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Qualitative analysis of a predator-prey model with Beddington-DeAngelis functional response and constant inputs. (Chinese. English summary) Zbl 1413.34186
Summary: By using ordinary differential equations to study predator-prey model with Beddington-DeAngelis type functional response, whose prey population has a constant stocking rate, we obtain conditions for the global stability of the equilibrium point and for the existence of a limit cycle. We further analyze the ecological significance of the corresponding system and use Mathematica to simulate the model.
MSC:
34C60 Qualitative investigation and simulation of ordinary differential equation models
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
92D25 Population dynamics (general)
Software:
Mathematica
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