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Bifurcation Analysis in a Predator-prey Model with Constant-yield Predator Harvesting
黄继才 教授(华中师范大学)
2018-01-01 12:13  华东师范大学

报告内容简介::In this talk, we will introduce the effect of constant-yield predator harvesting on the dynamics of a Leslie-Gower type predator-prey model. Multiple bifurcations, including Bogdanov-Takens bifurcations of codimension 3 and degenerate Hopf bifurcation etc., are shown as the values of parameters vary. Numerical simulations, including the repelling and attracting Bogdanov-Takens bifurcation diagrams and corresponding phase portraits, the coexistence of a stable homoclinic loop and an unstable limit cycle, and two limit cycles, are presented to support the theoretical analysis. These results reveal far richer and much more complex dynamics compared to the model without harvesting or with only constant- yield prey harvesting, and the dynamical behavior of the model is very sensitive to the constant-yield predator harvesting and the initial densities of both species and it requires careful management in the applied conservation and renewable resource contexts.

主持人:毕 平 副教授