具有非线性延迟Gamma-Ricker函数和随机扰动的蜱虫种群系统的最终有界性和估计

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-02-01 DOI:10.1016/j.chaos.2024.115824

Xingzhi Chen

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引用次数: 0

摘要

随机极限有界性和李雅普诺夫指数估计是分析随机模型的基础。这些性质对于解决包含延迟的随机生物模型尤其重要，需要应用先进的数学技术。本文提出了一种包含非线性延迟Gamma-Ricker函数的随机蜱虫种群模型，并对其进行了检验。然后，研究了随机模型的几个关键问题，包括全局非负解和最终有界解，以及Lyapunov指数估计。最后，通过数值模拟验证了数学结果，并说明了分析的实际适用性。

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Ultimate boundedness and estimation of tick population system with non-linear delayed Gamma-Ricker function and stochastic perturbation

Stochastically ultimate boundedness and Lyapunov exponent estimation are fundamental in the analysis of stochastic models. These properties are particularly crucial for addressing stochastic biological models that incorporate delays, necessitating the application of advanced mathematical techniques. In this paper, a stochastic tick population model incorporating non-linear delayed Gamma-Ricker function is proposed and examined. Then, several critical issues related to the stochastic model are investigated, including the global nonnegative solution and the ultimately bounded solution, and Lyapunov exponent estimation. Finally, a numerical simulation is presented to confirm the mathematical findings and illustrate the practical applicability of the analysis.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.