潘秋惠

个人信息Personal Information

副教授

博士生导师

硕士生导师

性别:女

毕业院校:大连理工大学

学位:博士

所在单位:创新创业学院

学科:应用数学

办公地点:创新创业学院602

联系方式:84707445-6602

电子邮箱:qhpan@dlut.edu.cn

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Disease Control of Delay SEIR Model with Nonlinear Incidence Rate and Vertical Transmission

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论文类型:期刊论文

发表时间:2013-07-01

发表刊物:COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE

收录刊物:SCIE、PubMed、Scopus

卷号:2013

页面范围:830237

ISSN号:1748-670X

摘要:The aim of this paper is to develop two delayed SEIR epidemic models with nonlinear incidence rate, continuous treatment, and impulsive vaccination for a class of epidemic with latent period and vertical transition. For continuous treatment, we obtain a basic reproductive number R-0 and prove the global stability by using the Lyapunov functional method. We obtain two thresholds R* and R* for impulsive vaccination and prove that if R* < 1, then the disease-free periodic solution is globally attractive and if R-* > 1, then the disease is permanent by using the comparison theorem of impulsive differential equation. Numerical simulations indicate that pulse vaccination strategy or a longer latent period will make the population size infected by a disease decrease.