Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response
We consider a predator-prey system with nonmonotonic functional response: $p(x)=\frac{mx}{ax^2+bx+1}$. By allowing b to be negative ($b > -2\sqrt a$), p(x) is concave up for small values of x > 0 as it is for the sigmoidal functional response. We show that in this case there exists a Bogdanov--Takens bifurcation …