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 ◽  
◽  
...  
2021 ◽  
Vol 7 (3) ◽  
pp. 4068-4093
Author(s):  
Yuanfu Shao ◽  

<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>


2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Weili Kong ◽  
Yuanfu Shao

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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