scholarly journals Dynamic behavior of a stochastic predator-prey system under regime switching

2017 ◽  
Vol 22 (9) ◽  
pp. 3483-3498
Author(s):  
Nguyen Huu Du ◽  
◽  
Nguyen Thanh Dieu ◽  
Tran Dinh Tuong ◽  
◽  
...  
Keyword(s):  
Dynamic Behavior ◽  
Regime Switching ◽  
Predator Prey ◽  
Prey System

scholarly journals Dynamics and optimal harvesting of a stochastic predator-prey system with regime switching, S-type distributed time delays and Lévy jumps

2021 ◽  
Vol 7 (3) ◽  
pp. 4068-4093
Author(s):  
Yuanfu Shao ◽  
Keyword(s):  
Regime Switching ◽  
Time Delays ◽  
Optimal Harvesting ◽  
Comparison Theory ◽  
Predator Prey ◽  
Prey System ◽  
Persistence In The Mean ◽  
Distributed Time Delays ◽  
Stability In Distribution ◽  
Lévy Jumps

<abstract><p>This work is concerned with a stochastic predator-prey system with S-type distributed time delays, regime switching and Lévy jumps. By use of the stochastic differential comparison theory and some inequality techniques, we study the extinction and persistence in the mean for each species, asymptotic stability in distribution and the optimal harvesting effort of the model. Then we present some simulation examples to illustrate the theoretical results and explore the effects of regime switching, distributed time delays and Lévy jumps on the dynamical behaviors, respectively.</p></abstract>

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

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Weili Kong ◽  
Yuanfu Shao
Keyword(s):  
White Noise ◽  
Functional Response ◽  
Regime Switching ◽  
Type Ii ◽  
Stochastic Permanence ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey System ◽  
Long Time ◽  
Type Ii Functional Response

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.

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