{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Phase plane analysis of the Lotka Volterra model with grind.R"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"#The very first time one needs to install the following packages (by uncommenting the next line once)\n",
"#install.packages(c(\"deSolve\", \"rootSolve\")\n",
"source(\"grind.R\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"model <- function(t, state, parms) {\n",
" with(as.list(c(state,parms)), {\n",
" \n",
" dR <- r*R*(1 - R/K) - a*R*N\n",
" dN <- c*a*R*N - delta*N\n",
" \n",
" return(list(c(dR, dN))) \n",
" }) \n",
"} \n",
"\n",
"p <- c(r=1,K=1,a=1,c=1,delta=0.5) # p is a named vector of parameters\n",
"s <- c(R=1,N=0.01) # s is the state"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\t- R
\n",
"\t\t- 0.499999999999577
\n",
"\t- N
\n",
"\t\t- 0.499999999990375
\n",
"
\n"
],
"text/latex": [
"\\begin{description*}\n",
"\\item[R] 0.499999999999577\n",
"\\item[N] 0.499999999990375\n",
"\\end{description*}\n"
],
"text/markdown": [
"R\n",
": 0.499999999999577N\n",
": 0.499999999990375\n",
"\n"
],
"text/plain": [
" R N \n",
"0.5 0.5 "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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C3rUM0hQIAAAQIECBAgsEaBC3Pc/0zc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\n6fP7EvV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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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dt38B8CBAgQIECAAAECQxSQIA0RW1M7F8glpJl8oOzpc9H/L/N7HJKrSV/bFpPP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\nf2D82iK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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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AJ2kCq/DewgVWbjMzUSsINUIzjfZgJN\nSmAOynUq0v+feQFthWwmkCYC/SjsHuhxpKjSw0j/n0vHbSaQVwJ2kCq3vB2kymx8pkYCdpBq\nBOfbTKDJCMxEeY5CWiXsDbQTakE2E0gzgR9R+L+hLwrSUvSKNNlMIG8E7CBVbnE7SJXZ+EyN\nBOwg1QjOt5lAkxDQMxyHoE/R+2hv1BvZTCBLBBQ9+jXS/1NSVOlBtAvS+99mAnkgYAepcivb\nQarMxmdqJGAHqUZwvs0EGkygD/nviz5EH6MDkf45p80Esk5AzyXp+To9p6Tnlf6KtCqezQSy\nTMAOUuXWtYNUmY3P1EjADlKN4HybCTSIgP5Fgp7H0PLc6iAeiWZENhPIGwGtdLcXehIpqvQA\n2hk5qgQEW+YIZN1BepEW0+e4WJ/x+imklS27MjtIXdHxuZoI2EGqCZtvMoGGEPgZub6EvkMn\nodmQzQRMYNL/UPoHIMKo0unsL2UwJpAhAnlwkG6jvdYpkqaM348mos1RJbODVImMj9dMwA5S\nzeh8owkkRmBDctIo+Vh0Lpob2UzABKYloKiSOlUaddZI9BC0E/L0UyDYUk0gDw7SBWVaSBFh\nTaUtdy68PFMOkqaJ2EzABEzABCoTWJ1T6uANRi+jH6IDkJ45spmACUxLQMvbX4RWRsujN5Ai\nS8PRaWhJZDMBE0gPgTEUVQsQtaanyPWV1Kss1cfPd5uACWSXwI+p2vFoC/QvtAx6HdlMwASq\nJ6D/A6aFTA5GWvFO+39EGnTQaPQtaCyymUAmCYwJ2n7aK+g4kcolFUFtJ2w7qC1ov6lGoNNx\nX/gMoQIp86OdkH4T/4BsJpAYgdXJifdzfjzzxMg6IxPoOQFFiK5Fmm99B1oB2UzABKIjoKiS\npip9jfQA+KloCWQzgWYn0OMpduOC1n+NC9o6EtadNYIst0iD+qeKHh3UTZqZmmLnCFI3re3T\nJmACuSGgf/KqpYp3R4+htdGjyGYCJhAtgedJbh+kDpdWg9T/VjoU6UHwS5BGvh1VAoIt/QQY\naRvUEnR8Q00SiyAx5n5OHeT+zb2KeOnfWOjZ2z+jY9HFyGYCiRJwBClR3M7MBMoSUMfsXbRJ\n2bM+aAImECeBFUn8fKSo0qdIK+D5WSUg2JqKQI8jSE1V+u4LowjSBSWXaSBDMyq2KTle+jJT\nEaTSyvl1YwjYQWoMd+dqAiGBjdiZgNYKD3hrAibQEAIzkutv0HNIU3vuQ9ujVmQzgUYTyKOD\n1AL0/6KvkJ5HqmSZcpD08JUtBwRGBsEM7UHbA8yBvX94EGgJVpsJmMAkAuqQacWt89Ajkw75\nb3wEOuai38ty6R23Ij0MbDOBYgLf8kIr3q2AVkLD0KXoI3QyGoBsJmACyRHQQMXeqA/6W3LZ\nOicTCILYI0jjgt4Dpzwg2HtNQzcBE5hMQF/47yCNftliJ9DxcxwjfnA75c5u7LwzkYGeD/wt\n0rNLmupzL+J95KgSDGzJEshjBCkk/Cd25CxtGx4o2WYqglRSN79sEIHYHaTRQe/1ihykdRpU\nT2drAs1GYG0KpKl1GzRbwbJbno4dixwkP2OS3YaOq2aKKl2CvkWfoJPQ4shmAkkQyLqDVA/D\nTDlInmJXz1shXfdqDqnNBExgCoF+7KqjpZV5/jvlsPdMwASamMDTlE2r3s2LBqHN0RvoHrQd\n0jQgmwmYgAnURcAOUl34fLMJmECKCRxP2eUkHZriOrjoJpBXAlo2+e9I/7xyVfQhuqKw1RLF\niyGbCZiACdREwA5STdh8kwmYQMoJqEOl/wi+L9KywjYTMIH0EniKou+J5kPHIUWV3kSDkZ6X\ncFQJCDYTMIHqCdhBqp6VrzQBE8gGAS0XrFWxrka1/rfxbJBwLUwgWwQ02HEeWh5pMaIR6J/o\nA3QCWhTZTMAETKBbAnaQukWUyQu0ConNBPJK4GgqPgc6KK8AXG8TyAGBodRxD6RnleQc/RS9\nhe5C26DeyGYCJmACZQnYQSqLxQdNwAQySkAjy1qqdD/0eUbr6GqZgAlMIaCo0rlIzyrpH0Fr\n5burkKJKmo63CLKZgAmYwFQE7CBNhcMvTMAEMkxAI8aXoZsLynBVXTUTMIEyBB7j2G5Izypp\nefCt0dtIU21/hhxVAoIt1wT07N4wpH+gXmoPceDC0oNZfW0HKast63qZgAmUEvgzBxZEB5Se\n8GsTMIFcEfiK2p6DlkNro8/QNeh9dCzqj2wmkFcCC1NxDSDk2uwg5br5XXkTyA2Bpanp/yE5\nR5piYzMBEzABEXgU/QopqnQK0vNJiirdgbZCjioBwZYrAiOpraaha6GT3JodpNw2vStuArkh\nMB011ap1d6Nrc1NrV9QETKAnBL7k4rPRsmgg0jOK1yFFlY5BGlW3mUAeCOj38jmkf6LelocK\nl6ujR0bKUfExEzCBLBE4iMosifT/UGwmYAIm0B2BR7hA+j3SM0t7oSORVsC7AOmZpQnIZgJV\nEOjQCor658VJORvt5DUoCFpuYluLjecmrQD5NDoKHYFyZ71zV