From f2413c961f47bee8a483ae7b021128e3ecedb344 Mon Sep 17 00:00:00 2001 From: philcarmona <47579183+philcarmona@users.noreply.github.com> Date: Thu, 2 Apr 2020 23:08:40 +0200 Subject: [PATCH] Add files via upload --- AIcovid.ipynb | 201 +++++++++++++++++++++++++++++--------------------- ucovid.py | 103 +++++++++++++++++++++++--- 2 files changed, 209 insertions(+), 95 deletions(-) diff --git a/AIcovid.ipynb b/AIcovid.ipynb index 721b42b..40d945a 100644 --- a/AIcovid.ipynb +++ b/AIcovid.ipynb @@ -36,70 +36,29 @@ ] }, { - "cell_type": "code", - "execution_count": 2, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/usr/lib/python3/dist-packages/matplotlib/font_manager.py:1241: UserWarning: findfont: Font family ['normal'] not found. Falling back to DejaVu Sans.\n", - " (prop.get_family(), self.defaultFamily[fontext]))\n", - "/usr/lib/python3/dist-packages/matplotlib/font_manager.py:1241: UserWarning: findfont: Font family ['normal'] not found. Falling back to DejaVu Sans.\n", - " (prop.get_family(), self.defaultFamily[fontext]))\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "source": [ + "A more general case that would be worth investigating is the life cycle of Covid19 between Asymptomatic hosts (A) and Symptomatic hosts (S). Only A and S hosts can transmit the infections which may lead to:\n", + "\\begin{eqnarray}\n", + " \\frac{\\mathrm{d}I_A(t)}{\\mathrm{d}t} &=& p_A (\\beta_A(t) I_A(t) + \\beta_S(t) I_S(t))-\\gamma_A(t)I_A(t)\\\\\n", + " \\frac{\\mathrm{d}I_S(t)}{\\mathrm{d}t} &=& p_S (\\beta_A(t) I_A(t) + \\beta_S(t) I_S(t))-\\gamma_S(t)I_S(t)\n", + "\\end{eqnarray}\n", + "where $p_A+p_S=1$. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], "source": [ "import ucovid" ] }, { "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#ucovid.siraicov()" - ] - }, - { - "cell_type": "code", - "execution_count": 23, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -108,18 +67,39 @@ "" ] }, - "execution_count": 23, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "#reload(ucovid)" + "reload(ucovid)\n", + "#ucovid.siraicov()" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#ucovid.bsiraicov()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -129,18 +109,18 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "38c96e6ea54e4eb392610b5690123087", + "model_id": "0905f8117a244ed0b2dcf1fcafa0e80d", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "interactive(children=(FloatSlider(value=0.25, description='betaamax', max=0.75, min=-0.25), FloatSlider(value=…" + "interactive(children=(FloatSlider(value=0.25, description='betaA', max=0.75, min=-0.25), FloatSlider(value=0.2…" ] }, "metadata": {}, @@ -152,35 +132,84 @@ "" ] }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#interact(ucovid.siraicov,betaS=widgets.FloatSlider(min=0.1, max=0.5, step=0.05, value=0.25),nbpts=fixed(50),\n", + "# gammaA=widgets.FloatSlider(min=0.01, max=0.25, step=0.01, value=0.1),\n", + "# gammaS=widgets.FloatSlider(min=0.01, max=0.25, step=0.01, value=0.05),\n", + "# piS=widgets.FloatSlider(min=0.05, max=0.95, step=0.05, value=0.15),\n", + "# T=widgets.IntSlider(min=1, max=100, step=1, value=7))" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "#ucovid.bsiraicov(T=500)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "#ucovid.bsiraicov(T=7)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "#reload(ucovid)\n", + "#ucovid