Dynamics of a stochastic population model with Allee effects under regime switching

被引：0
作者：
Weiming Ji
Meng Liu
机构：
[1] Huaiyin Normal University,School of Mathematical Science
来源：
Advances in Difference Equations | / 2020卷
关键词：
Allee effect; Stochastic perturbations; Extinction; Persistence; 60H10; 60H30; 92D25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A stochastic single-species model with Allee effects under regime switching is developed and detected in the present study. First, extinction and persistence of the model are dissected. Subsequently, sufficient criteria are offered to ensure that the model possesses a unique ergodic stationary distribution. Finally, the theoretical outcomes are employed to evaluate the evolution of the African wild dog (Lycaon pictus) in Africa, and some significant functions of stochastic perturbations are exposed.
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[1]  
Aguirre P.(2013)Stochastic predator–prey model with Allee effect on prey Nonlinear Anal., Real World Appl. 14 768-779
[2]  
González-Olivares E.(2010)Assessing re-introductions of the African Wild dog ( J. Nat. Conserv. 18 237-246
[3]  
Torres S.(2002)) in the Limpopo Valley Conservancy, South Africa, using the stochastic simulation program VORTEX J. Theor. Biol. 218 375-394
[4]  
Bach L.(1999)Single-species models of the Allee effect: extinction boundaries, sex ratios and mate encounters J. Anim. Ecol. 68 672-683
[5]  
Pedersen R.(2012)Predation, group size and mortality in a cooperative mongoose, J. Biol. Dyn. 6 941-958
[6]  
Hayward M.(2015)Evolutionary dynamics and strong Allee effects Appl. Math. Model. 39 733-746
[7]  
Stagegaard J.(2017)The influence of time-dependent delay on behavior of stochastic population model with the Allee effect Discrete Contin. Dyn. Syst., Ser. B 22 2651-2667
[8]  
Loeschcke V.(2016)Extinction in stochastic predator–prey population model with Allee effect on prey J. Differ. Equ. Appl. 22 687-723
[9]  
Pertoldi C.(2009)Dynamics of a generalized Ricker–Beverton–Holt competition model subject to Allee effects J. Comput. Appl. Math. 232 427-448
[10]  
Boukal D.(2020)Population dynamical behavior of Lotka–Volterra system under regime switching Math. Comput. Simul. 178 16-26
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