Document Type

Article

Publication Date

5-27-2017

Publication Title

Journal of Applied Mathematics and Physics

DOI

10.4236/jamp.2017.55101

ISSN

2327-4379

Abstract

A stochastic SIR epidemic dynamic model with distributed-time-delay, for a two-scale dynamic population is derived. The distributed time delay is the varying naturally acquired immunity period of the removal class of individuals who have recovered from the infection, and have acquired natural immunity to the disease. We investigate the stochastic asymptotic stability of the disease free equilibrium of the epidemic dynamic model, and verify the impact on the eradication of the disease.

Comments

Copyright © 2017 by D. Wanduku and G. S. Ladde and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). This article was retrieved from the Journal of Applied Mathematics and Physics.

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Mathematics Commons

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