Backward Bifurcation of an Epidemic Model with Infectious Force in Infected and Immune Period and Treatment
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
An epidemic model with infectious force in infected and immune period and treatment rate of infectious individuals is proposed to understand the effect of the capacity for treatment of infective on the disease spread.
It is assumed that treatment rate is proportional to the number of infective below the capacity and is constant when the number of infective is greater than the capacity.
It is proved that the existence and stability of equilibria for the model is not only related to the basic reproduction number but also the capacity for treatment of infective.
It is found that a backward bifurcation occurs if the capacity is small.
It is also found that there exist bistable endemic equilibria if the capacity is low.
American Psychological Association (APA)
Xue, Yakui& Wang, Junfeng. 2012. Backward Bifurcation of an Epidemic Model with Infectious Force in Infected and Immune Period and Treatment. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-487969
Modern Language Association (MLA)
Xue, Yakui& Wang, Junfeng. Backward Bifurcation of an Epidemic Model with Infectious Force in Infected and Immune Period and Treatment. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-487969
American Medical Association (AMA)
Xue, Yakui& Wang, Junfeng. Backward Bifurcation of an Epidemic Model with Infectious Force in Infected and Immune Period and Treatment. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-487969
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487969