首页|一类具有饱和型发病率的双时滞利什曼病模型的全局稳定性分析

一类具有饱和型发病率的双时滞利什曼病模型的全局稳定性分析

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利什曼病或称为黑热病,它通过受感染的白蛉叮咬而得以传播.该病最常见的两种临床表现分别为内脏利什曼病和皮肤利什曼病.为了有效控制该疾病的传播,该文提出了一类具有饱和型发病率的双时滞利什曼病模型.首先分析平衡点的存在性,并确定了基本再生数;接着通过构造适当的李雅普诺夫函数,并利用LaSalle不变性原理,研究该系统平衡点的全局稳定性;最后通过数值模拟来验证结果的可行性并给出相应的结论.
Global stability analysis of a double delay Leishmaniasis model with saturated incidence rate
Leishmaniasis,also known as kala-azar,is transmitted by the bite of infected sandflies.The two most common clinical manifestations of the disease are visceral Leishmaniasis and cutaneous Leish-maniasis.In order to effectively control the spread of the disease,a double delay Leishmaniasis model with saturated incidence rate is proposed.First,this paper analyzes the existence of equilibrium points and determines the basic regeneration number.Then,by constructing an appropriate Lyapunov function and using the LaSalle invariance principle,the global stability of the equilibrium point of the system is studied.Finally,this study verifies the feasibility of the results through numerical simulation and gives the corre-sponding conclusion.

Leishmaniasissaturated incidence ratedouble delayLyapunov functionglobal stability

杨雨琴、杨文生

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福建师范大学数学与统计学院,350117,福建省福州市

利什曼病 饱和型发病率 双时滞 李雅普诺夫函数 全局稳定性

国家自然科学基金福建省自然科学基金

116720742022J01192

2024

曲阜师范大学学报(自然科学版)
山东曲阜师范大学

曲阜师范大学学报(自然科学版)

影响因子:0.299
ISSN:1001-5337
年,卷(期):2024.50(2)
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