Dynamical analysis of a stochastic predator-prey model with an Allee effect
Summary: We present and analyze a modified Holling type-II predator-prey model that includes some important factors such as Allee effects, density-dependence, and environmental noise. By constructing suitable Lyapunov functions and applying the Itô formula, some qualitative properties are given, such as the existence of global positive solutions, stochastic boundedness, and the global asymptotic stability. A series of numerical simulations to illustrate these mathematical findings are presented.
scientific article; zbMATH DE number 6306670
scientific article