Mathematical model of schistosomiasis under flood in Anhui province
type: Item
instance of: scholarly article
title: Mathematical model of schistosomiasis under flood in Anhui province
zbMATH Open document ID: 1406.92612
DOI: 10.1155/2014/972189
author: Longxing Qi
author: Tingting Huang
author: Fengli Ye
author: Longzhi Jiang
author: Jing-An Cui
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Based on the real observation data in Tongcheng city, this paper established a mathematical model of schistosomiasis transmission under flood in Anhui province. The delay of schistosomiasis outbreak under flood was considered. Analysis of this model shows that the disease free equilibrium is locally asymptotically stable if the basic reproduction number is less than one. The stability of the unique endemic equilibrium may be changed under some conditions even if the basic reproduction number is larger than one. The impact of flood on the stability of the endemic equilibrium is studied and the results imply that flood can destabilize the system and periodic solutions can arise by Hopf bifurcation. Finally, numerical simulations are performed to support these mathematical results and the results are in accord with the observation data from Tongcheng Schistosomiasis Control Station.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 7023429
zbMATH Keywords: schistosomiasis transmission
zbMATH Keywords: flood
zbMATH Keywords: stability of endemic equilibrium
zbMATH Keywords: Hopf bifurcation
Wikidata QID: Q59043227
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/972189
OpenAlex ID: W2004778132
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description: scientific article; zbMATH DE number 7023429