Persistence and existence of stationary measures for a logistic growth model with predation

被引：3

作者：

Pinheiro, Susana ^{[1
]}

机构：

[1] CUNY, Brooklyn Coll, Dept Math, New York, NY 10021 USA

来源：

STOCHASTIC MODELS | 2016年 / 32卷 / 04期

关键词：

Population dynamics; stationary measures; stochastic differential equations; 92D25; 60H10; 60J65; STOCHASTIC DIFFERENTIAL-EQUATIONS; NON-LIPSCHITZIAN COEFFICIENTS; RANDOM PERTURBATION; GLOBAL STABILITY; EPIDEMIC MODEL; NOISE; PERMANENCE; UNIQUENESS; DYNAMICS;

D O I：

10.1080/15326349.2016.1174587

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：

We consider a stochastic logistic growth model with a predation term, and a diffusive stochastic part with a power-type coefficient. We provide criteria for the persistence of the population and for the existence and uniqueness of a stationary measure. Furthermore, we perform a detailed study of the densities of the stationary measures resorting to the forward Kolmogorov equation. We compile our results in a stochastic bifurcation diagram, drawing comparisons with the corresponding deterministic model.

引用

页码：513 / 538

页数：26

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