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Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey. (English) Zbl 1231.34053
Summary: A bidimensional differential equation system obtained by modifying the well-known predator-prey Rosenzweig-MacArthur model is analyzed by considering prey growth influenced by the Allee effect.

34C05Location of integral curves, singular points, limit cycles (ODE)
92D25Population dynamics (general)
34C23Bifurcation (ODE)
34C37Homoclinic and heteroclinic solutions of ODE
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