Periodic Solutions of a Stochastic Food-Limited Mutualism Model

被引：8
|
作者：
Zhang, Xinhong [1 ]
Jiang, Daqing [2 ]
机构：
[1] China Univ Petr East China, Coll Sci, Qingdao 266555, Peoples R China
[2] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
来源：
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY | 2020年 / 22卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Stochastic periodic solutions; Food-limited mutualism model; Extinction; NONAUTONOMOUS LOGISTIC EQUATION; ASYMPTOTIC-BEHAVIOR; GLOBAL STABILITY; EXISTENCE; SYSTEM; PERMANENCE;
D O I：
10.1007/s11009-019-09697-6
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, we consider a stochastic food-limited mutualism model with periodic coefficients. Using Has'minskii theory of periodic Markov processes, sufficient conditions for the existence of the stochastic nontrivial periodic solutions to the model are established. Then we obtain conditions for the existence and global attractivity of the boundary periodic solutions. Finally, examples are introduced to illustrate the results developed.
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页码：267 / 278
页数：12
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