Dynamics of a reaction-diffusion SIRI model with relapse and free boundary.

free boundary reaction-diffusion equation relapse spreading-vanishing dichotomy

Journal

Mathematical biosciences and engineering : MBE
ISSN: 1551-0018
Titre abrégé: Math Biosci Eng
Pays: United States
ID NLM: 101197794

Informations de publication

Date de publication:
10 12 2019
Historique:
entrez: 3 4 2020
pubmed: 3 4 2020
medline: 3 4 2020
Statut: ppublish

Résumé

This paper is concerned with the free boundary problem for a reaction-diffusion SIRI model with relapse and bilinear incidence rate. After studying the (global) existence and uniqueness of solutions, we provide some sufficient conditions on the disease spreading-vanishing dichotomies for both cases with and without relapse.

Identifiants

DOI: 10.3934/mbe.2020087 PMID: 32233601
pubmed: 32233601
doi: 10.3934/mbe.2020087
doi:

Types de publication

Journal Article Research Support, Non-U.S. Gov't

Langues

eng

Sous-ensembles de citation

IM

Pagination

1659-1676

Auteurs

Qian Ding (Q)

School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China.

Yun Feng Liu (YF)

School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China.

Yu Ming Chen (YM)

Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada.

Zhi Ming Guo (ZM)

School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China.

Classifications MeSH