Analysis of a fractional SEIR model with treatment

作者：Almeida, Ricardo^*

来源：Applied Mathematics Letters, 2018, 84: 56-62.

DOI：10.1016/j.aml.2018.04.015

• Fractional calculus
• Epidemiological models
• SEIR model
• Numerical simulations

In this paper we focus on models consisting of fractional differential equations to describe the dynamics of certain epidemics. The population is divided into susceptible, exposed, infectious, and recovered (SEIR), with treatment policies. We present an analytical study and show that the model has two equilibrium points (disease free equilibrium and endemic equilibrium). Local asymptotic stability is proven for both cases. Numerical simulations are presented to illustrate the conclusions.

• 出版日期2018-10