On the stability of an SEIR epidemic model with distributed time-delay and a general class of feedback vaccination rules

M. De la Sen, S. Alonso-Quesada and A. Ibeas

Applied Mathematics and Computation, 2015, vol. 270, issue C, 953-976

Abstract: This paper discusses and formulates a continuous-time SEIR -type epidemic model of pseudo-mass action type with finitely distributed delays under a very general, potentially time-varying, vaccination control rule which eventually generates feedback actions on the susceptible, infectious and recovered subpopulations. A lot of particular vaccination laws can be got from the proposed general one. The disease-free and endemic equilibrium points are characterized and their local stability properties discussed depending on the limits of the vaccination control gains provided that they converge asymptotically. Then, the global asymptotic stability to the disease-free equilibrium point is studied under an infective transmission rate below a certain maximum threshold. Later on, an extended SEIR epidemic model is discussed through simulated examples with stochastic Wiener-type perturbations around the equilibrium points.

Keywords: Distributed delays; SEIR model; Feedback vaccination controls; Non-negativity of solutions; Equilibrium points; WIENER process (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315011558
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:apmaco:v:270:y:2015:i:c:p:953-976

DOI: 10.1016/j.amc.2015.08.099

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().