OSCILLATION AND SURVIVAL ANALYSIS OF GENERALIZED STOCHASTIC LOGISTIC MODELS WITH PIECEWISE CONSTANT ARGUMENT

被引：1

作者：

Zhang, Tiansi ^{[1
]}

Qiu, Lihong ^{[1
]}

Zhao, Dianli ^{[1
]}

Yuan, Sanling ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 03期

关键词：

Stochastic logistic model; piecewise constant argument; global positive solution; extinction and persistence; oscillation; PREDATOR-PREY MODEL; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; STABILITY; DYNAMICS; EXISTENCE;

D O I：

10.11948/20230271

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper focuses on oscillation and survival analysis for a class of generalized stochastic logistic equations with piecewise constant argument. The existence of global positive solution is proved firstly. Then the necessary and sufficient conditions under which the population will be almost surely extinct and persistent are investigated. Furthermore, we study the condition for oscillation of the equation with constant coefficients, and the result shows that the solution oscillates around a new positive point induced by the noise. Finally, numerical experiments are given for several examples to support the results.

引用

页码：1522 / 1542

页数：21

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