This is highly experimental, and currently works only for simple System Dynamics models (no arrays, functions, sketch graphs, tabulated lookups, etc!).

To run the model, simply click the Run button in the Run Control dialogue window. You can them move sliders for the stocks and parameters, and observe the effect on model behaviour.

Equations

{UTF-8} predator birth fraction= 0.01 ~ [0,0.05,0.001] ~ | predator births= (predator birth fraction*Prey Population)*Predator Population ~ ~ | predator death proportionality constant= 1 ~ [0,2,0.01] ~ | predator deaths= predator death proportionality constant*Predator Population ~ ~ | Predator Population= INTEG ( predator births-predator deaths, 15) ~ ~ | prey birth fraction= 1 ~ [0,5,0.1] ~ | prey births= prey birth fraction*Prey Population ~ ~ | prey death proportionality constant= 0.035 ~ [0,0.05,0.001] ~ | prey deaths= (prey death proportionality constant*Predator Population)*Prey Population ~ ~ | Prey Population= INTEG ( prey births-prey deaths, 100) ~ ~ | ******************************************************** .Control ********************************************************~ Simulation Control Parameters | FINAL TIME = 12 ~ seasons ~ The final time for the simulation. | INITIAL TIME = 0 ~ seasons ~ The initial time for the simulation. | SAVEPER = TIME STEP ~ seasons [0,?] ~ The frequency with which output is stored. | TIME STEP = 0.03125 ~ seasons [0.001,0.04,0.001] ~ The time step for the simulation. | \\\---/// Sketch information - do not modify anything except names V300 Do not put anything below this section - it will be ignored *View 1 $192-192-192,0,Times New Roman|12||0-0-0|0-0-0|0-0-255|-1--1--1|-1--1--1|96,96,5,0 10,1,Prey Population,543,99,53,27,3,3,0,0,0,0,0,0 10,2,Predator Population,539,395,53,27,3,3,0,0,0,0,0,0 12,3,48,140,97,10,8,0,3,0,0,-1,0,0,0 1,4,6,1,4,0,0,22,0,0,0,-1--1--1,,1|(409,99)| 1,5,6,3,100,0,0,22,0,0,0,-1--1--1,,1|(231,99)| 11,6,48,321,99,8,11,34,3,0,0,1,0,0,0 10,7,prey births,321,125,45,15,40,3,0,0,-1,0,0,0 12,8,48,888,101,10,8,0,3,0,0,-1,0,0,0 1,9,11,8,4,0,0,22,0,0,0,-1--1--1,,1|(810,101)| 1,10,11,1,100,0,0,22,0,0,0,-1--1--1,,1|(661,101)| 11,11,48,735,101,8,11,34,3,0,0,1,0,0,0 10,12,prey deaths,735,126,49,15,40,3,0,0,-1,0,0,0 12,13,48,148,394,10,8,0,3,0,0,-1,0,0,0 1,14,16,2,4,0,0,22,0,0,0,-1--1--1,,1|(408,394)| 1,15,16,13,100,0,0,22,0,0,0,-1--1--1,,1|(236,394)| 11,16,48,323,394,8,11,34,3,0,0,1,0,0,0 10,17,predator births,323,419,63,15,40,3,0,0,-1,0,0,0 12,18,48,884,394,10,8,0,3,0,0,-1,0,0,0 1,19,21,18,4,0,0,22,0,0,0,-1--1--1,,1|(806,394)| 1,20,21,2,100,0,0,22,0,0,0,-1--1--1,,1|(657,394)| 11,21,48,731,394,8,11,34,3,0,0,1,0,0,0 10,22,predator deaths,731,419,67,15,40,3,0,0,-1,0,0,0 10,23,prey birth fraction,185,239,75,15,8,3,0,0,0,0,0,0 10,24,predator birth fraction,185,570,88,27,8,3,0,0,0,0,0,0 10,25,prey death proportionality constant,832,242,100,25,8,3,0,0,0,0,0,0 10,26,predator death proportionality constant,844,565,101,37,8,3,0,0,0,0,0,0 1,27,23,7,0,0,0,0,0,64,0,-1--1--1,,1|(247,186)| 1,28,1,7,1,0,0,0,0,64,0,-1--1--1,,1|(432,135)| 1,29,1,17,1,0,0,0,0,64,0,-1--1--1,,1|(401,237)| 1,30,1,12,1,0,0,0,0,64,0,-1--1--1,,1|(628,146)| 1,31,25,12,0,0,0,0,0,64,0,-1--1--1,,1|(784,184)| 1,32,2,12,1,0,0,0,0,64,0,-1--1--1,,1|(672,285)| 1,33,26,22,0,0,0,0,0,64,0,-1--1--1,,1|(783,486)| 1,34,2,22,1,0,0,0,0,64,0,-1--1--1,,1|(620,455)| 1,35,2,17,1,0,0,0,0,64,0,-1--1--1,,1|(447,454)| 1,36,24,17,0,0,0,0,0,64,0,-1--1--1,,1|(254,493)| 12,37,0,297,38,48,11,8,4,0,0,-1,0,0,0 Predator-Prey 12,38,0,656,145,48,19,8,4,0,0,-1,0,0,0 Predator-prey simulation 12,39,0,1325,214,200,200,3,44,0,0,1,0,0,0 Population 12,40,0,1327,651,200,200,3,44,0,0,1,0,0,0 Phases 10,41,TIME STEP,494,704,50,11,8,2,0,3,-1,0,0,0,128-128-128,0-0-0,|0||128-128-128 ///---\\\ :GRAPH Population :TITLE Population :X-AXIS Time :SCALE :VAR Predator Population :Y-MIN 0 :Y-MAX 200 :LINE-WIDTH 2 :VAR Prey Population :Y-MIN 0 :Y-MAX 200 :LINE-WIDTH 2 :GRAPH Phases :TITLE Phases :X-AXIS Prey Population :SCALE :VAR Predator Population :Y-MIN 0 :Y-MAX 200 :LINE-WIDTH 2 :L<%^E!@ 1:Current.vdf 9:Current 23:0 15:0,0,0,0,0,0 19:5,0 27:2, 34:0, 4:Time 5:predator birth fraction 24:0 25:12.012 26:12.012

