Abstract

Background: The present paper is based on models of conformable fractional differential equations to describe the dynamics of certain epidemics.

Methods: In this paper, we have divided the population into groups, namely susceptible, exposed, infectious, and recovered, and also described the treatment modalities.

Results: The analytical study of the model shows two equilibrium points (disease-free equilibrium and endemic equilibrium).

Conclusion: For both cases, local asymptotic stability has been proven. In conclusion, we have presented the numerical simulation.

Keywords: Conformable fractional derivative, epidemiological models, SEIR model, analytical study, numerical simulation, biological system.

Graphical Abstract