Dynamics of an fractional SEIR epidemic model with infectivity in latent period and general nonlinear incidence rate

Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir and Abdelfatah Kouidere

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: In this paper, we consider an fractional SEIR epidemic model with infectious force in the latent period and general nonlinear incidence rate of the form f(S,I)I+g(S,E)E. The global existence, nonnegativity and boundedness of solutions in this system are proved. The basic reproduction number is obtained. We show that the model exhibits two equilibriums: the disease-free and endemic equilibrium. The local stability of each equilibrium are discussed. By means of Lyapunov functionals and LaSalle’s invariance principle, we proved the global asymptotic stability of the equilibria. An application is given and numerical simulation results have been incorporated to support the theoretical results of this work.

Keywords: Fractional SEIR epidemic model; Latent period; Local stability; Global stability (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921008109
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921008109

DOI: 10.1016/j.chaos.2021.111456

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().