<?xml version="1.0" encoding="utf-8" ?> <xmile version="1.0" level="3" xmlns="http://www.systemdynamics.org/XMILE" xmlns:isee="http://iseesystems.com/XMILE"> <header> <smile version="1.0"> <uses_arrays>1</uses_arrays> </smile> <name>Predator Prey Dynamics</name> <uuid>be75d15c-2d09-4cd8-84cb-fdc59b71fe05</uuid> <vendor>isee systems</vendor> <product version="10.0.2" lang="en">iThink</product> </header> <sim_specs time_units="Years"> <start>0</start> <stop>60</stop> <dt>0.125</dt> <method>RK4</method> </sim_specs> <dimensions> <dim name="Subscript_Set_1" size="1" /> </dimensions> <model_units /> <isee:prefs layer="interface" grid_width="14" grid_height="14" divide_by_zero_alert="true" show_module_prefix="true" hide_transparent_buttons="true"> <isee:window width="827" height="557" /> <isee:security /> <isee:print_setup width="586" height="767" orientation="portrait" /> </isee:prefs> <isee:equation_prefs order_by="sector" /> <model> <aux name="area"> <doc>The area of the ecosystem is defined as 1000 hectares.</doc> <eqn>1E3</eqn> <display x="209" y="248" color="black" /> </aux> <flow name="hare_births"> <doc>A compounding process is used to depict hare births. The births flow is defined as the product of Hares and their natality. This process works just like compounding interest in a savings account.</doc> <eqn>Hares*hare_birth__fraction</eqn> <non_negative /> <display x="226" y="150" color="#7F00FF"> <label_side>top</label_side> <pts> <pt x="135" y="150" /> <pt x="318" y="150" /> </pts> </display> </flow> <flow name="hare_deaths"> <doc>In this external resource process, lynx are the resource underwriting the consumption of hares. Each lynx has a productivity, given by hare kills per lynx.</doc> <eqn>Lynx*hares_killed__per_lynx</eqn> <non_negative /> <display x="482" y="149" color="#7F00FF"> <label_side>top</label_side> <pts> <pt x="362" y="149" /> <pt x="602" y="149" /> </pts> </display> </flow> <aux name="hare_\ndensity"> <doc>This equation calculates the average density of hares in the ecosystem.</doc> <eqn>Hares/area</eqn> <display x="310" y="242" color="#7F00FF"> <label_side>right</label_side> <label_angle>61</label_angle> </display> </aux> <aux name="hare_birth_\nfraction"> <doc>Each hare in the ecosystem is assumed to produce 1.25 offspring (on average) per year.</doc> <eqn>1.25</eqn> <display x="172" y="208" color="#7F00FF"> <label_side>left</label_side> <label_angle>168</label_angle> </display> </aux> <flow name="lynx\n_births"> <doc>A compounding process is used to depict lynx births. The births flow is defined as the product of lynx and their natality. This process works just like compounding interest in a savings account.</doc> <eqn>Lynx*lynx_birth__fraction</eqn> <non_negative /> <display x="525" y="341" color="red"> <label_side>right</label_side> <label_angle>62</label_angle> <pts> <pt x="607" y="341" /> <pt x="444" y="341" /> </pts> </display> </flow> <flow name="lynx_\ndeaths"> <doc>This is a draining process. Some fraction of the lynx population will die each year. The portion that dies, in turn, depends on the density of hares in the ecosystem.</doc> <eqn>Lynx*lynx_death__fraction</eqn> <non_negative /> <display x="341" y="342" color="red"> <label_side>top</label_side> <label_angle>128</label_angle> <pts> <pt x="400" y="342" /> <pt x="282" y="342" /> </pts> </display> </flow> <aux name="lynx_birth_\nfraction"> <doc>On average, each lynx will generate .25 offspring per year.