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Global dynamics of an SVEIR epidemic model with distributed delay and nonlinear incidence
澳门新葡8455最新网站:2018年09月19日 09:24 点击数:

报告人:刘志军

报告地点:澳门新葡8455最新网站二楼会议室

报告澳门新葡8455最新网站:2018年09月19日星期三10:00-11:00

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报告摘要:

An SVEIR epidemic model with imperfect vaccination and nonlinear incidence, and a general latent distribution is formulated. By constructing Lyapunovfunctionals, it is shown that the disease will die out if the vaccination reproduction number R_vac≤1 and the disease becomes endemic if R_vac>1. Furthermore, vaccination effects are analyzed. Two special forms the probability of remaining in latent class are discussed. When the probability is negatively exponentially distributed, we present an efficient approach of proving global stability of the endemic equilibrium of the SVEIR system of ordinary differential equations (ODEs), which may improve some known approaches. When the probability is a step-function, the delay differential equation (DDE) system derived is used to study the impacts of vaccination and saturated incidence on the mumps transmission.

主讲人概况:

刘志军,男,湖北民族大学理新葡京最新官网院长、博士(后)、教授,中国生物数学学会常务理事、湖北省数学学会常务理事、湖北省工业与应用数学学会常务理事。以第一编辑或通讯编辑在《Nonlinear Anal RWA》、《Appl.Math.Modelling》、《Appl.Math.Comput》等学术刊物上发表SCI检索论文40余篇,主持在研国家自然科学基金面上项目1项,主持完成国家自然科学基金地区项目、教育部科学技术研究重点项目、中国博士后科学基金、湖北省自然科学基金各1项。先后获得湖北省新世纪高层次人才工程优秀青年骨干人选、湖北五一劳动奖章等荣誉称号。

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