Article
Global Analysis of a Stochastic Two-Scale Network Human Epidemic Dynamic Model with Varying Immunity Period
Journal of Applied Mathematics and Physics
(2017)
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.
Keywords
- Disease-Free Steady State,
- Stochastic Asymptotic Stability,
- Threshold Value,
- Positively Self Invariant Set,
- Lyapunov Functional Technique
Disciplines
Publication Date
May 27, 2017
DOI
10.4236/jamp.2017.55101
Publisher Statement
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.
Citation Information
Divine Wanduku and G. S. Ladde. "Global Analysis of a Stochastic Two-Scale Network Human Epidemic Dynamic Model with Varying Immunity Period" Journal of Applied Mathematics and Physics Vol. 5 Iss. 5 (2017) p. 1150 - 1173 ISSN: 2327-4379 Available at: http://works.bepress.com/divine-wanduku/1/