.bipersiraicov()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "f57784ad1ba249838be2efdb6498b1db", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(FloatSlider(value=0.25, description='betaA', max=0.75, min=-0.25), FloatSlider(value=0.2…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "interact(ucovid.siraicov,betaimax=widgets.FloatSlider(min=0.1, max=0.5, step=0.05, value=0.25),nbpts=fixed(50),\n", - " gammaa=widgets.FloatSlider(min=0.01, max=0.25, step=0.01, value=0.1),\n", - " gammai=widgets.FloatSlider(min=0.01, max=0.25, step=0.01, value=0.05))" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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l2f6upWuN9ZSUbAx1yGKRUZUsiouLcblcshBPiBCb9Hhptg9yudmXHBpu3GZ8wuNPDhVlOZjzUjHnppIYLzOVxINTlSzq6+vZtm0bRqORpKQkfzfUO++8E6z4hBD4Ziu1djm43NzH5eY+bC19/k19stfoeOqRtRTnrcCcl0qSJIclzTM6hLurmai+VqBkwd5XVbL43e9+F6w4hBB3URSFrr5hLjb1crm5l/rmPv/q6My0RJ4sMbJp3UrMeanoE7UhjlYEi+L1MN7ThruzibHOa7i7mpjo7wIgPj4Znvr2gsWiKlkkJSUFKw4hlr3bzjEuXev1JYhrvfQ5xgBYmRzHw6Y1bMxfwcZ1K0jVx4U4UhEsk0O37ySGJtydTbi7W1AmfOtdIhP0aNPXk1j8VWIz8mm45VrQ2AImi7feeouDBw/O6h9T81ohlrtR9yTW631cbOrl4rVe2ruHAEiKj2Fj/goO5K9kU/4K1qQmyFTWJcg74Wa8u9WfGMY6m/AM9fsORkahXZ1L0uZdxKbno81YT5R+5fT/B/11CxpvwGRRVFTECy+8QEVFxYxVZl0uFydPnuTEiRPTNkYSQkzn8So02we42NTLhaZeGm/cxuNViImKoCg3lR1bjWzKX0lOul4WwS1Bk85+xjqvMtZxFXfHVdzdLeD1jTtFGdKIzdpAbMZ6tOnr0a7KRhMVHeKIpwuYLEpLSyktLeXNN9/kueeeo7OzE71ej6IoOJ1OMjMz2bNnD7/97W+lm0qIL+i5PcKFph4uXPW1HqZWSedm6Pm7J/LYvD6NDTkpUj5jiVG8HsZvtTHW0chY51Xc9kYmnX0AaKJi0KbnY3jkm2gzCojNWE9kgj7EEQc26zGLF198kRdffDGYsQix6I25J6m/3seFpl4sl7rpd3YAvhIapeY1bC5Yyab8lTIovcR4Rod8XUkdd1oOXdf+NtaQlEJsZiH6h79BbGYhMauy0UQuvnLtiy9iIcKIoii0dw9R19jDhas9WFv6mfR4iYmOJGtFFE9/tZAtBWlkpknJ7qVCURQmB28x1t5wJzk0MtHn+1CAJoKYVTkkfWUHsZmFxGYWEKVbEdqA54kkCyFUGhmb4GJTL3WNPZxvvOWftZS1OomvP5rDloI0TLmp1F++SElJXoijFQ9M8eLubmHMfuXOn0Y8rgEAImITic0sINH8OLGZBWjXrCMiZmmWT5FkIUQAU62Hc1duUdfYQ0NrPx6vQnxsFF9Zv5JnClaxpSCNlckypXUp8E64cd9sZqzdlxwMbQ10esYBiNKtIC672NdqyNpA9IpMNJqIEEe8MCRZCDGDMfckl671cq6xh3NXbtE3OAr4Vks//eQ6SgrTKMxOISpyefyiWMo8oy7fQPSdloP75nXwTAIQvdLIeLoJ45YniDUWEqVfGeJoQ0d1srhy5QqDg4PTvid7WoiloLt/mLMNtzh35RaXm/uY9HiJ0/paD8/uLqCkME0WxC0BnmEHo+0NjLXbGGu3Md7T7jsQEYV2TR76h77uazkYC4mMS6Kuro5E88KV1QhXqpLF/v37MRgMZGRk+L+n0WgkWYhFyePx0tg2wBlbN2evdGO/syI2Y2UiX380h60bVlGUk0p0lLQeFrNJ16AvMbTZGG23+QejNdFaYjMLSX5iO7HGDWjT1xERLbPU7kVVstDr9bz11lvBikWIoBseneB8Yw+f27qpa7yFa3SCqEgN5twVPPVINtuKVpG+QqoqL2aTQ7cZa7cx2tbAWLvVX0tJExNLbOYGkoqfIHatGe3q3EU5hTVUVN2psrIyPvjgA0pLS6VMuVg0uvuHOWPr5kxDN9brvsFpXUIMD5lW81DRajYXrCQ+NrxWy4rZm3T2MdpmY6y9gdE2K5MD3QBotPHEGTeQtGkHsVkmtGty0UTI4se5UpUsBgcHqaqqIisrC5j9TnnV1dXodDrsdjsVFRXodLppx6f29LbZbBw+fPhLx4VQw+tVaO4Y5HNbN2ds3dy46QTAuCqJp59cx0NFq1m/NplIKamxKHmGHYy2WRm9Uc/ojXp/coiITSDWuAFdyVPEZZl8i98kOcwb1TvlNTY2qnoDu92O3W7n0KFDOJ1Oqqqqpu3hbbFYMJvNmEwmqqur+dGPfsSvf/1rVe8hxMSkl/rmPj6z3eRzaze3nWNEaKAoN5WD3zTzkEm6lxYrz9iwr9Vw4zKjN6xM9PoGpDXaeOKyTOi3VhCbZSImLUuSQxCpShbbt29XvVPeVKsCQKfTYbFYph13Op3U1NRgMpkwmUxUVVWpCUksYyNjE9Q19nCypp9fvHuKkbFJtDGRbClI4xHzarZuWI0uQTYCWmy8E27G7I2MtdUz2lrvK7ineNFExRBr3ECS+TFi1xZLt9IC0yiKosz2xfv27ePKlSuqdso7evQoxcXFlJeXA7Bt2zbOnj0742urq6s5efLkrFsWbrcbq9U62/DFEjA85uFq5xhX7KO0dI/h8UK8NoKCzFgKM+LIXR1LdJR0Ly0qXg+Rji6i+28Q1X+DqMFONIoXRROBR5/ORGo2k6lrmTRkQIQMSM8ns9mMVju7GWBhtVPeyZMnee2111Sfp+aC71ZXV0dJSfjNn5a4put3jFJbfxPL5ZvYWvrwKpCWHMfeR3MpNa9h9PYNtm3buuBxBSLPcWaKojDR18Fo6yVGWi4x1t6AMjGGAmhX5xL38Dd8q6SNhUTEhH5