2NX2ARMIE8EBlBZPVPwOzQ8\nTxV3XU3ABOom8AUpnFWQnlXaF92AFF26CGmkXREmmwl0RWB3TioymaT9msxqdZBUzpfQ8UgO\n0o3oeZQrs4OUq+Z2ZU0gVwRaqO0l6BGkjozNBEzABGol8DA3Sgeg3dFe6P+QokmKKim65KgS\nEGzTEBjEkW9QkhEkLUJSr51MApp5od/PVepNLG3320FKW4u5vCZgAtUS2J8LV0A/qvYGX2cC\nJmAC3RBQVOnMgtZhq6iSRthHoTCq9AH7NhMoEGh5mR1NWUubjaPAKvdT6I9pK3y95fUiDfUS\n9P0mYALNSCBcpvQwCvdeMxbQZTIBE0g9gYeowS5ofvRX9As0DN2GtkDTIZsJpJmAptadhI5G\nuVqoxBGkNL9tXXYTMIFKBDSS+yw6v9IFPp45An2o0ZzoBwXNXdjOw1YrlN2KXkE2E4iagJ5J\nkoMkrYv2QXr+41Ok7yJNUfoQ2UwgjQSOp9A/Q8umsfC1ltkOUq3kfJ8JmECzEtiLgq2FlkMd\nzVpIl6sqAjNylRweOTtydLQ/V2EbOkDh+dk5rufOZFrF6TP0MdL/9FgInYCGoVvQf5BG/8ch\nmwlESeABEpPmQLujvdFRSP9XSc8qDUYTkc0E0kJA36eaavdEWgocRTntIEVB0WmYgAk0CwFN\ndTkdaUnet5qlUC7HZAJMOXp85iCQ3yPf5ShNQ9oEhc5OuJXTI4eoLwrta3b0T351o7bSa4Vt\n8THt6zmRUluEA1sX9Du236I7kaZDqdP6FbKZQFQE9EzSGQWtx1ZRpZuR3rdhVOkj9m0m0EwE\nBlQozDMcz5XPEI62VeDhwwkRWJ18HkNtSJ565DY66L1+72C6/05KeMI6fYLxD0eeiRM0gcYT\nuJ0iKMKwBvIobTLt0Y9sQscm3IZRHW2L9zUFrvDsq35rO5iCNGEEO6UOTugAhce1HYuisllJ\nSM7ZVkgO2vToQSRnSe+hYchmAlETUFRpT6Qo92JI77UL0d3I31dASIGpvWZAu6SgrEkXUVw0\n8KTf36FJZx51frnyBqOGl7L0ip1hTztKWeO5uFUR2JWrNkIrInc2qkJW9iJ9V8yOyjk7pcf0\nWj+KoX3HTujUyMnR/jtTH7uClQU3Z2RdfcWWdZCiQEmbnkm6uqA+bNdFcpYORuegF9BtBWnk\n1N+ZQLDVTWAUKZxW0PpsFVXSlE9NAw2jSsPZt5mACTSYgB2kBjeAszcBE4iEgKIUZ6Fj0auR\npJitRNqoTnEkp9K+HB5F4JgK12lyNNWpK3Z6hvH6SRQ6QOFW14xG3divlHcz2TgKc29BB7D9\nMZKzJGmqpjqvobN0P/tjkM0E6iWg95KkqGoYVRrEvt5rilLcg/T5s5mACTSAgB2kBkB3liZg\nApET+Dspvo9OjTzl5k1wNoomZ6PY2SmN8ITnZymqhpwYOTWhY6Pt02WO6finKG+dNEWPpOPQ\nvCh0lm5iXyw0HUqd2DuRGNlMoB4Cn3HzqUiRJUWV9kW3ohFIjtLlyFElINhMIEkCdpCSpO28\nTMAE4iCwHYnq4fuV0fg4MmiyNNVhvwRp5Fmm6V+fI3XWJUVy1KF6vrAfHgu3miNuq46AOqkX\nFDQ9202Q3munIrXB40idWTlMjZgqSLa2jBDQ51jPCUuK4oZRpWPYD6NKinTmbcCCKttMwATy\nSmB1Kq4vx9a4ALBIwwbjgraOSeq9Vlz5OF0TSJjA7OSnKVDHJpxvI7LTszJnIDmBim4sjxTh\nSNlAV8eOfN3xfdepJSl/Gq0XhdaDyHKU5Bjp+/stdDpaG4VTFNm1mUDNBPQ84IboRtSO3kWH\nI33ubY0hoKienl+0TUtgBg7pu1B9WpsJREJAbya9qewgRYLTieSIwD+p68sots9Ok7BciHIM\nRYoOqcOUYsuEg1TKf3EO/BE9hOTA6rmtK5CimzMhmwnUS0DTZf+M5Ijrubl/oY2QnChbcgTs\nIFVmnSkHSaNgNhMwARNII4EtKPROaE+k0dWs2pZU7DmkxQEUNboP2ZqLQBg9WodiqSN7EFJn\n4TKkZ0zuQr9FCyKbCdRCQFNkT0YD0OaFBO5g+zaS4zRP4Zg3JmACJpAZAo4gZaYpXZGECGjR\ngQ+Rpjhl1XpTMdVPEYnjUUambWUygkTzlDVFNjdFf0fvI80UeAYdjVZANhOoh4AWZTkcyUlS\nVOlGtCFyVAkIMZkjSJXBZiqCVLmaPpMkgdgdpDFB7w2LnkFaM8nKOS8TiIHARaT5BuoXQ9rN\nkKQiDY8hjRpv3AwFiq4MuXKQSrGtyIFjkCKCcpY+QH9DWvyhDdlMoBYCcoj0PXETUjRdDtNh\nSA6ULVoCdpAq88yUg6QRSpsJmIAJpInABhRW0+rWRaNR1mwLKnQl0rNVmlI3HNmyQeBZqiEp\ngrQA0op4WpVQq5SpYzsYaVW8u9AoZDOBagjI2b6nIDlFv0b7ouPQLegCdD/Sdbb6CcxJEhrY\ntk1NIKsDllPX0q8SJeAIUqK4nVmKCWiE6l10borrUKnoGrA6BWlK3YloOpRBy3UEqVJ7zsSJ\n7dE/kZ5Z0nvgAXQw0jMnNhPoKQFFlRSZvBlp+t1b6E9Iz8jZaidwErfK0bQqM7DzWPv7y3eW\nELCDVALEL02gAgE5RnKQZqxwPq2HNaXuUaQpderUZNjsIHXTuHKMB6Iz0BtIHbFXkR7QXwP1\nQjYT6AkBLeBwBNJ3pyKV16P1kZ9VAkIN1so91rQMMjXFrob3hW+JgYAdpBigOsnMEViLGk1A\negg5S7Y5lVHU4CE0f5YqVr4udpDKc6l4dCnOHIbkQOv9Lyf6UvQzpA6JzQSqJSDnejP0b6So\n0pvoUDQXsplAvQTkNGpAxxGkekn6/skEknCQNipapEGjkDYTSBOBvhT2dXRRmgrdTVk1pU7T\nNTSdStuMTqmjZlOZHaSpcPTshTqyeyI9V/It0jN4/0H7oPmQzQSqJTAvFx6JhqGx6Dq0HnJU\nCQi2mgjYQaoJm2/qioAdpK7o+JwJBMFpQPgQaXnvLNgCVOIR9CnSMtA5MjtIETW2Bg1+ii5E\nw9FE9CQ6Ai2LbCZQDQFFlRTFltOtqNIb6I/IUSUg2HpEwA5Sj3D54moI2EGqhpKvySuBVai4\noizqDGbBNMVFjtHDaP4sVKhndbCD1DNeVV2tUX99To5HLyJNcxmGzkYboD7IZgLdEVAU8ij0\nHlJU6Rq0LrKZQDUE7CBVQ8nX9IhAEg7SxkVT7JSfzQTSQEBfuC+jf6ahsN2UUVPoTkRy9k5B\nmmKXQ7ODlECj9yeP36P7UDv6El2LdkKzIpsJdEVAUaUtkJac1/fV6+gQNCeymUAlAnaQKpHx\n8ZoJ2EGqGZ1vzDiB46jfSDR7yuupSNFDSIsxaDpLjs0OUsKNr2mpv0DXoC+QplH9F/0BLYps\nJtAVAX13HY3eR2PQ1WggsplAKQE7SKVEUvZ6NsrbHy2B9MGfATXaknCQNgkjSO1Bn9UaXWHn\nbwJVEPgx12j0e7sqrm3mSzahcJpSp1XIFmjmgiZTNjtIyXAum4uilppyp6l37yBNxXsJnYBW\nRX5AHwi2sgQUVdI059uRokqvoYPQHMhmAiJgBymF74MVKPPFSMuj6gehVG9z7ALUqIcS7SAB\n32YCRQTUkXsW3Vh0LG27mlKnZ0LUmTgV5XRKHTWfyuwgTYWjsS+0mMMR6AmkRR5GoAuROsL9\nkM0EyhHQQM8gFEaVrmJ/HWTLNwE7SClrfz1wGDpEevDwMaRlUbWk5V1IPwz6UdA1mv6yM0ra\nknCQNi2KIGmk0GYCzUzgLxROn8e5m7mQXZRtPs49iEYhzeW3TSZgB2kyiubamYfi7I0UIfi+\nIK1stidK6+eQottiJKBBoC2R+lQaCPofOhClfUo0VbDVQMAOUg3QGnXL9mQsx+cutGIXhdC0\nAo1+PIV0/RooSUvAQWrbrMhB0mpHNhNoVgJLUTDNdd+lWQvYTbk25ryi1RqMWbCba3N42g5S\nChp9esq4NboEfYwmIL2f/4yWRjYTKCWg77pj0AdI39//RGshW34I2EFKUVvrYcK3UVuVZdbz\nSV+jf1R5fVSXJeEgbV7kIK0cVcGdjglETEDz3IcijWKnzTSaehzSSOrpyFPqgDCt2UGalklT\nH9FnUr9RJ6FXkAYR30J/Resiv8+BYJtMQN+DW6E7kBzrV5EWBHFUCQgZNztIKWrglyir5sb2\nxB7h4qQ7Z0k4SFsUOUgr9QSIrzWBBAkcTF5aklgLqKTJ5qWwDyBNqdOUE1tFAnaQKqJJx4nF\nKKY+pw+gcehzpN/ZHdDMyGYCIYGF2DkWfYhGoyvRmsiWTQJ2kFLUrvdQVs2J7VNlmcMI0mlV\nXh/VZUk4SFsWOUgrRlVwp2MCERJYnLT07MNeEaaZRFIbkommISnypQ6BrUsCdpC6xJOuk/rN\n3BXdgL5C7ehutD/yZwEItk4CiippyuadSFElRSJ/j/T+sWWHgB2kFLWlnmHQdIDb0KpdlFvP\nIK2NtGCDpsckPcIRu4M0NmjdushBWp462kygmQjoM/ggureZCtVNWfSjrzn3+s44A1U7EMOl\neTY7SBltfXWONkbnofeQfnufQ/qM/AS1IJsJLAyC49BHSFGlK1DSz32TpS0GAnaQYoAaV5L6\nQj4IfYf0Za0w7+NIc2OvLWw16jsc6fw4pLmySVsSDtK2oYOEs7Rs0hV0fibQDYH9OP8N6t/N\ndc1yeh4Kcj/S9KKtmqVQ6SiHHaR0tFPdpdRA3FHoaTQR6ff3fLQZakO2fBPoTfV/hu5Ciiq9\njA5AsyJbOgnYQUphuy1KmeUQacRCjlCx5Dy9ifRQ9YKoEZaEg7RjkYO0ZCMq6TxNoAKBuTgu\n5+h3Fc432+ENKNBIpMGWhZutcM1fHjtIzd9GkZdwflL8DdIUK61w9i26Ce2G5kS2fBPoT/WP\nRxqs1jTry5H6RbZ0EbCDlK72mqa0eohUjtAANMs0ZxtzIHYHqT3os1voIBHT7t+YajpXEyhL\nYG+OjkC9yp5tnoMq3yCkKXVnoj7I1mMCdpB6jCxbN8xIdbZDmlr1KVL04GF0KFoC2fJLQFGl\nbdBgpPfFS0gDZ44qASEFZgcpBY2UtiLG7iDhHB0aOkhf+Msmbe+PrJf3dip4UZNXcm7K91/E\nx6dzWkiTF7eZi2cHqZlbJ+Gy6Tm+tZEWRnodaXaHtqeitZDO2/JJoD/VPgFp8EwzfS5DqyFb\n8xKwg9S8bdNUJfshpVmmSu3Mdfph0JsrFsM5uqfgIH3EckP+0YmFshOtgcD03KMpFVvWcG9S\nt6xPRvqRfhL1R7a6CNhBqgtftm9WBEmRJEWUFKlVhOlytC1S5MmWPwKKKinieDfSs2wvoP1R\ns8wAoii2AgE7SBl+K/yWuunDp7nS9dji3KwPspyenqhvPZl2dW970Hr5JAepdSL7j38TBHru\nw2YCjSawNQXQ6GC/RhekTP6aUqeHzNVROwvFNoBB2jkyO0g5aux6qqpnk3ZDelaJn6zOZ5f0\nDJN+n/VMky1/BBahyiehkUi/G5egVZGtOQjYQWqOdoilFINIVQ7N0RGkrtENfcFXowO5TvnO\ngGKxQTzfgWP0VjjNrj1oe5cnZReLJTMnagLVE9AP3C3VX57YlZpSdx/SlDrNibdFRsAOUmQo\n85NQG1XV6nfnow+Rfi+fRhrAWB7Z8kVAz3/+HOl/XWow+nm0H9Iz5rbGEbCD1Dj2seesTtFy\nSNskbW8yi9VBGsUXR+gcTdm2fsbiDaskWdEG5SUnVR3xzwq6mK2O2RpLQBGaj9GeMRejp+2/\nLuXRlLqnkEYsbZESSNxB6mn7R1pbJxY5gRZSXAkdi9Qx1m/ne+g8tDEqjfSq/fWd7+9/IGTQ\nFqVOJyP9lnyL1NbF/Rq3P0ASMjtICYHOUzaxO0ijWY44dIyIJD0d7o8LWr8bE7T9NMOwNXVL\ny7iPRfohlbSvYzpnaxyB1cl6AopzQKIn7S+H7f/QeHQOKu1occhWP4FEHaSetH/9VXMKjSCw\nEJn+DimaoO/2r9D1aBc0L/L3PxByYIoqbY/uQ4oqPYcOQG8hvS/8+w+EmM0OUsyA85h87A4S\n/xx2ydApYv8XRI72xjkaP+lY6zhe75VR8JqvXvzlWPwlqXO2xhHQqN9jMWdfbfv/gHKog/Ul\n0gPhttgIJOogVdv+sdXWCSdKQFOsdkBXoc+RBjs0CBN+74db/Sb4+x8IGTU9PnAKkrMsZyls\n93Dr9gdKDJYpB6l3DICcZHMS0OhKaONag3EXETkaMV3QwaJ2Lf1agpaLcJjm6xO0a9pClkzz\n08ut2qdjOmdrHIGtyPrKmLOvpv1npQzPoI/RiugdZGseAvrRnakLzdjFuWU5V/zdx8tO8+c/\nJJGt7ddUh9+0Tql