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Stability analysis of a prey–predator model with Holling type III response function incorporating a prey refuge. (English) Zbl 1102.92056
Summary: We consider a prey–predator model with Holling type III response function incorporating a prey refuge. The purpose of the work is to offer a mathematical analysis of the model and to discuss some significant qualitative results that are expected to arise from the interplay of biological forces. Some numerical simulations are carried out.
MSC:
92D40Ecology
34C05Location of integral curves, singular points, limit cycles (ODE)
34D23Global stability of ODE
65C20Models (numerical methods)
34C60Qualitative investigation and simulation of models (ODE)