dS6jv1708SFxz+aCteqc8l8uFxWLB4XDMuL/FFxkMBhwOR8B/+9ixY7z22msyuC0A3wwmy+WbWOq7uNrmq8NjXJXEd3as55HiNeRl6P2F+eoG20IZqpgFz7CD0dbLjLReZLTlMh7XbQCiU9aQtPFJ4rI3cnVggi2lj4Y4UnEvqpJFbW0tR48eZfv27SiKwr59+3jllVfYtWvXPc8pKyvj5MmTgG98YqYFfBaLhcrKSv+YRllZmcrLEEtBV6+Lmstd1Fzu4nqH7wNGboaef6wopKw4HeMq2S9lsZgadxhtvcRoyyXGe24AEBGXSFx2MXE5m4jL2US0Ic1/jlK3sDu/CXVUJYs333yTd9991//14cOH2b9//32Thclkwmq1YrFYsNls/m6mnTt3cvr0aWw2Gy+99BJ6vW/zj6KiIkkWy0hnr4tPL3VSc6mL1i7fFNeCrGT++etFlG1MZ3VqQogjFLOhKF7Ge9oZbbnIaOtlxuxXUCbHISKKWGMByU/+PXE5m9CuzpFB6UVKVbKYaSx8NuPjlZWVANOSwOnTpwFfMrnXgLdYmrr6XHx6sYuaS120dPlaEIVrkzn4TTNlG9eQlhwf4gjFbHhGnIy2XGLk+nlGWy/hGfY9y+gVmSRt2U18zkZis4rCYtxBPDhVyaK8vJyXX36ZPXv2AL7FdHv37g1KYGJpuXV7hE8vdvLXS53+LqapBLF9Y7qU914EFK8H983rjDSfZ7TlIu6uZkAhIl5HfM4m4nI3EZe9kShdaqhDFUGgKlkcOHAAk8nkX3H94osvShFBcU/9jlE+vdTFXy90crXdN0i9PsvAwW+aKNuYLi2IRWDSNchoy0V/68E76gJNBNr0dSQ/foC4vC3StbRMqJ60bDKZpq3AFuJuzuFxai77EoS1pQ9Fgdx0Pc/vLeLRTTIGEe4Urwd3ZxMjzecZabnIeHcLAJEJBuLztxKfu5m4nE1Exstkg+UmYLLYtWsXGo0GRVFwOn0DkFOD0Q6Hg8zMzPsuyhNL36h7ks9t3XxyvoMLV3vweBUyVibwzK4CHvtKhsxiCnOTrgFf19L1C77Wg3sENBHEZvoGpuNzNxOzOnvZ7AgnZhYwWXzwwQf+v7/66qvTWhVTtZ7E8jPp8XL+ag+fnO/gc1s37nEPKwxxfOvxPB7fnEHuXesgRJhRFNzdLYxcO8fItTrcN5sBiExMIaHwEeLythCXs5HIWGkFir9R1Q1ls9mmfa3T6b70PbF0KYpCY9tt/lzXwV8vduIcHicpPpqvlRh5fHMGRTmpREgl17DknXD7FsU116FvqKXT7QI0aDPySX7iWeLXlfiqtEqCF/egKlmYTCYOHjzor/N06tQpTCZTUAIT4aOrz8Wf6zqotnQz4OokJiqCh81reHJLJpsL0mQnuTA16exj5FodI811jN6oR5kcRxMTy2TyWjIe2kV83hYiE/ShDlMsEqqSxZEjR6itrcVisaAoCocOHZLZUEvU0Mg4f73Yycfn7DS2DaDRQHaaluf2FlO2MV02CwpDiuLF3dXs716aWjUdZVhF0uZdxOeXEJdVxPmLl0naGH61jkR4U5UsXC4Xp06dwmaz8c4772C323nrrbc4ePBgsOITC2jS46Xuyi0+PGfnbMMtJj1eslYn8U97i3hiSyZt1xsoKVkb6jDFXaa6l4avnmGk+RzeEadvcNpYSMrX/hvx+VuJTs2Q7iXxwFQli5deeomf/vSn/kFto9GIxWKRZLHItXQ6+PBsO59c6MDhGseQqGXv9hy+WpI5baBayvWFB8/IECPNdQw3nWG05SLKhJsIbTxx67aQkL+VuNyvEBknM9DE/FKVLAYGBjAajdM+pajYDkOEEYfLzZ/Pd/Dh2XZau5xERUbwsGk1X9tmZEtBGlGRMg4RTiYcPYw0nWX46hnG2htA8RKZlELSxq8SX/AQcVlFaCKla1AEj6pksWfPHl544QUcDge1tbUcP37cP9gtwp/H46WusYfTZ9s5Y+vG41XINxr43r6NPL45g6R42VUuXCiKwnhPGyNNZxi+eobxW60ARK80Yih7moT1DxGzJk+6l8SCUZUsXnzxRX/JcYvFwr/8y79QVFQUrNjEPOnoGeL0mXY+OmdnYMiNIVHLNx7LZee2LNaukf1DwoXi9TDW0cjI1TMMN51hcrAH0KDNLCBlx3MkrN9GdEp6qMMUy5TqAe7jx4/LAPciMDY+Sc2lLj44046tpZ+ICA3bNqxix7YsthWtkm6mMKF4JhltszJ8pZbhpjO+AerIKOJzNmEo2098/laiEg2hDlMIGeBeapo7Bnn/szY+udDByNgk6SsSeH5vEV/baiRFFxvq8ASgeCYYbb2M68pnjDSdwTvmQhMTS/y6EhIKHyE+dzMRWqnCK8KLDHAvASNjE3xyvoP3Pm/jeoeDmKgItm9K56lHsinKSZF+7TDgnRxntOUSw421jDSdxeseQaONJ2H9NhIKS4nL3URElIwZifD1wAPcFRUVwYpN3IeiKFyzD1Jde4O/XOzEPe4hJ13H954u5okSI4lxMjMm5DwTDDd+znBjLcPXzqGMjxIRm0B8wcMkFpYSl7MRTZQ8J7E4yAD3IjMyNsEnFzqprr1BS6eD2JhInticyVOPrCXfaJBWRIh5x8cYuX6B4cZaDFfPcMszQURcEolF231F+rLNMsVVLEqqksXLL7/ML3/5S0kQIdDa5eCU5QZ/Pm9n1O1rRfwf+zfy5JZMKb0RYt4JN6PXL+CyfcpIcx3K5DgR8TrG082sfewbxK01y+ZAYtFTlSzMZjO/+c1veOGFF4IVj7jL+ISHmstdnKxppbFtgJioCB79SgYVZdkUZCVLKyKEFM+kb5C6oYbhq5+jjI8SmaAnadPXSNhQSqxxA+cvXCQ+Z1OoQxViXqhKFhaLBYvFwuuvv45erycxMRGNRiObH82zAdckv/0vGx+cacc5PE76igQOftPEjm1ZsnAuhBTFy1j7FVy2TxlurMU7OkSENp7EDaUkmB6VFoRY0lQli1/96lfBimPZ83oVLl7r5U+ftnKmoZsIDTxkWs3e7TlsXLdS9okIEUVRcHc1M9zwKa4GCx7XbTTRWuLzt5Joeoz43K/IILVYFgImi4MHD/LWW28B0NHRwYYNG4Ie1HIyMjbBh2ft/Kmmhc7eYfSJMTxmSuKfny5lZbLMtQ+V8Z52XLa/4mqoYXLwlm+hXN5mEoueJz5/KxExsmZFLC8Bk4WiKLhcLhITE6mqqvInDvFgOnqG+NOnrXx4rp1Rt4eCrGR++PcFbN+UzuVLFyVRhMDEYA8u619wNdQw0dsOmgjisotJfvTbxBc8LNuMimUtYLI4fPgwP/jBD7Db7djtdnbv3u0/pigKGo2G999/P6hBLhVer