Coexistence and extinction of a periodic stochastic predator–prey model with general functional response

被引：0
作者：
Weiming Ji
Meiling Deng
机构：
[1] Huaiyin Normal University,School of Mathematical Science
来源：
Advances in Difference Equations | / 2020卷
关键词：
Predator–prey model; Stochasticity; Periodic; Coexistence-and-extinction threshold; 60H10; 60H30; 92D25;
D O I：
暂无
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学科分类号：
摘要：
This note deals with a stochastic predator–prey system with periodic coefficients and general functional response, and provides the threshold between coexistence and extinction. The result refines and evolves some prior investigations.
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[1]  
Beddington J.(1975)Mutual interference between parasites or predators and its effect on searching efficiency J. Anim. Ecol. 44 331-340
[2]  
DeAngelis D.(1975)A model for trophic interaction Ecology 56 881-892
[3]  
Goldstein R.(2020)Analysis of a stochastic tumor-immune model with regime switching and impulsive perturbations Appl. Math. Model. 78 482-504
[4]  
O’Neill R.(2020)Invariant measure of a stochastic food-limited population model with regime switching Math. Comput. Simul. 178 16-26
[5]  
Deng Y.(2013)Dynamics of a stochastic non-autonomous predator–prey system with Beddington–DeAngelis functional response Adv. Differ. Equ. 2013 523-545
[6]  
Liu M.(2009)Population dynamical behavior of non-autonomous Lotka–Volterra competitive system with random perturbation Discrete Contin. Dyn. Syst. 24 217-228
[7]  
Li D.(1980)A strong law of large numbers for local martingales Stochastics 3 396-423
[8]  
Liu M.(2020)Optimal harvesting of a stochastic mutualism model with regime-switching Appl. Math. Comput. 375 1464-1467
[9]  
Li S.(2017)Stability in distribution of a three-species stochastic cascade predator–prey system with time delays IMA J. Appl. Math. 82 443-457
[10]  
Zhang X.(2010)Extinction and permanence in a stochastic non-autonomous population system Appl. Math. Lett. 23 1969-2012
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