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Dynamics of prey threshold harvesting and refuge. (English) Zbl 1235.92048
Summary: The dynamics of a predator-prey model with continuous threshold prey harvesting and prey refuge is studied. One central question is how harvesting and refuge could directly affect the dynamics of the ecosystem, such as the stability properties of some coexistence equilibria and periodic solutions. Theoretical and numerical methods are used to investigate the boundedness of solutions, existence of bionomic equilibria, as well as the existence and stability properties of equilibrium points and periodic solutions. Several bifurcations are also studied.

MSC:
92D40 Ecology
37N25 Dynamical systems in biology
65C20 Probabilistic models, generic numerical methods in probability and statistics
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