Greetings -
I'm having trouble figuring out an efficient means towards solving for the
equilbria in a four-equation model with two herbivores (H1 and H2), and two
predators (P and S). Below, I have set the rate of change for these
populations to 0 (i.e., equilibrium), then solved. The resultant
Using Mathematica I get the following:
H1 <- (apred1*ashark2*eshark2*(ashark3*b2+ashark2*xpred)+
ashark3*eshark3*(-(alpha22*b2*(ashark3*b1+ashark1*xpred))+
alpha12*b1*(ashark3*b2+ashark2*xpred))-alpha22*apred1*ashark3*b2*xshark+
apred2^2*ashark1*epred2*xshark-apred2*(-(ashark3*
(ashark1*b2*epred2*