Spatial dynamics of the SEI model for rabies with culling effect

Spatial dynamics of the SEI model for rabies with culling effect

In order to explore the impact of targeted culling on the transmission of rabies,we investigate a susceptible-exposed-infected(SEI) model for rabies with culling effect.The basic reproduction number is introduced by using corresponding eigenvalue problem,and we establish the stability of equilibrium...

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Main Authors: MENG Yue, ZHU Jiazhen, LIN Zhigui
Format: Article
Language:English
Published: Academic Journals Center of Shanghai Normal University 2019-04-01
Series:Journal of Shanghai Normal University (Natural Sciences)
Subjects:
susceptible-exposed-infected(SEI) model for rabies;culling effect;basic reproduction number;stability
Online Access:http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190201
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spelling doaj-6a275005430b4334ae3516c899755bcc2020-11-25T02:14:20ZengAcademic Journals Center of Shanghai Normal UniversityJournal of Shanghai Normal University (Natural Sciences)1000-51371000-51372019-04-0148211311910.3969/J.ISSN.1000-5137.2019.02.001201902000001Spatial dynamics of the SEI model for rabies with culling effectMENG Yue0ZHU Jiazhen1LIN Zhigui2School of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, ChinaSchool of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, ChinaSchool of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, ChinaIn order to explore the impact of targeted culling on the transmission of rabies,we investigate a susceptible-exposed-infected(SEI) model for rabies with culling effect.The basic reproduction number is introduced by using corresponding eigenvalue problem,and we establish the stability of equilibrium based on this number and upper and lower solutions method.Our results show that culling plays an important role in the prevention and control of rabies.http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190201susceptible-exposed-infected(SEI) model for rabies;culling effect;basic reproduction number;stability
collection DOAJ
language English
format Article
sources DOAJ
author MENG Yue
ZHU Jiazhen
LIN Zhigui
spellingShingle MENG Yue
ZHU Jiazhen
LIN Zhigui
Spatial dynamics of the SEI model for rabies with culling effect
Journal of Shanghai Normal University (Natural Sciences)
susceptible-exposed-infected(SEI) model for rabies;culling effect;basic reproduction number;stability
author_facet MENG Yue
ZHU Jiazhen
LIN Zhigui
author_sort MENG Yue
title Spatial dynamics of the SEI model for rabies with culling effect
title_short Spatial dynamics of the SEI model for rabies with culling effect
title_full Spatial dynamics of the SEI model for rabies with culling effect
title_fullStr Spatial dynamics of the SEI model for rabies with culling effect
title_full_unstemmed Spatial dynamics of the SEI model for rabies with culling effect
title_sort spatial dynamics of the sei model for rabies with culling effect
publisher Academic Journals Center of Shanghai Normal University
series Journal of Shanghai Normal University (Natural Sciences)
issn 1000-5137
1000-5137
publishDate 2019-04-01
description In order to explore the impact of targeted culling on the transmission of rabies,we investigate a susceptible-exposed-infected(SEI) model for rabies with culling effect.The basic reproduction number is introduced by using corresponding eigenvalue problem,and we establish the stability of equilibrium based on this number and upper and lower solutions method.Our results show that culling plays an important role in the prevention and control of rabies.
topic susceptible-exposed-infected(SEI) model for rabies;culling effect;basic reproduction number;stability
url http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190201
work_keys_str_mv AT mengyue spatialdynamicsoftheseimodelforrabieswithcullingeffect
AT zhujiazhen spatialdynamicsoftheseimodelforrabieswithcullingeffect
AT linzhigui spatialdynamicsoftheseimodelforrabieswithcullingeffect
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