EconPapers    
Economics at your fingertips  
 

Complete global analysis of a two-scale network SIRS epidemic dynamic model with distributed delay and random perturbations

Divine Wanduku

Applied Mathematics and Computation, 2017, vol. 294, issue C, 49-76

Abstract: A stochastic SIRS epidemic dynamic model with distributed time delay for vector-borne diseases in two-scale network structured populations is presented. The distributed delay accounts for the varying incubation period of the disease. Furthermore, the disease dynamics is influenced by random environmental perturbations in the disease transmission process as well as the two-scale human mobility process. The basic reproduction numbers at three human–vector contact levels in the two-scale population are computed, and the results for the stochastic asymptotic stability of the equilibria are presented. Moreover, the asymptotic stability results are exhibited in several real life scenarios and the significance of the results are presented. Numerical simulation results are presented.

Keywords: Disease-free steady state; Stochastic asymptotic stability; Threshold value; Lyapunov functional technique; Intra- and inter-regional visiting times (search for similar items in EconPapers)
Date: 2017
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316305616
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:294:y:2017:i:c:p:49-76

DOI: 10.1016/j.amc.2016.09.001

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 (repec@elsevier.com).

 
Page updated 2024-12-28
Handle: RePEc:eee:apmaco:v:294:y:2017:i:c:p:49-76