Analysis of Stochastic Predator-Prey Model with Disease in the Prey and Holling Type II Functional Response

被引：12
|
作者：
Gokila, C. [1 ]
Sambath, M. [1 ]
Balachandran, K. [2 ]
Ma, Yong-Ki [3 ]
机构：
[1] Periyar Univ, Dept Math, Salem 636011, India
[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
[3] Kongju Natl Univ, Dept Appl Math, Gongju Si 32588, Chungcheongnam, South Korea
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2020年 / 2020卷
基金：
新加坡国家研究基金会;
关键词：
GLOBAL ASYMPTOTIC STABILITY; MODIFIED LESLIE-GOWER; STATIONARY DISTRIBUTION; DYNAMICS; SYSTEM; PERSISTENCE;
D O I：
10.1155/2020/3632091
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A stochastic predator-prey model with disease in the prey and Holling type II functional response is proposed and its dynamics is analyzed. We discuss the boundedness of the dynamical system and find all feasible equilibrium solutions. For the stochastic systems, we obtain the conditions for the existence of the global unique solution, boundedness, and uniform continuity. We derive the conditions for extinction and permanence of species. Moreover, we construct appropriate Lyapunov functions and discuss the asymptotic stability of equilibria. To illustrate our theoretical findings, we have performed numerical simulations and presented the results.
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收藏
页数：17
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