Open AccessDynamical behavior of a stochastic predator-prey model with Holling-type III functional response and infectious predator
Author(s) -
Chuangliang Qin,
AUTHOR_ID,
Jinji Du,
Honglian Yang,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022413
Subject(s) - uniqueness , functional response , predator , predation , mathematics , lyapunov function , ergodic theory , extinction (optical mineralogy) , population , type (biology) , stationary distribution , control theory (sociology) , biology , mathematical analysis , ecology , statistics , markov chain , computer science , nonlinear system , physics , paleontology , demography , control (management) , quantum mechanics , artificial intelligence , sociology
In this paper, we formulate a stochastic predator-prey model with Holling III type functional response and infectious predator. By constructing Lyapunov functions, we prove the global existence and uniqueness of the positive solution of the model, and establish the ergodic stationary distribution of the positive solution, which indicates that both the prey and predator will coexist for a long time. We also obtain sufficient conditions for the extinction of the predator and prey population. We finally provide numerical simulations to demonstrate our main results.