玻翼神枪手种群在泊松跳跃下数学模型的稳定性

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-02-28 DOI:10.1016/j.aml.2025.109523

Leonid Shaikhet

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引用次数: 0

摘要

已知的玻璃翼神枪手的数学模型，用一个非线性时滞微分方程来描述，考虑了白噪声和泊松跳型随机扰动的组合。假设随机扰动与系统状态偏离正平衡成正比。通过构造李雅普诺夫泛函的一般方法，得到了模型平衡概率稳定的两个不同条件。数值模拟和图表说明了所得结果。

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About stability of a mathematical model of Glassy-winged Sharpshooter population under Poisson’s jumps

The known mathematical model of Glassy-winged Sharpshooter, described by a nonlinear differential equation with delay, is considered under a combination of stochastic perturbations of the type of white noise and Poisson’s jumps. It is assumed that stochastic perturbations are directly proportional to the deviation of the system state from the positive equilibrium. Via the general method of Lyapunov functionals construction two different conditions for stability in probability of the model equilibrium are obtained. Numerical simulations and figures illustrate the obtained results.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.