Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching

被引：2

作者：

Kong, Weili ^{[1
]}

Shao, Yuanfu ^{[2
]}

机构：

[1] Qujing Normal Univ, Coll Teacher Educ, Qujing 655011, Yunnan, Peoples R China

[2] Guilin Univ Technol, Coll Sci, Guilin 541004, Guangxi, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

关键词：

D O I：

10.1155/2021/6672030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering the impacts of white noise, Holling-type II functional response, and regime switching, we formulate a stochastic predator-prey model in this paper. By constructing some suitable functionals, we establish the sufficient criteria of the stationary distribution and stochastic permanence. By numerical simulations, we illustrate the results and analyze the influence of regime switching on the dynamics.

引用

页数：13

共 50 条

[31] Dynamics of a stochastic regime-switching predator–prey model with modified Leslie–Gower Holling-type II schemes and prey harvesting
Meng Liu
Nonlinear Dynamics, 2019, 96 : 417 - 442
[32] Global behavior for a diffusive predator-prey system with Holling type II functional response
Zhao, Yanzhong
BOUNDARY VALUE PROBLEMS, 2012,
[33] The impact of Allee effect on a predator-prey system with Holling type II functional response
Zu, Jian
Mimura, Masayasu
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3542 - 3556
[34] Jacobi Stability Analysis Of Predator-Prey Models With Holling-type II and III Functional Responses
Kolebaje, Olusola
Popoola, Oyebola
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH 2018): INNOVATIVE TECHNOLOGIES FOR MATHEMATICS & MATHEMATICS FOR TECHNOLOGICAL INNOVATION, 2019, 2184
[35] Dynamics of a Discrete-Time Predator-Prey System with Holling II Functional Response
Arias, Carlos F.
Ble, Gamaliel
Falconi, Manuel
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (02)
[36] Global behavior for a diffusive predator-prey system with Holling type II functional response
Yanzhong Zhao
Boundary Value Problems, 2012
[37] Optimization Problem of a Predator-prey System with Holling II Functional Response
Zeng Zhijun
PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 5483 - 5485
[38] Asymptotic behavior and extinction of a stochastic predator-prey model with Holling type II functional response and disease in the prey
Ma, Jiying
Ren, Haimiao
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (04) : 4111 - 4133
[39] Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response
Wang, Qi
Dai, Binxiang
Chen, Yuming
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (9-10) : 1829 - 1836
[40] Analysis of a Stochastic Holling Type II Predator–Prey Model Under Regime Switching
Xiaobo Jiang
Li Zu
Daqing Jiang
Donal O’Regan
Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 2171 - 2197

← 1 2 3 4 5 →