期刊
AIMS MATHEMATICS
卷 5, 期 4, 页码 2843-2857出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2020182
关键词
Incidence rate function; SEIR model; Caputo fractional derivative; stability analysis
The incidence rate function describes the mechanism of a disease transmission and has a key role in mathematical epidemiology. In the present paper, we develop a fractional SEIR epidemic model in the Caputo sense with generalized incidence function. Initially, we present the existence and positivity of the Caputo SEIR epidemic model and calculate the basic reproduction number. Further, we investigate the model equilibria and prove the detail stability analysis of the model. Finally, the numerical simulations are provided for various values of fractional order alpha and different incidence rates. From the numerical simulations we conclude that the order of the fractional derivative plays a significant role to provides more insights about the disease dynamics.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据