The spatial spread and final size of the deterministic non-reducible n- type epidemic
type: Item
instance of: scholarly article
title: The spatial spread and final size of the deterministic non-reducible n- type epidemic
zbMATH Open document ID: 0539.92028
DOI: 10.1007/BF00277102
author: N. E. Zubov
published in: Journal of Mathematical Biology
publication date: 1984-01-01T00:00:00Z
review text: The authors consider an integrodifferential model for the spread of an epidemic involving n types of individuals. After giving an existence and uniqueness result for solutions, they study the asymptotic (long time) states. From their results they obtain conditions under which a major epidemic will or will not occur and the asymptotic states are characterized. The results are extended to the case of a spatial aspect with one or two dimensions.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 3858917
zbMATH Keywords: non-reducible n-type epidemic
zbMATH Keywords: measles
zbMATH Keywords: host-vector
zbMATH Keywords: carrier-borne
zbMATH Keywords: rabies
zbMATH Keywords: spatial spread
zbMATH Keywords: final size
zbMATH Keywords: pandemic theorem
zbMATH Keywords: existence and uniqueness result
zbMATH Keywords: asymptotic states
Wikidata QID: Q30413018
reviewed by: J. M. Cushing
MaRDI profile type: Publication
cites work: Thresholds and travelling waves for the geographical spread of infection
cites work: Studies on a convolution inequality
cites work: Q3254327
cites work: Q5627593
cites work: Wave solutions for the deterministic non-reducible n-type epidemic
cites work: A model for the spatial spread of an epidemic
full work available at URL: https://doi.org/10.1007/bf00277102
OpenAlex ID: W2072814410
description: scientific article; zbMATH DE number 3858917