Global stability of an anthrax model with environmental decontamination and time delay
type: Item
instance of: scholarly article
title: Global stability of an anthrax model with environmental decontamination and time delay
zbMATH Open document ID: 1418.92184
DOI: 10.1155/2015/573146
author: Steady Mushayabasa
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: Anthrax occurs worldwide and is associated with sudden death of cattle and sheep. This paper considers an epidemic model of anthrax in animal population, only. The susceptible animal is assumed to be infected, only, through ingestion of the disease causing pathogens. The proposed model incorporates time delay and environmental decontamination by humans. The time delay represents the period an infected animal needs to succumb to anthrax-related death. By constructing suitable Lyapunov functionals, we demonstrate that the global dynamics of this model fully hinges on whether the associated reproductive number is greater or less than unity. The effectiveness of environmental decontamination on eradication of anthrax in the community is explored through the reproductive number.
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7025407
Wikidata QID: Q59105999
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/573146
OpenAlex ID: W2157751653
cites work: Anthrax epizootic and migration: persistence or extinction
cites work: Q4462600
cites work: Q4141027
description: scientific article; zbMATH DE number 7025407