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Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis
Joint Authors
Zhang, Xueliang
Wang, Lei
Zhang, Liping
Kai, Wang
Wang, Kai
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-18
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A patch model for echinococcosis due to dogs migration is proposed to explore the effect of dogs migration among patches on the spread of echinococcosis.
We firstly define the basic reproduction number R 0 .
The mathematical results show that the dynamics of the model can be completely determined by R 0 .
If R 0 < 1 , the disease-free equilibrium is globally asymptotically stable.
When R 0 > 1 , the model is permanence and endemic equilibrium is globally asymptotically stable.
According to the simulations, it is shown that the larger diffusion of dogs from the lower epidemic areas to the higher prevalence areas can intensify the spread of echinococcosis.
However, the larger diffusion of dogs from the higher prevalence areas to the lower epidemic areas can reduce thespread and is beneficial for disease control.
American Psychological Association (APA)
Wang, Kai& Zhang, Xueliang& Kai, Wang& Wang, Lei& Zhang, Liping. 2014. Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1033847
Modern Language Association (MLA)
Wang, Kai…[et al.]. Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1033847
American Medical Association (AMA)
Wang, Kai& Zhang, Xueliang& Kai, Wang& Wang, Lei& Zhang, Liping. Analysis of a Patch Model for the Dynamical Transmission of Echinococcosis. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1033847
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033847