</doc> <eqn>.25</eqn> <display x="580" y="378" color="red" /> </aux> <stock name="Hares"> <doc>Initially, there are 50000 hares in the ecosystem.</doc> <eqn>5E4</eqn> <inflow>hare_births</inflow> <outflow>hare_deaths</outflow> <display x="340" y="151" color="#7F00FF"> <label_side>center</label_side> </display> </stock>  <stock name="Lynx"> <doc>Initially, there are 1250 lynx.</doc> <eqn>1250</eqn> <inflow>lynx__births</inflow> <outflow>lynx__deaths</outflow> <outflow>one_time_lynx_harvest</outflow> <display x="422" y="338" color="red"> <label_side>center</label_side> </display> </stock> <aux name="hares_killed\n_per_lynx"> <doc>The number of hares killed per lynx (per year) increases with the density of hares in the ecosystem. Note that when density is 0 (there are no hares), kills per lynx per year must be 0.</doc> <eqn>hare__density</eqn> <gf discrete="false"> <xpts>0,50,100,150,200,250,300,350,400,450,500</xpts> <ypts>3.8899999999999998e-305,50,100,150,200,250,300,350,400,450,500</ypts> <xscale min="0" max="500" /> <yscale min="0" max="1000" /> </gf> <display x="412" y="251" color="red"> <label_angle>323</label_angle> </display> </aux> <aux name="lynx_death_\nfraction"> <doc>Lynx mortality -- the fraction of the lynx population that dies each year, is assumed to depend on hare density. With fewer hares, a greater fraction of the lynx population will starve.</doc> <eqn>hare__density</eqn> <gf discrete="false"> <xpts>0,10,20,30,40,50,60,70,80,90,100</xpts> <ypts>0.94000000000000006,0.66000000000000003,0.40000000000000002,0.34999999999999998,0.29999999999999999,0.25,0.20000000000000001,0.14999999999999999,0.10000000000000001,0.070000000000000007,0.050000000000000003</ypts> <xscale min="0" max="100" /> <yscale min="0" max="1" /> </gf> <display x="223" y="320" color="red"> <label_side>left</label_side> <label_angle>225</label_angle> </display> </aux> <flow name="one_time_lynx_harvest"> <doc>This test input uses a PULSE function to remove some number of Lynx from the system at time 4. This harvesting effectively knocks the system out of steady state, thus enabiling its latent dynamics to unfold.</doc> <eqn>PULSE(size_of_1_time__lynx_harvest,4,1e3)</eqn> <non_negative /> <display x="352" y="409" color="red"> <label_angle>348</label_angle> <pts> <pt x="420" y="355" /> <pt x="420" y="409" /> <pt x="284" y="409" /> </pts> </display> </flow> <aux name="size_of_1_time_\nlynx_harvest"> <eqn>0</eqn> <display x="220" y="427" color="red"> <label_side>left</label_side> <label_angle>188</label_angle> </display> </aux> <display show_pages="false" page_width="586" page_height="767" page_sequence="row" page_rows="2" page_cols="1" isee:show_values_on_hover="true" isee:converter_size="medium" zoom="100" report_flows="summed" scroll_x="0" scroll_y="0"> <connector x="318" y="162" uid="0" color="#7F00FF"> <from>Hares</from> <to>hare_births</to> </connector> <connector x="176" y="200" uid="1" color="#7F00FF"> <from>hare_birth__fraction</from> <to>hare_births</to> </connector> <connector 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Import a model from other modelling software

Equations