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• W2040782610 abstract "In this paper we study the complex dynamics of predator-prey systems with nonmonotonic functional response and harvesting. When the harvesting is constant-yield for prey, it is shown that various kinds of bifurcations, such as saddle-node bifurcation, degenerate Hopf bifurcation, and Bogdanov-Takens bifurcation, occur in the model as parameters vary. The existence of two limit cycles and a homoclinic loop is established by numerical simulations. When the harvesting is seasonal for both species, sufficient conditions for the existence of an asymptotically stable periodic solution and bifurcation of a stable periodic orbit into a stable invariant torus of the model are given. Numerical simulations are carried out to demonstrate the existence of bifurcation of a stable periodic orbit into an invariant torus and transition from invariant tori to periodic solutions, respectively, as the amplitude of seasonal harvesting increases." @default.
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• W2040782610 date "2013-01-01" @default.
• W2040782610 modified "2023-10-16" @default.
• W2040782610 title "Complex Dynamics in Predator-prey Models with Nonmonotonic Functional Response and Harvesting" @default.
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• W2040782610 doi "https://doi.org/10.1051/mmnp/20138507" @default.
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