Rich Dynamics of a Brucellosis Model with Transport

Rich Dynamics of a Brucellosis Model with Transport

Brucellosis is one of the major infectious diseases in China. In this study, we consider an SI model of animal brucellosis with transport. The basic reproduction number ℛ0 is obtained, and the stable state of the equilibria is analyzed. Numerical simulation shows that different initial values have a...

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Main Authors: Juan Liang, Zhirong Zhao, Can Li
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/5050393
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spelling doaj-4a72692ddd4942e297a07bbe67398d702020-11-25T03:41:11ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/50503935050393Rich Dynamics of a Brucellosis Model with TransportJuan Liang0Zhirong Zhao1Can Li2Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, ChinaDepartment of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, ChinaDepartment of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, ChinaBrucellosis is one of the major infectious diseases in China. In this study, we consider an SI model of animal brucellosis with transport. The basic reproduction number ℛ0 is obtained, and the stable state of the equilibria is analyzed. Numerical simulation shows that different initial values have a great influence on results of the model. In addition, the sensitivity analysis of ℛ0 with respect to different parameters is analyzed. The results reveal that the transport has dual effects. Specifically, transport can lead to increase in the number of infected animals; besides, transport can also reduce the number of infected animals in a certain range. The analysis shows that the number of infected animals can be controlled if animals are transported reasonably.http://dx.doi.org/10.1155/2020/5050393
collection DOAJ
language English
format Article
sources DOAJ
author Juan Liang
Zhirong Zhao
Can Li
spellingShingle Juan Liang
Zhirong Zhao
Can Li
Rich Dynamics of a Brucellosis Model with Transport
Complexity
author_facet Juan Liang
Zhirong Zhao
Can Li
author_sort Juan Liang
title Rich Dynamics of a Brucellosis Model with Transport
title_short Rich Dynamics of a Brucellosis Model with Transport
title_full Rich Dynamics of a Brucellosis Model with Transport
title_fullStr Rich Dynamics of a Brucellosis Model with Transport
title_full_unstemmed Rich Dynamics of a Brucellosis Model with Transport
title_sort rich dynamics of a brucellosis model with transport
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description Brucellosis is one of the major infectious diseases in China. In this study, we consider an SI model of animal brucellosis with transport. The basic reproduction number ℛ0 is obtained, and the stable state of the equilibria is analyzed. Numerical simulation shows that different initial values have a great influence on results of the model. In addition, the sensitivity analysis of ℛ0 with respect to different parameters is analyzed. The results reveal that the transport has dual effects. Specifically, transport can lead to increase in the number of infected animals; besides, transport can also reduce the number of infected animals in a certain range. The analysis shows that the number of infected animals can be controlled if animals are transported reasonably.
url http://dx.doi.org/10.1155/2020/5050393
work_keys_str_mv AT juanliang richdynamicsofabrucellosismodelwithtransport
AT zhirongzhao richdynamicsofabrucellosismodelwithtransport
AT canli richdynamicsofabrucellosismodelwithtransport
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