Mathematical modelling of echinococcosis in human, dogs and sheep with intervention

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-05-30 DOI:10.1080/17513758.2022.2081368

Birhan Getachew Bitew, J. Munganga, Adamu Shitu Hassan

引用次数: 1

Abstract

In this study, a model for the spread of cyst echinococcosis with interventions is formulated. The disease-free and endemic equilibrium points of the model are calculated. The control reproduction number for the model is derived, and the global dynamics are established by the values of . The disease-free equilibrium is globally asymptotically stable if and only if . For , using Volterra–Lyapunov stable matrices, it is proven that the endemic equilibrium is globally asymptotically stable. Sensitivity analysis to identify the most influential parameters in the dynamics of CE is carried out. To establish the long-term behaviour of the disease, numerical simulations are performed. The impact of control strategies is investigated. It is shown that, whenever vaccination of sheep is carried out solely or in combination with cleaning or disinfecting of the environment, cyst echinococcosis can be wiped out.

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人、狗和羊棘球蚴病干预的数学模型

在这项研究中，制定了一个囊肿棘球蚴病传播的干预模型。计算了该模型的无病和地方病平衡点。导出了模型的控制再现数，并通过的值建立了全局动力学。无病均衡是全局渐近稳定的当且仅当。因为，使用Volterra–Lyapunov稳定矩阵，证明了地方均衡是全局渐近稳定的。进行灵敏度分析，以确定CE动力学中最具影响力的参数。为了确定这种疾病的长期行为，进行了数值模拟。研究了控制策略的影响。研究表明，无论何时单独或结合环境清洁或消毒对绵羊进行疫苗接种，都可以消灭囊肿棘球蚴病。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.