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Bifurcation Analysis of a Predator-Prey System With Nonmonotonic Function Response
(SIAM Journal on Applied Mathematics, 2002)
We consider a predator-prey system with nonmonotonic functional response: p(x) = mx /(ax2 +bx+1) . By allowing b to be negative (b > −2√a), p(x) is concave up for small values of x > 0 as it is for the sigmoidal functional ...
Multiple Focus and Hopf Bifurcations in a Predator-Prey System with Nonmonotonic Functional Response
(SIAM Journal on Applied Mathematics, 2006)
In this paper, we develop a criterion to calculate the multiplicity of a multiple focus for general predator prey systems. As applications of this criterion, we calculate the most multiplicity of a multiple focus in a ...