Complete chaos in a simple epidemiological model
type: Item
instance of: scholarly article
title: Complete chaos in a simple epidemiological model
zbMATH Open document ID: 0582.92022
DOI: 10.1007/BF00276961
author: Thomas D. Rogers
author: Zhuo-Cheng Yang
author: Lee-Wah Yip
published in: Journal of Mathematical Biology
publication date: 1986-01-01T00:00:00Z
review text: A first-order difference equation which constitutes a simple model for a lethal parasite-host interaction is studied. Completing a study initiated by \textit{R. M. May} and \textit{R. M. Anderson} [Epidemiology and genetics in the coevolution of parasites and hosts. Philos. Trans. Roy. Soc. B 219, 281-313 (1983)], the dynamics are shown to be completely chaotic.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 26D10
zbMATH DE Number: 3932851
zbMATH Keywords: chaos
zbMATH Keywords: differential inequality
zbMATH Keywords: epidemiology
zbMATH Keywords: lethal parasite-host interaction
Wikidata QID: Q52429696
MaRDI profile type: Publication
cites work: Q5847520
cites work: Epidemiology and genetics in the coevolution of parasites and hosts
cites work: Global stability in population models
cites work: Iterates of maps on an interval
cites work: Chaos in the cubic mapping
full work available at URL: https://doi.org/10.1007/bf00276961
OpenAlex ID: W1983109198
description: scientific article; zbMATH DE number 3932851