Question

Write a system to model a predator-prey system in which there are three species.

Species A is prey for both species B and C, species B is also prey for species C, and species C is not preyed upon.

For example, species A would have a growing population if there were no members of species B or C, species B or C would die off without prey, and the predator-prey interactions follow the same model.)

b) What are the conditions on the predation constants that give a unique nonzero equilibrium point?

So far I have this, let dx/dt represent the population of A, dy/dt represent B, dz/dt represent C

dx/dt = ax - bxy - cxz where a,b,c ....>0

dy/dt = -dy + ex -fz

dz/dt = -gz +hxz +iyz

I am confused about how to implement the competition term between B and C since C is both a competitor and predator to B.

Answer 1