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Multiple focus and Hopf bifurcations in a predator-prey system with nonmonotonic functional response. (English) Zbl 1109.34034
A two-dimensional predator prey system is studied that has been considered earlier in {\it H. Zhu, S. A. Campbell} and {\it G. S. K. Wolkowicz} [SIAM J. Appl. Math. 63, No. 2, 636--682 (2002; Zbl 1036.34049)]. The case is followed up this time when the system has a weak stable focus. The order of the focus is established and conditions are given under which the system has two limit cycles around it, a stable and an unstable one.

34C25Periodic solutions of ODE
37G15Bifurcations of limit cycles and periodic orbits
37N25Dynamical systems in biology
92D25Population dynamics (general)
34C23Bifurcation (ODE)
34C60Qualitative investigation and simulation of models (ODE)
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