/cxMqN0PC7Q+YDNvb1O0wNBv6NdK0zGJz+xfT8H5ZAnaQymLJ3sGWoIMv\nhMnfERpVC/oGY/9D5Gg9jt7BuTnQMSzeMN8twdj9GYLTqFsWbCSVUH31hVhsOqZztsYQWJxs\nl0K3xZx9Ne3/F8rQjtZEGlm01UdADkno0JRxXrYdGAQrc4kWJrvyCP7osxheX25bzsFReymB\nUukZBB37sLBlE5DfNE6SP/8ik21TG2ua1SZIizwUm9u/mEZ294dTtXHI7Z/dNo6tZpN7zLHl\n0NiE9yZ7hdx7apr2M7SnN9Vxvcp5IVJnQktXRm44Qiu2BL2eUcJ4PlvhHN0eZkIk6Yc8fDGY\nN8Mik4513DoyaN9pwSDg0aXU26LU4H9Inazw/a4wu7401UF3tAAIDbCDyVOrDslRitO6a391\nlF5HuyGNPOfRNFBWxpHpdFoqHQ8dmXLnSzsjYqrPmxwXHJhZ+RwuydeLknj6HhYKHFE4Vzg/\njdOj46HkAClKoPSqse7a35//aiim9xq3f3rbLoqSu/2joFh9Gor2a5BxDZRkH7r6EvbgSv0w\nZtnUAatlGtUg7kt945Y0bK+i15qTO9lwlt7AK1uzT9B6B1PtVsCP2HruoPW+r4L2LVmrXPO4\n02zqAG2NrkYKt8u+QLsgd45EozGm6XVxR49UM7XxHugqJMdYVtz+/+T1iyiLzpGexVgdhc5M\nua0cnH6o1OQ4htGY0DkpdmA+4fzbqPhc8fnS40WRuS925L7rkOwPfN+8Nmk3lr/+/MeCNTWJ\nuv1T01SxFNTtHwvWfCSadQdpM5rxZqROwq3oUlSNvV7NRSm7Joy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kZwep0MhEjvZjGfAJkxyl1nacpl0jbH85SMdHmJ6TmpZAC4eGo32m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oMUEcjSZHpzQIMQ/0Hjkd5Hh6P5kM0ERGAFdBUai15H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\ntTdHxVNxmp/A5jlOd1nyOsh26ZfiKZDFhpHJL1AH3qn9g5Ub0o2S5SZsfw7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9XosyVT0wnL0OAKaumqsTO+NHGiZx3qxsOTBaaZLUbBs8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\nTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"run() # run the model and make a timeplot\n",
"plane() # make a phase plane with nullclines\n",
"plane(tstep=0.5,portrait=T,eps=-.001) # make a phase portrait and include axes"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\t- R
\n",
"\t\t- 0.49999999999826
\n",
"\t- N
\n",
"\t\t- 0.333333333334894
\n",
"
\n"
],
"text/latex": [
"\\begin{description*}\n",
"\\item[R] 0.49999999999826\n",
"\\item[N] 0.333333333334894\n",
"\\end{description*}\n"
],
"text/markdown": [
"R\n",
": 0.49999999999826N\n",
": 0.333333333334894\n",
"\n"
],
"text/plain": [
" R N \n",
"0.5000000 0.3333333 "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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SmvEZv7H5v65WZS+zDm0o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\ngd0CDyq1nZNukhGlAAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plane(eps=-.001) # make a clean phase plane again\n",
