A diffusive epidemic model with criss-cross dynamics
type: Item
instance of: scholarly article
title: A diffusive epidemic model with criss-cross dynamics
zbMATH Open document ID: 0804.35056
author: V. Pereyra
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-01-15T00:00:00Z
review text: The authors study a diffusive epidemic model with ``criss-cross'' dynamics, i.e. a model with two independent populations where individuals of either population can only become infected by contact with infected individuals of the other population. The populations are assumed to live in a bounded isolated domain with smooth boundary. Global existence, nonnegativity and \(L^ \infty\)-boundedness is established for the solution of the model, and its asymptotic behavior is studied. In particular, it is shown that under fairly general assumptions both populations will survive the epidemic.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 635933
zbMATH Keywords: criss-cross dynamics
zbMATH Keywords: diffusive epidemic model
reviewed by: Reinhard Redlinger
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1209
OpenAlex ID: W2092757911
DOI: 10.1006/JMAA.1994.1209
description: scientific article; zbMATH DE number 635933