# Thread: Predator-prey system

1. ## Predator-prey system

Hello,
I have to solve the following task with predator-prey method.

The dynamics of self-regulating "predator-prey" populations in the population is described by the model:
dN1/dt = (a - bN2 - αN1); dN2/dt = (-c + mN1)N2 (1),
where α is coefficient of internal victim struggle,
and a>0,b>0,α>0,c>0,m>0
With this change N1=k1x, N2=k2y,t=k3z (2) the system (1) can be reduced to: dx/dz=x(E - Ax - y); dy/dz=y(-1 + x) (3)
And here is the questions:
1)Find the coefficients ki of element (2), where i =1,3 (irrationals)
2)Find the relationship/connection between params A and E from (3) and the params from (1)
3)Find the equilibrium (specific points) of system (3)
4)Examine the stability of the equilibrium position of (3)
5)Build a Phase Portrait of (3)

Thank you in advance! 2. ## Re: Predator-prey system

Since you have to solve it, and not us, perhaps you could tell us what you have managed so far.

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