Global Dynamic Behavior of a Multigroup Cholera Model with Indirect Transmission
Joint Authors
Sun, Gui-Quan
Li, Ming-Tao
Zhang, Juan
Jin, Zhen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
For a multigroup cholera model with indirect transmission, the infection for a susceptible person is almost invariably transmitted by drinking contaminated water in which pathogens, V.
cholerae, are present.
The basic reproduction number ℛ0 is identified and global dynamics are completely determined by ℛ0.
It shows that ℛ0 is a globally threshold parameter in the sense that if it is less than one, the disease-free equilibrium is globally asymptotically stable; whereas if it is larger than one, there is a unique endemic equilibrium which is global asymptotically stable.
For the proof of global stability with the disease-free equilibrium, we use the comparison principle; and for the endemic equilibrium we use the classical method of Lyapunov function and the graph-theoretic approach.
American Psychological Association (APA)
Li, Ming-Tao& Sun, Gui-Quan& Zhang, Juan& Jin, Zhen. 2013. Global Dynamic Behavior of a Multigroup Cholera Model with Indirect Transmission. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-491859
Modern Language Association (MLA)
Li, Ming-Tao…[et al.]. Global Dynamic Behavior of a Multigroup Cholera Model with Indirect Transmission. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-491859
American Medical Association (AMA)
Li, Ming-Tao& Sun, Gui-Quan& Zhang, Juan& Jin, Zhen. Global Dynamic Behavior of a Multigroup Cholera Model with Indirect Transmission. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-491859
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491859