Global stability analysis of an SEIR epidemic model with vertical transmission
by Abdelilah Kaddar; Soufiane Elkhaiar; Fatiha Eladnani
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 7, No. 3, 2017

Abstract: The aim of this paper is to include general incidence function in the SEIR epidemic model with both horizontal and vertical transmission. We focus on the global stability of all possible equilibria: the disease-free equilibrium and the endemic equilibrium. The global stability of the disease-free equilibrium is proved by constructing a suitable Lyapunov function and under some appropriate assumptions on the incidence function, the global dynamics of the endemic equilibrium is determined by the geometric approach.

Online publication date: Mon, 18-Sep-2017

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Dynamical Systems and Differential Equations (IJDSDE):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com