DYNAMICS FOR A STOCHASTIC TWO-SPECIES COMPETITIVE MODEL OF PLANKTON ALLEOPATHY

被引：0
|
作者：
Guo, Yueling [1 ]
机构：
[1] Hunan Inst Technol, Dept Math & Phys, 18 Henghua Rd, Hengyang 421002, Peoples R China
来源：
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2016年 / 12卷 / 01期
关键词：
Stochastic competitive model; Permanence; Extinction; Plankton alleopathy; Stationary distribution; Global asymptotic stability;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper deals with a stochastic two-species competitive model of plankton alleopathy. Sonic very verifiable criteria on the uniformly weakly persistent in the mean almost surely (a.s.) and extinction for each species are obtained. Moreover, we also prove that there is a stationary distribution to this system and it has the ergodic property. Finally, sonic sufficient conditions for global asymptotic stability of the positive solution are established. An example is given to illustrate our main theoretical findings. Our results are new and complement previously known results.
引用
收藏
页码：77 / 89
页数：13
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