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.
Recommended Citation
Wanduku, Divine, G. S. Ladde.
2017.
"Global Analysis of a Stochastic Two-Scale Network Human Epidemic Dynamic Model with Varying Immunity Period."
Journal of Applied Mathematics and Physics, 5 (5): 1150-1173.
doi: 10.4236/jamp.2017.55101
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/697
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.