Predator-Prey Interaction (Lotka-Volterra)
This example has been taken from the PowerDEVS software.
The Lotka-Volterra equations describe an ecological predator-prey (or parasite-host) model which assumes that, for a set of fixed positive constants A (the growth rate of prey), B (the rate at which predators destroy prey), C (the death rate of predators), and D (the rate at which predators increase by consuming prey), the following conditions hold.
- A prey population x increases at a rate dx=A*x*dt (proportional to the number of prey) but is simultaneously destroyed by predators at a rate dx=-B*x*y*dt (proportional to the product of the numbers of prey and predators).
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A predator population y decreases at a rate dy=-C*y*dt (proportional to the number of predators), but increases at a rate dy=D*x*y*dt (again proportional to the product of the numbers of prey and predators).
This gives the coupled differential equations:
dx/dt=A*x-B*x*y
dy/dt=-C*y+D*x*y
Reference: http://mathworld.wolfram.com/Lotka-VolterraEquations.html
The current ModelicaDEVS predator-prey model features the following parameters: A=B=C=D=0.1
Output:
The output variable Prey represents the behaviour of the prey population, the variable Predators shows the trajectory of the predator polutation.
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