Equilibrium point

Epidemic model

Demography

Differential equation

Applied mathematics

Stability (learning theory)

Computer science

Physics

Mathematics

Optics

Population model

Population

Sociology

Focus (optics)

Mathematical analysis

Machine learning

Applied Mathematics Letters

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.

Analysis of a fractional SEIR model with treatment