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I have to write a program for the Lotka-Volterra model. When I researched this model online most websites gave me the following ODE's:

dx/dt = a*x - b*x*y

dy/dt = e*b*x*y - c*y

However, my book gives me the following ODE's:

dx/dt = (a - bx - cy)x

dy/dt = (-d+ex)y

and states that x reperesents the number of hares and y represents the number of foxes..

is there anyway some could help me describe the physical meaning of the parameters my book gave me?

I think...

a = the coefficent for the increase in the rabbit population due to resources

b = the natural death rate of rabbit not due to predators

c = the coefficent for the chance that the predator and prey will meet and the prey gets eaten

d = the natural death rate of predators without food

e = chance predator and prey will meet and prey gets eaten

please let me know what you think. thanks alot!

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# Lotka-Volterra model help

**Physics Forums | Science Articles, Homework Help, Discussion**