Threshold dynamics of a time-delayed dengue virus infection model incorporating vaccination failure and exposed mosquitoes

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-11-09 DOI:10.1016/j.aml.2024.109366

Songbai Guo , Min He , Fuxiang Li

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引用次数: 0

Abstract

A time-delayed dengue virus transmission model has been developed, which takes into account vaccination failure and the presence of exposed mosquitoes. This model also incorporates the survival probability of infected individuals during the incubation period to provide a clearer understanding of how latency affects the control reproduction number

R_{c}

. Furthermore, by employing the Lyapunov functional approach, we establish the global asymptotic stability of equilibria in relation to

R_{c}

. The results indicate that the disease-free equilibrium

T^{0}

is globally asymptotically stable if and only if

R_{c} \leq 1

, whereas the endemic equilibrium

T^{*}

is globally asymptotically stable if and only if

R_{c} > 1

查看原文本刊更多论文

包含疫苗接种失败和暴露蚊子的延时登革热病毒感染模型的阈值动力学

我们建立了一个延时登革热病毒传播模型，其中考虑到了疫苗接种失败和暴露蚊子的存在。该模型还纳入了潜伏期受感染个体的存活概率，从而更清楚地了解潜伏期如何影响控制繁殖数 Rc。此外，通过使用李亚普诺夫函数方法，我们建立了与 Rc 有关的均衡的全局渐进稳定性。结果表明，当且仅当 Rc≤1 时，无病平衡 T0 是全局渐近稳定的，而当且仅当 Rc>1 时，流行平衡 T∗ 是全局渐近稳定的。

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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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.