Thread: Help with some degree standard Calculus

1. Help with some degree standard Calculus

I've been given the Lotka-Volterra system of differential equations

dW/dt= αW−βV,
dV/dt= −γV+δW

and the question is as follows:

a) Suppose we have two species interacting on the same environment. After observations we find that the size of their population obey the above set of differential equations where α,β,γ,δ are positive constants.

Determine what variables represents the predators and what variables represent the prey and WHY

b) Solve the system by proposing
W (t) = A sin(ωt) + B cos(ωt)

V (t) = C sin(ωt) + D cos(ωt).

Find the value of the constants A,B,C,D in terms of the parameters α,β,γ,δ ω

• 2 hours ago
• - 4 days left to answer.

There obviously must be a relationship between the equations given in part b) with the main dW/dt dV/dt equations above but how would you answer these questions?

Thanks,

Charlotte

2. Re: Help with some degree standard Calculus

Its not exactly the Lotka-Volterra system of equations but it is very similar