8L5qz38709bON/YQ1RkBI9vzmBX/0dqAAAgAElEQVTv9hzWZyWHOrxlyTs2jOtKLS7rJ75qroA2s5DUp14kobBUSm0IcUfAZFFUVMRvfvMbAN58801efPHFoAe11Iy6J/nonJ3//dcWOntdpOi0/GN5IU89ko0hSRvq8JYdxTPJSMtFXPWfMNJ0FsUzQXRqOslPPEui+XGiDWmhDlGIsKN6UZ6Yvd6BUf5U00L1Z20Mj06QbzTww38oYfvGdNm3eoEpisL4zesMWT/BZfsU74iTiHgdSZt3klj8JFop9y3EfalKFmJ2rtkH+OMn1/n0UhcoCqUb0/nWY3kUZsvaiIU26exjqP4vuKyfMNHXAZFRJORvI7H4CeLzNqOJlB8BIWZDflLmidercKahmz9+ch1bSz/xsVF887FcvvFoLmkp8aEOb1nxukcZbqxlqP4TxtpsgEKscQP6in8hYUMZkXGJoQ5RiEVHksUDck94+OhsO3/85DpdfcOkJcdx8Jtmdj+cJWU4FpCieBlrszF06SOGGz9DmRwnKnk1yY8f8I1DJK8OdYhCLGqq1llcuXJF1lnc4XC5OWm5wX992oJzeJx1RgP/1z9upWzjGiJlY6EFM+nsI7b5U+yfvcnkYA8RsQkkbnySpI1fRZueL91+QswTWWeh0q3bI/zxz828f6ad8QkP24pW8fST6zDnpsovpgWiTE4wfO0sQxc/ZLTlEnEoRGcXk/LE3xNf8BAR0TLDTIj5Nqd1FlPrK5bTOovWLgd/+Ogan17qIkIDT24x8vSTeWStlj2sF8p4TxvOix/isv4F7+gQkboVGB7dT1tEGrmP7Qh1eEIsabLO4j4URcHW0s8fPrpGXWMPcdpIvvV4Ht96PJdUvaywXgjesWFctk8ZuvQR7pvNvtlM6x8iadPXfJsHRUTSWlcX6jCFWPJUr7NwuVxYLBYcDgcVFRUkJi69mSWKonDuyi1+/+E1rty4jT4xhv9WsYE923NkB7oFoCgKY+02hi5+6B+sjknLInXXP5NofpzIeGnNCbHQVCWL2tpajh49yvbt21EUhX379vHKK6+wa9euYMW3oDxeBculLt7+sIkbN52kJcfxvaeL2fnwWrTRUnp6IUw6+7j5//6Uids30WjjSdz4JLpNO4iRRXNChJSqZPHmm2/y7rvv+r8+fPgw+/fvD5gsqqur0el02O12Kioq0Ol0qo4H26THy5/r7Pzho2t09g6TmZbI//nsZh7fnEmUzGxaWJpItJmFGB79DgmFj8hgtRBhQlWyUBRlVt+729TA+KFDh3A6nVRVVXHkyJFZHw+mSY/CKUsrf/joGj0Do+Sm6/m/n99GqXmN7B8RIlFJyaR947+HOgwhxBeoShbl5eW8/PLL7NmzB4ATJ06wd+/e+54z1WoA0Ol0WCwWVceD5TPrTX79v7oZGu2kYG0y39u3ka0bVklXhxBCzEBVsjhw4ABms5njx48DvgHv0tLS+54zODiI0Wj0f+1wOFQdnw2r1ar6nA/ODbBCF8XflSaTu0qLZrST8+c7Vf87wVIXpjN8JC51JC51JC51FjIu1eU+ioqKFqybaLbMZjNarbq+7ZIS340uKSkJUlRzJ3GpI3GpI3GpsxTjcrvdqj9kB3301mAw3Le1EOi4EEKI0At6sigrK6O9vR0Ap9P5pW6rQMeFEEKEXtCrzppMJqxWKxaLBZvNxmuvvQbAzp07OX369D2Pz8bUTKzx8fE5x+d2u+d8bjBJXOpIXOpIXOostbimfmcGms16N42i4tVVVVW8/fbbGAwG/xuFsjbU0NAQTU1NIXlvIYRY7NavX09SUtKsXquqZWGxWDhz5sycggqGhIQE1q9fT3R0tEx5FUKIWVIUhYmJCRISEmZ9jqpkUVxc7C9XHg4iIiJmnRWFEEL8TWxsrKrXq0oW9fX1bNu2DaPRSFJSkr8b6p133lH1pkIIIRYXVWMWQ0NDM35fPt0LIcTSpmrqbFJSEhqNhtraWqqrq9FoNJIohBBiGVCVLGpra3nuueeor6+nra2Nffv28cEHHwQrNiGEEGFCVTfUwYMHv7QH9/79+2XMQgghljhVLYu5lCgXQgix+AW9RLkQQojFL/KnP/3pT2f7YpPJhNFo5NSpU7S3t1NZWck3v/nNIIY3d9XV1fT09GCxWMjKyvpSVVqn08kf//hHnE4nTqeTtLS0gOeEKi6bzUZsbCw9PT1oNJqQxGW329Hr9arOCVVc4XC/qquraW5uprm5Ga1Wi16vD4v7NVNc4XC/jh07Rm9vLx9//DH5+flotdqwuF8zxbUQ9wt8vwt+/vOfk5aWRlpa2qxiD+o9U5ag9vZ25Y033lAURVEcDofy4x//+Euv+f73v+9/7Y9//ONZnROKuBRFUZ5++mll69atQYlpNnG1t7crW7duVXbs2KHs2LFD2bp1q9LQ0BDy+zVTXA6HIyzu16lTp/xf/+IXvwiL/18zxaUoof//VVNT4/9ee3t72NyvmeJSlODfrylWq1X5/ve/r1it1lnFHux7FrAbavfu3f7aT/v27ZtWVkMJ00V5gXbfs1gsGAwGnE4ner2eI0eOcOzYsaDv2DeXuAC++93vUl5ePu/xzDYuu93O2bNnAd+nHavVyqeffhry+zVTXDqdLuT3C+CNN96grKwMgKysrAXZEXIucUHo/3/V1NT4N0AzGo289957GAyGkN+vmeJ65ZVXgn6/pphMJn8dvi+aKXaj0RjUexYwWdw9++l3v/vdvL55sATafc9mszE4OAjAqVOnMBqN87JjXzDiKisrw263+6vylpeXT/s3FiKuqV8uU3FVVlZO+0Ga6ZxQxQWE/H4ZjUYqKirYsWMHFRUVHDlyhKNHj4b8fs0UF4T+fmVlZfm3KbDb7TgcjrD4eZwprqm/B/N+zcZMsQf7ngWcDXX3m7/99tskJSVN+1NVVTWvAS2UqU8uFRUVvPrqq6EOx2+muA4dOkRZWRnl5eUhjdVms2E2m0P2/vfyxbjC5X799re/xWKxcOzYsZDFMJMvxhXq+1VZWcnQ0BBOpxO73b7g738v94or1PcrVFRNnf1is2ZoaIj6+vp5DWg+BNp9T6fT+Vee63Q6HA7HguzYN5e4qqurp/2yCcYP02yvvaqqCpPJpOqchY4rHO7XiRMnKC8vx2Qycfr0aU6dOhUW92umuMLhfgEcOXIEu92O0WjEbDaHxf2aKa6FuF+zMVPswb5ns0oWdrudffv2UVNTw/79+9m/fz/79u3jn/7pn6Z1BYSLQLvvVVRU+Otc2e12zGbzguzYN5e4dDqdv3/UZrPx1FNPLXhcU+7eszcc7tdMcYXL/bp7hlZFRUXY3K8vxhUO98tut/Pqq69iMpmwWCz+T+6hvl8zxbUQ92s2Zoo96PdMzWj40aNH53V0PZiOHz+u1NTUKG+88YbicDgURVGUHTt2TDt+6tQp5Y033lDa29vveU64xHXq1Cn/bIxQxKUovlkggc4Jl7hCfb/eeOMNpaamRjl+/HhY/f+6V1yhvl9Tx48fP37fc8IlrmDfL0VRlFOnTilPP/20f3bYvWK7O/Zg3jNV5T5efvllfvnLX85vtnoAXq+X4eFh2fxICCFUUO7a/CgiYnajEaqSxZtvvklERAQvvPDCnIOcT7KtqhBCzF1Qt1W1WCy8/vrr6PV6EhMTQ7rOIjo6GvBdcExMTEhisFqtYTlDaL4th+tcDtcIy+M65Rrvb3x8nKamJv/v0NlQlSx+9atfqQ4qmKa6nmJiYoK25H42QvneC2k5XOdyuEZYHtcp1xiYmu572fxICCFEQLL5kRBCLAKTHi/N9kH+69MWqv6fOv7X5wML+v6quqHefPNN3n33Xf/Xhw8fZv/+/ezatWveAxNCiOVswDlGY9ttrrYN0Ng2wDX7IOMTHgBSdFryV89+vGE+qEoWM02cUjGZSgghxAwmJr20djl8yeHGAI3tA/TcHgEgKlJDXoaB8tK1FGalUJCdzEpDHOfPn1/QGGXzIyGEWGD9jlEa2wZ8rYYbt7neMcj4pBeAFfpYCrJT+MajORSuTSE3Q09MdGSII1aZLA4cOIDZbOb48eNoNBpefPHFoCzDF0KIpWJi0kNLp4PGO4nhavsAvQOjAERFRrAuU8+e7b7EULA2mRWGuBBHPDNVyQJ8ZW+zsrLQaDT3rLUuhBDL1cDQGFdab3Plxm1fq6HTwcSdVsPK5DgK16bwrceTKVybTG6Gnuio0LcaZkNVsvjJT36C1WrlmWeeQVEU/u3f/o1HH32Uf/3Xfw1WfEIIEba8XoWOniEa7iSHK623udk/DEB0VATrMg18/dFcCtcmU7A2mVR9eLYaZkP1Cu67p8oeOHCAffv2SbIQQiwL7gkP19oHuHLjNg2tvpaDa3QCAH1iDBuyUygvzaYoJ4W8zMXTapgNVclipnLkU1szCiHEUnN3l9KV1ttc7xxk0uObAWpclUjZxnQ2ZKdQlJPCmhUJS7qgqapkUV9fz8MPP4xer0dRFP9GG7t37/bvxz21X7cQQiwmXq+CvWdoWnKY6lKKiYogPyuZv3tiHRtyUihcm4IuITT16EJFVbJYLHtwCyFEIPfrUjIkatmQk0JFWTYbclLIyzAQHaWq4MWSoypZJCUl4XK5sFgsOBwOKioqSExMDFZsQggxb0bGJrhy4za2ln6s1/u5Zh9k0uObpTTVpVSUk8KGnBTWpC7tLqW5UJUsamtrOXr0KNu3b0dRFPbt28crr7wi5T6EEGHH4XJja+n3/Wntp7XTgVeByAgN64wGvvV4LkW5qWzITiEpfnl1Kc2F1IYSQiwJPQMjNLT0Y23pp66hm77/rwOAmOhICtcmU7mrAFNuKgVZycRqVS8xW/akNpQQYtFRFIXOXpevS6mln4aWfnrurIpOiI0iPSWKvY+tx5ybSl6mjDfMB6kNJYQIex6vwo0uh79LqaHlNoMuN+AbjDblpvJ3T6zDlJvK2jU6Ll44T0lJfoijXlrmXBsKkNpQQoig8Hi8NHcMUn+9H+v1Pq7cuM3I2CQAaSnxbC5YiSl3Bea8VNKX+PqGcKEqWbz88sv88pe/5MiRI8GKRwixDHk8Xq53Oqhv7qP+eh8Nrf2Mun17N2SmJfL45kxMuamYclJZmbx4S2YsZqqShdls5je/+Q0vvPBCsOIRQiwDHq9CS+cg9c391F/vw9bSz6jb13IwrkrkyRIjxXm+lkNyUmyIoxUwh9pQFouF119/Hb1eT2JiIhqNhnfeeSdY8QkhlgCPV6G100H99T5/cpjqVspYmciTWzL/lhx0khzCkapk8atf/SpYcQghlpCpAen6633UN/dja+lj2J8cEnjsKxlsXLcCc94KUiQ5LAqqV3DX1tbS0NAA+AoLbtiwISiBCSEWD69X4cZN553k0Ie1pZ/hO6Uz0lck8OhXMjDnraA4L3VRl+lezlTvZ1FfX88zzzwDIPtZCLFMKYpCR4+LS9d6uXStF+v1fn9dpTWpCWzfmE5xXirmvBVhu/ObUEf2sxBCzErf4Kg/OVy61sdt5xjgm8paWrzmTsthhcxWWqIWZD+L6upqdDoddrudiooKdDrdtOMnTpwAwGazcfjw4S8dF0IsPNfIOJeb+/zJobPXBYAuIYZN+SvZlL+CTfkrWZ2aEOJIxUKY834WAIODg8D997Ow2+3Y7XYOHTqE0+mkqqpq2joNi8WC2WzGZDJRXV3Nj370I379618/6HUJIVRyT3hoaOn3JYfmPq53DKIoEBsTiTlvBeWla9mUv5K1q3VERMgiuOUm6PtZTLUqAHQ6HRaLZdpxp9NJTU0NJpMJk8lEVVWV6vcQQqjn8Xi51jHIpWu9XL7mWyU9MeklMkJDwdpknt1VwMb8lazPSpbaSgKNEuRKgEePHqW4uJjy8nIAtm3bxtmzZ2d8bXV1NSdPnpx1y8LtdmO1WuctViGWMkVR6HVO0tI9Rmu3mxs9btwTvh//VYZocldryV2tJWulFm20JIflwGw2o9VqZ/XasKrTe/LkSV577TXV56m54PlWV1dHSUlJSN57IS2H61yK13jbOcaFqz1cbOrlcnMft52+4nurU+N5siSLTfkr2bhuBfrE0Pz8BMtSfJZf9CDXOJcP2kFPFgaDwb9X9/0cO3aM1157TQa3hXgA4xMebC39XGjq5cLVHm7cdAKgT4xh07qVbMxfSaS7m51PPBziSMViE/RkUVZWxsmTJwHf+MRMVWotFguVlZX+MY2ZZl0JIb5MURTabw1x4WoPF672Yr3ex/ikl6jICIpyUnh+bxFbCtLIXvO3Qem6ur4QRy0Wo6AnC5PJhNVqxWKxYLPZ/N1MO3fu5PTp09hsNl566SX/DKuioiJJFkLch8Pl5tK1Xi5c7eVCUw/9Dt96h8y0RJ4qzWZLQRrm3FTZDU7MK1X/m1wuF4mJiQG/90WVlZXA9HUap0+fBnzJ5F4D3kIImJj0crXtNheaejl/tcc/pTUxLppN61eyeX0amwtWkpYcH+pQxRKmKlns27fvS+soZvqeEGLuFEXhZv8wFxp7uNDUy+XmXkbdHiIiNBRkJfPs7kK2FKxknTGZSFnvIBaIqmQxU1KQRCHEgxseneBys69r6fzVHm7dHgFgVUo8T24xsrlgJRvXrSQhLjrEkYrlSjo1hQgBRVFo7x7i3JVbnGu8xZXW23i8CnHaSDauW8nTT+SxuTCNNamyZagID5IshFggo+5JLl3r5dyVW9RduUXfnYHpnHQd+766js0FaRSuTZHV0iIsSbIQIkimynjXNd6i7koP1pZ+Jj1e4rRRfGX9Sp4pXMXWDWmyv4NYFCRZCDGPxsYnsV7v93UvXbnlH3swrkriG4/lsnVDGhuyU6X1IBYd1clCdsoTYrqbfcP+sQdrs29RnDYmkk3rVrL/q+soKVxFWopMaxWLm+qd8qxWq3/dhOyUJ5ajiUmPr/XQ6Bt76OwdBnx7S5eXZVNSuApzbiox0ZEhjlSI+SM75QkxC70Do5y70s25Kz1cau7FPe4hJioC87oV7N2eS8mGNNJX3H9xqhCL2YLslCfEYuP1KlzvHOSM7RZnbN20dPmKYaalxLNzWxZbN6zCnJdKbIwM+4nlIeg75QmxWExMKpxp6OaMrZuzDbe47RwjQgOF2Sn8094iHjKtJjMtUdY9iGUp6DvlCRHOBpxjnL3iaz3UNd5i0tNJnDaSLQWreMi0ipLCVUturwch5kJVskhKSgpWHEIsCEVRuHHT6W9BNLX7Wscrk+PYkhfP3ic3UpyXSnSUDE4LcTfpcBVL3sSkF+v1Ps7YujnT0E3PwCgA67MM/GNFIQ8VrSZ7jY7z58+zpSAtxNEKEZ4kWYglyTk8zrk73Uvnr/Yw6p4kJjqSzetXcmBnAduKVpGiiw11mEIsGpIsxJLR2evic+tNzjTc4kprP14FUnRaHt+cwUOm1WzKX4lW1j4IMSeSLMSipSgK1zsc1FpvUlt/E/utIQBy0/Uc2FnAQ6ZV5GUY/NuJCiHmTpKFWFQ8XoWG1n4+q79JrfUmvQOjRERoMOemsqcsm4dNa1iZLIX5hJhvkixE2Buf8HDpWi+19Tf53NaNc3ic6KgIthSk8fe7C3nItBpdQkyowxRiSZNkIcLSyNgEdVd6sNR3Udd4i1G3h/jYKLZtWE1p8Rq2FKYRp5X/vkIsFPlpE2HD4XLzua2b2vqbXGzqZdLjxZCo5fHNmZQWr2HjupVS2luIEJFkIUKq5/YIn1lvYqm/6Z/BtColnq8/msMj5jUUZqcQKQPUQoScJAuxoBRFwX5riNo7A9TXO3wF+rLX6Diws4DS4jXkpOuk/pIQYUaShQi6qRIbn17qouZSF529LgAK1ibzz18v4pHiNVLeW4gwJ8lCBMX0BNFJZ+8wERooXreCbz6ey8Om1bL3tBCLyIIki+rqanQ6HXa7nYqKCnQ63bTjTqeTqqoqKisrMZlMCxGSCIKpBFFzqYtPv5AgvvXEOkrNazAkSQVXIRajoCcLu92O3W7n0KFD/qRw5MiRL71mam8MsbhMTxC+LiZJEEIsPUFPFlOtCgCdTofFYvnSa0wmEwaDIdihiHmiKApt3UN8erFzWoIw563gW0/kSYIQYgkKerIYHBzEaDT6v3Y4HPP+Hlardd7/TTXq6upC+v4LQVEUTn74Gbb2EWzto/Q7J9FoIDtNy95tBjYY40iMjQT6ud7UH+pw52w5PEtYHtcp1zi/lsQAt9lsRqsNzSfZuro6SkpKQvLeweZvQVzq5MPPW+hzTvpbEJW70nmkeA3JSUunzPdSfpZ3Ww7XKdd4f263W/WH7KAnC4PBEJTWhAgORVFo7x7ir5c6qbnURUePr4spK03Ld3YVUbrEEoQQYnaCnizKyso4efIk4Jv1VFpaGuy3FHPQ3T/MXy508smFDtq7h/wtiG88lktp8RpammyUlOSEOkwhRIgEPVmYTCasVisWiwWbzcZrr70GwM6dOzl9+jTgGwS3Wq0kJSWh0+mmjXGI4BkYGqPmUhefnO+gsW0AgKKcFL63byNlG6UFIYT4mwUZs6isrAR8rYwpU4kCoLy8nPLy8oUIZdkbGZvgM+tNPjnfycVrvXi9CjnpOp7fW8TjX8kgLSU+1CEKIcLQkhjgFvc3Menh3JUePrnQwVlbN+OTXlalxPPtr+Xz+OYM1q7WBf5HhBDLmiSLJcrjVbBe7+OT8x1YLncxPDaJPjGG3Q+v5YmSTAqykqVYnxBi1iRZLCGKonDNPshfLnTy14sd3Ha6idNGUlqczhObM9mUv4LISNkPQgihniSLJaCjZ4hPzvtmMt3sGyYqMoJtRat4fHMG24pWo42ODHWIQohFTpLFItXvGOWvFzv55HwHzR0ONBrYuG4F3/laPqUb00mMiw51iEKIJUSSxSIy6p6k5lIXH9fZqb/eh6JAvtHAi98y8+imdCn5LYQIGkkWYc7rVahv7uPDc+1Y6m/iHvewZkUCz+4q4IktmaSvlE2DhBDBJ8kiTHX0DPHROTsf13XQNzhKQmwUT27JZMfWLAqzZSaTEGJhSbIII66Rcf5ysZOPztq52j5AhAY2F6TxwtdNPGSWgWohROhIsgixSY+X81d7+Oisnc9t3Ux6vKxdncQ/f93EkyWZpOik5IYQIvQkWYRIa5eDD8/a+eR8B4MuN7qEGPaUZfPVrUbyMvTSzSSECCuSLBbQwNAYn5zv4KNzdlq7nERFathWtJodW42UbFhFlCyYE0KEKUkWQTY+4eFMQzcfnrVz/moPXq9CvtHA954u5rHNmegSYkIdohBCBCTJIggUReFq+wAfnbXzl4udDI9OkKKL5ekn8tixLQvjqqRQhyiEEKpIsphHDpebj+vsvP95G/ZbLmKiIyk1r+Fr24xsyl9JZISMQwghFidJFg/IqyhcuNrD+5+38Zn1JpMehYK1yfz373yFx76STnyslN0QQix+kizmqG9wlNNn2/mvv3bjGO4kKT6aPdtz2P3QWtaukf0hhBBLiyQLFSY9Xs423OL9z9s433gLrwK5q7X8y9ObeaR4NdFRsmhOCLE0SbKYha5eF+9/3saH5+wMDrlJ0cXy7R3r2fVQFp03GinZnBHqEIUQIqgkWdyDe8JD7eUu3vu8Dev1fiIiNGzbsIrdj6ylpCDNv4lQ543QximEEAtBksUXtHY5eP+zNj4+38Hw6ARrUhN4bs8GdmzLktIbQohlS5IFMDI2wScXOnn/8zaa7YNER0VQVpzO7keyMOeuIEKmvAohlrllmywURaHxxgDvf97GXy914h73kL1Gx3f/rpgnSzJJipeV1UIIMWXZJov/+YdLvPdZG3HaSJ7cksnuh9eSbzRIAT8hhJjBsk0W2zemU7g2he2b0onTLtvbIIQQs7IgvyWrq6vR6XTY7XYqKirQ6XSqjgfD5oK0oL+HEEIsFUGviW2327Hb7ZSVlVFRUUFVVZWq40IIIUIv6C2LqVYDgE6nw2KxqDp+P4qiADA+Pj5P0c6N2+0O6fsvlOVwncvhGmF5XKdc471N/c6c+h06G0FPFoODgxiNRv/XDodD1fH7mZiYAKCpqekBo3wwVqs1pO+/UJbDdS6Ha4TlcZ1yjYFNTEwQGzu79WOLemQ3ISGB9evXEx0dLbOYhBBilhRFYWJigoSEhFmfE/RkYTAY7ttaCHT8fiIiIkhKko2EhBBCrdm2KKYEfYC7rKyM9vZ2AJxOJ6WlpaqOCyGECD2NomaEY45OnDiB0WjEZrNRWVmJTqdj586dnD59+p7HhRBChI8FSRZCCCEWt6B3QwkhhFj8JFkIIYQISJKFEEKIgCRZCCGECCjypz/96U9DHUQ4q66upqenB4vFQlZWFlqtdtpxu92OXq+f9j2bzUZsbCw9PT1oNJovnRNuAl1jdXU1zc3NNDc3o9Vq0ev1Ac8JN3O5xsX2HCHwdR47doze3l4+/vhj8vPz0Wq1S+5ZznSNi/FZOp1Ofv7zn5OWlkZa2pcLn850H4L5LKVlcR+zKYK4b98+du7cyc6dO9m2bRtOp5Mf//jH7Nixg2PHjoX9NODZXCNAeXk55eXlHD9+fNEVf5zLNQKL6jlC4Ou0WCzY7Xb/db7++utL7lnOdI2w+J4l+K51cHDwnse+eB+C/SwXdbmPYAtU5NBut3P27FnA9ynAarWi0+n47ne/S3l5+YLHOxezKeT4xhtvUFZWBkBWVtYDFX8MhblcI7ConiMEvs6amhp/HTaj0ch7772HwWBYUs9ypmt85ZVXFt2zBDCZTBgMhhmPzXQfjEZjUJ+ltCzuY3BwcFoX0xfLkkz9cgE4deqU/2u73Y7FYuHYsWP+T63hKtA1Go1GKioq2LFjB1VVVVRWVgY8J9zM5RphcT1HCHydWVlZ/k+qdrsdh8Ox5J7lTNc49ffF9CwDmek+BPtZSrKYBzabDbPZ7P/60KFDlJWVUV5ezquvvhrCyObPb3/7W/8P21L1xWtcagJRTtMAAAGbSURBVM+xsrKSoaEhnE7nkviFOZN7XeNSe5ahIMniPmZb5LCqqgqTyQT4mod3/0IN9x/KQNd44sQJysvLMZlMnD59mlOnTj1Q8cdQmMs1LrbnCLP7/3rkyBHsdjtGoxGz2bzkniV8+RoX47MMZKb7EOxnKcniPmZb5PDumvI6nc7fN2qz2XjqqaeCH+gDmM013t20raioWHTFH+dyjYvtOULg67Tb7bz66quYTCYsFov/0/ZSepYzXeNifJaBzHQfgv0sZersfaSlpdHR0YHT6eTjjz/mBz/4AVqtlp07d/Lcc8/5X1ddXe3v5zYajVRXV9PR0UF9fT2vvPJKqMKflUDXaDab+c///E/cbjcWi4WvfvWrrFu3bsZzwtVcrnHqE+lieY4Q+Dr1ej09PT04nU6cTicVFRX3PCdczeUaF9vP5JTq6mpOnTrF2NgYWVlZ6PV6/3XOdB+MRmNQn6UUEhRCCBGQdEMJIYQISJKFEEKIgCRZCCGECEiShRBCiIAkWQghhAhIkoUQQoiAJFkIIYQISJKFEEKIgP5/HSd4hLsznDYAAAAASUVORK5CYII=\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#ucovid.siraicov(betaimax=0.5)" + "interact(ucovid.bipersiraicov,betaS=widgets.FloatSlider(min=0.1, max=0.5, step=0.05, value=0.25, continuous_update=False),nbpts=fixed(50),\n", + " gammaA=widgets.FloatSlider(min=0.01, max=0.25, step=0.01, value=0.1, continuous_update=False),\n", + " gammaS=widgets.FloatSlider(min=0.01, max=0.25, step=0.01, value=0.05, continuous_update=False),\n", + " piS=widgets.FloatSlider(min=0.05, max=0.95, step=0.05, value=0.15, continuous_update=False),\n", + " T1=widgets.IntSlider(min=1, max=10, step=1, value=7, continuous_update=False),\n", + " T2=widgets.IntSlider(min=10, max=400, step=10, value=10, continuous_update=False))" ] }, { diff --git a/ucovid.py b/ucovid.py index f07fae2..52d2059 100644 --- a/ucovid.py +++ b/ucovid.py @@ -16,7 +16,7 @@ font = {'family' : 'normal', 'size' : 22} plt.rc('font', **font) -plt.rc('text', usetex=True) +#plt.rc('text', usetex=True) plt.rc('xtick',labelsize=22) plt.rc('ytick',labelsize=22) @@ -71,6 +71,14 @@ dtt=np.linspace(-2*T,3*T,400) g=periodise(f,T) #plt.plot(dtt,[g(s) for s in dtt]) +def lamat(betaA,betaS,piS,gammaA,gammaS): + return np.array([[piS*betaS-gammaS,piS*betaS],[(1-piS)*betaA,(1-piS)*betaA-gammaA]]) + +def lesabcissesspec(betaA,betaS,piS,gammaA,gammaS,cbeta): + azero=lamat(betaA,betaS,piS,gammaA,gammaS) + azcbeta=lamat(betaA*(1-cbeta),betaS*(1-cbeta),piS,gammaA,gammaS) + return(spectralabc(azero),spectralabc(azcbeta)) + def matcroissance(betaa,betai,pii,gammai,gammaa): def a(t): return np.array([[pii*betai(t) -gammai,pii*betaa(t)], @@ -161,18 +169,18 @@ def siraipcbeta(T=1,nbpts=50): #ecrivns une fonction que nous rendrons interactive -def siraicov(betaamax=0.25, - betaimax=0.25, - pii=0.15,gammaa=0.1,gammai=0.05,T=7,nbpts=50): +def siraicov(betaA=0.25, + betaS=0.25, + piS=0.15,gammaA=0.1,gammaS=0.05,T=7,nbpts=50): ctt=np.linspace(0,1,nbpts) l=[] for cbeta in ctt: def