Stability of a budworm growth model with random perturbations

被引：36

作者：

Liu, Meng ^{[1
]}

Zhu, Yu ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 79卷

关键词：

Budworm growth model; White noise; Regime switching; Stability; Stationary distribution; SPRUCE-BUDWORM; POPULATION-MODEL; DYNAMICS; SYSTEMS;

D O I：

10.1016/j.aml.2017.11.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A budworm growth model perturbed by both white noises and regime switchings is proposed and analyzed. It is proven that there is a threshold. If this threshold is positive, then the model has a unique ergodic stationary distribution; if this threshold is negative, then the zero solution of the model is stable. The results show that both white noises and regime switchings can change the stability of the model greatly. Several numerical simulations based on realistic data are also introduced to illustrate the main results. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：13 / 19

页数：7

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