Open Access System for Information Sharing

Login Library

 

Article
Cited 142 time in webofscience Cited 143 time in scopus
Metadata Downloads

A SIS reaction-diffusion-advection model in a low-risk and high-risk domain SCIE SCOPUS

Title
A SIS reaction-diffusion-advection model in a low-risk and high-risk domain
Authors
Ge, JKim, KILin, ZGZhu, HP
Date Issued
2015-11-15
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Abstract
A simplified SIS model is proposed and investigated to understand the impact of spatial heterogeneity of environment and advection on the persistence and eradication of an infectious disease. The free boundary is introduced to model the spreading front of the disease. The basic reproduction number associated with the diseases in the spatial setting is introduced. Sufficient conditions for the disease to be eradicated or to spread are given. Our result shows that if the spreading domain is high-risk at some time, the disease will continue to spread till the whole area is infected; while if the spreading domain is low-risk, the disease may be vanishing or keep spreading depending on the expanding capability and the initial number of the infective individuals. The spreading speeds are also given when spreading happens, numerical simulations are presented to illustrate the impacts of the advection and the expanding capability on the spreading fronts. (C) 2015 Elsevier Inc. All rights reserved.
URI
https://oasis.postech.ac.kr/handle/2014.oak/35401
DOI
10.1016/J.JDE.2015.06.035
ISSN
0022-0396
Article Type
Article
Citation
JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 259, no. 10, page. 5486 - 5509, 2015-11-15
Files in This Item:
There are no files associated with this item.

qr_code

  • mendeley

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Related Researcher

Researcher

김광익KIM, KWANG IK
Dept of Mathematics
Read more

Views & Downloads

Browse