lrsp(p): - betaa=tauxcontacper(betaamax,p,cbeta,T) - betai=tauxcontacper(betaimax,p,cbeta,T) - a=matcroissance(betaa,betai,pii,gammai,gammaa) - phiT=np.dot(expm(a(0.01*T)*p*T),expm(a(0.99*T)*(1-p)*T)) + fbetaA=tauxcontacper(betaA,p,cbeta,T) + fbetaS=tauxcontacper(betaS,p,cbeta,T) + a=matcroissance(fbetaA,fbetaS,piS,gammaS,gammaA) + phiT=np.dot(expm(a(0.99*T)*(1-p)*T),expm(a(0.01*T)*p*T)) return((np.log(spectralrad(phiT)))/T) if (lrsp(0)*lrsp(1)<0): p=brentq(lrsp,0,1) @@ -181,8 +189,85 @@ def siraicov(betaamax=0.25, f,ax=plt.subplots(1,1) axc=ax - axc.set_xlabel(r"cbeta : efficiency of social distancing") + axc.set_xlabel(r"$c_\beta$ : efficiency of social distancing") axc.set_ylabel("p : proportion of freedom (no social distancing)") axc.plot(utt,[ualon(i,rzero) for i in utt]) axc.plot(l[:,0],l[:,1]) + + +def bsiraicov(betaA=0.25, + betaS=0.25, + piS=0.15,gammaA=0.1,gammaS=0.05,T=7,nbpts=50): + + ctt=np.linspace(0,1,nbpts) + l=[] + la=[] + for cbeta in ctt: + def lrsp(p): + fbetaA=tauxcontacper(betaA,p,cbeta,T) + fbetaS=tauxcontacper(betaS,p,cbeta,T) + a=matcroissance(fbetaA,fbetaS,piS,gammaS,gammaA) + phiT=np.dot(expm(a(0.99*T)*(1-p)*T),expm(a(0.01*T)*p*T)) + return((np.log(spectralrad(phiT)))/T) + if (lrsp(0)*lrsp(1)<0): + p=brentq(lrsp,0,1) + l.append([cbeta,p]) + saz,sazcb=lesabcissesspec(betaA,betaS,piS,gammaA,gammaS,cbeta) + #print("saz,sazcb",saz,sazcb) + if (sazcb<0.0): + #print("\t :saz,sazcb",saz,sazcb) + la.append([cbeta,sazcb/(sazcb-saz)]) + l=np.array(l) + la=np.array(la) + #print("l-la",l-la) + f,ax=plt.subplots(1,1) + axc=ax + axc.set_xlabel(r"$c_\beta$ : efficiency of social distancing") + axc.set_ylabel("p : proportion of freedom (no social distancing)") + axc.plot(utt,[ualon(i,rzero) for i in utt],label="Ualon") + axc.plot(l[:,0],l[:,1],label="true critical line") + axc.plot(la[:,0],la[:,1],label="approximate critical line") + axc.legend(loc='upper left') + axc.set_title("T="+str(T)) + + +#jeudi 2 avril 2020 : il faut que je verifie mon theoreme sur les abcisses spectrales +A=lamat(betaamax,betaimax,pii,gammaa,gammai) +B=lamat(betaamax*(1-cbeta),betaimax*(1-cbeta),pii,gammaa,gammai) +[np.log(spectralrad(np.dot(expm(B*(1-p)*T),expm(A*p*T))))/T for T in 10*np.arange(1,40)] +spectralabc(A)*p + spectralabc(B)*(1-p)#pas la meme quantite +spectralabc(A)-np.log(spectralrad(expm(A)))#la cela coincide +#il faut prendre T del 'orde de 400 pour que cela se rapproche!!! + + +#on trace maintenant avec deux périodes pour en voir l'influence +def bipersiraicov(betaA=0.25, + betaS=0.25, + piS=0.15,gammaA=0.1,gammaS=0.05,T1=7,T2=100,nbpts=50): + + ctt=np.linspace(0,1,nbpts) + l=[[],[]] + for i, T in enumerate((T1,T2)): + for cbeta in ctt: + def lrsp(p): + fbetaA=tauxcontacper(betaA,p,cbeta,T) + fbetaS=tauxcontacper(betaS,p,cbeta,T) + a=matcroissance(fbetaA,fbetaS,piS,gammaS,gammaA) + phiT=np.dot(expm(a(0.99*T)*(1-p)*T),expm(a(0.01*T)*p*T)) + return((np.log(spectralrad(phiT)))/T) + if (lrsp(0)*lrsp(1)<0): + p=brentq(lrsp,0,1) + l[i].append([cbeta,p]) + l=np.array(l) + + f,ax=plt.subplots(1,1) + axc=ax + axc.set_xlabel(r"$c_\beta$ : efficiency of social distancing") + axc.set_ylabel("p : proportion of freedom (no social distancing)") + axc.plot(utt,[ualon(i,rzero) for i in utt],label="U Alon") + axc.plot(l[0][:,0],l[0][:,1],label="T="+str(T1)) + axc.plot(l[1][:,0],l[1][:,1],label="T="+str(T2)) + axc.legend(loc='upper left') + axc.set_title(r"critical curves : $p(c_\beta)$") +