Open AccessGlobal stability of a stochastic Beddington-DeAngelis type predator-prey model with time delay and stage structure for prey incorporating refuge
Author(s) -
Yanfang Fu,
Kai Zhou
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1324/1/012039
Subject(s) - uniqueness , lyapunov function , predation , stability (learning theory) , equilibrium point , type (biology) , control theory (sociology) , mathematics , functional response , mathematical optimization , predator , computer science , ecology , differential equation , biology , control (management) , mathematical analysis , artificial intelligence , nonlinear system , physics , quantum mechanics , machine learning
In this paper, we first propose a stochastic Beddington-DeAngelis type predator-prey model with time delay and stage structure for prey incorporating refuge. Then, we obtain the existence and uniqueness of the global positive solution for this model. By constructing proper Lyapunov function, we establish the sufficient criteria for the global stability of the positive equilibrium point. At the last, we performed some numerical simulations to verify the main results.