"p[\"K\"] <- 0.75 # change the parameter K from 1 to 0.75\n",
"plane(add=T) # add the new nullclines \n",
"s[\"R\"] <- 0.1 # change the initial state to (R=0.1,N=0.01)\n",
"run(traject=T) # run the model and plot a trajecory"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" R N \n",
"0.5000000 0.3333333 \n",
"Stable point, eigenvalues: -0.3333333+0.2357022i -0.3333333-0.2357022i \n"
]
},
{
"data": {
"text/html": [
"\n",
"\t- R
\n",
"\t\t- 0.5
\n",
"\t- N
\n",
"\t\t- 0.333333334170793
\n",
"
\n"
],
"text/latex": [
"\\begin{description*}\n",
"\\item[R] 0.5\n",
"\\item[N] 0.333333334170793\n",
"\\end{description*}\n"
],
"text/markdown": [
"R\n",
": 0.5N\n",
": 0.333333334170793\n",
"\n"
],
"text/plain": [
" R N \n",
"0.5000000 0.3333333 "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" R N \n",
"0.5000000 0.3333333 \n",
"Stable point, eigenvalues: -0.3333333+0.2357022i -0.3333333-0.2357022i \n",
"Bifurcation at K = 0.5 \n",
"diagonal element is zero \n",
"[1] 2\n",
"Final point at K = 0.496988 "
]
},
{
"data": {
"image/png": 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hIgQIAAAQIECBAgMFBAgjSQx04CBAgQ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\nCBAgQIAAAQIECBAgQIAAgXoL/D/Kzs4ECp9VGwAAAABJRU5ErkJggg==",
"text/plain": [
"Plot with title \"\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"newton(c(R=0.5,N=0.5)) # find a steady state around (R=0.5,N=0.5)\n",
"f <- newton(c(R=0.5,N=0.5)) # store this steady state in f\n",
"continue(f,x=\"K\",xmax=2,y=\"N\") # continue this steady state while varying K"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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AECzRNQIDVvTFfTozJlo40AAQIECBAg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",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p[\"K\"] <- 0.5 # set K to the value at which N goes extinct \n",
"plane(eps=-0.001,vector=T) # make a phase plane for this value of K"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "ir"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.3.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}