用差分方程分析雌蚊的生长速度

Q3 Mathematics

Ural Mathematical Journal Pub Date : 2022-12-29 DOI:10.15826/umj.2022.2.011

Regan Murugesan, Sathish Kumar Kumaravel, S. Rasappan, Wardah Abdullah Al Majrafi

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引用次数: 0

摘要

用差分方程的概念对蚊子的生命周期进行了数学推导。分析了生命周期的定性性质。为了稳定蚊子生命周期系统，对差分方程定义了Lyapunov函数。提出了一种新的稳定性判据的推导方法，特别是对离散时间系统采用了反演控制技术。并对蚊子生命周期模型进行了分岔分析。将该方法应用于蚊子生命周期模型中，并通过MATLAB对其结果进行了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ANALYSIS OF THE GROWTH RATE OF FEMININE MOSQUITO THROUGH DIFFERENCE EQUATIONS

The mosquito life cycle is developed mathematically with the concept of difference equation. The qualitative properties of the life-cycle are analyzed. The Lyapunov function is defined for difference equation to stabilize the system of mosquito life cycle. A novel technique is applied for deriving stability criterion, especially the back-stepping control technique is applied for discrete time system. The bifurcation analysis is also furnished for the model of mosquito life cycle. The new technique is applied in the mosquito life cycle model and its results are examined through MATLAB.

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来源期刊

Ural Mathematical Journal Mathematics-Mathematics (all)

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

16 weeks