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!