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Abstract In this article we discuss bifurcation analysis of a predator-prey model allowing for prey refuge. Here the amount of prey in refugia is proportional to encounters between prey and… Click to show full abstract
Abstract In this article we discuss bifurcation analysis of a predator-prey model allowing for prey refuge. Here the amount of prey in refugia is proportional to encounters between prey and predator. The equilibrium points and their local stability have been analyzed. The local bifurcation (Hopf, saddle-node, transcritical, Bogdanov-Takens) have been discussed. Stability of the limit cycle emerging through Hopf-bifurcation is given. Persistence criterion of the model is developed. Some numerical simulations are performed to validate the obtained results.
Journal Title: Chinese Journal of Physics
Year Published: 2020
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