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Multiple bifurcations in a predator–prey system with monotonic functional response. (English) Zbl 1102.34031
A predator-prey system is treated with Holling-type-III functional response and constant harvesting of the predator. The system is transformed into some normal form. Then, the parameters are fixed numerically except the death rate of predator and the harvesting constant. With the latter two as bifurcation parameters, performing several transformations, it is shown that the system undergoes a Bogdanov-Takens bifurcation at a certain value of the parameters.

34C60 Qualitative investigation and simulation of ordinary differential equation models
92D25 Population dynamics (general)
34C23 Bifurcation theory for ordinary differential equations
34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
Full Text: DOI
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