Affiliation:
1. College of Sciences, Nanjing University of Technology, Nanjing 211816, China
Abstract
We present and analyze a modified Holling type-II predator-prey model that includes some important factors such as Allee effect, density-dependence, and environmental noise. By constructing suitable Lyapunov functions and applying 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.
Subject
Applied Mathematics,Analysis
Cited by
12 articles.
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