teaching material

exercises/LotkaVolterra.mo

+model LotkaVolterra "This is the typical equation-oriented model"
+  parameter Real alpha=0.1 "Reproduction rate of prey";
+  parameter Real beta=0.02 "Mortality rate of predator per prey";
+  parameter Real gamma=0.4 "Mortality rate of predator";
+  parameter Real delta=0.02 "Reproduction rate of predator per prey";
+  parameter Real prey_pop_init=10 "Initial prey population";
+  parameter Real pred_pop_init=10 "Initial predator population";
+  Real prey_pop(start=prey_pop_init) "Prey population";
+  Real pred_pop(start=pred_pop_init) "Predator population";
+initial equation
+  prey_pop = prey_pop_init;
+  pred_pop = pred_pop_init;
+equation
+  der(prey_pop) = prey_pop*(alpha-beta*pred_pop);
+  der(pred_pop) = pred_pop*(delta*prey_pop-gamma);
+end LotkaVolterra ;
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