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Nonconstant predator harvesting on ratio-dependent predator-prey models. (English) Zbl 1189.37098

Summary: The dynamics of a ratio-dependent predator-prey model with two different non-constant harvesting functions depending on the predator population is studied. Equilibria and periodic orbits are computed and their stability properties are analyzed. Several bifurcations are detected as well as connecting orbits. Smooth numerical continuation is performed that allows computation of branches of solutions. Conditions for the boundedness of solutions and for the existence of a bionomic equilibrium are analyzed.

MSC:

37N25 Dynamical systems in biology
65L99 Numerical methods for ordinary differential equations
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