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发布时间：2019-03-09

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：Scopus、PubMed、SCIE

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.