On a population model with Allee effects and environmental perturbations

2020 ◽  
Vol 64 (1-2) ◽  
pp. 749-764
Author(s):  
Weiming Ji
2007 ◽  
Vol 13 (4) ◽  
pp. 309-321 ◽  
Author(s):  
Jia Li ◽  
Baojun Song ◽  
Xiaohong Wang

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Famei Zheng ◽  
Guixin Hu

AbstractIn this research, we probe the influences of two common types of stochastic noises in the environment, namely, white noise and telephone noise, and put forward a stochastic differential equation population model with Allee effects. We analyze some asymptotic behaviors of the model, including extermination, persistence and invariant measure. Some vital functions of white noise and telephone noise on these asymptotic behaviors of the model are discovered and numerically expounded.


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