(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The following set of nonlinear Ordinary Differential equations is known as the Lotka-Volterra modek:

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

dy/dt = (-d+ex)y

where a,b,c,d,e are positive constants. These equations model a simple eco system of preator and pray. the x is hares and y is foxes in a forest. Describe the physical meaning of the number of hares and foxes in a forest.

a = 10, b = 10^-5, c =.1, d = 10, e =.1

2. Relevant equations

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

dy/dt = (-d+ex)y

3. The attempt at a solution

I think...

a = the coefficient for the increase in the mice population due to resources

b = the natural death coefficient rate of mice not due to predators

c = the coefficient for the the amount of mice get eatean based on population size

d = the coefficient for the natural deaths based on predator population

e = coefficient for the effect of amount of predators vs prey

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# Homework Help: Lotka-Volterra model, nonlinear Ordinary Differential equations

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