Stability Analysis of a Vector-Borne Disease with Variable Human Population
Joint Authors
Lashari, Abid Ali
Jung, Il Hyo
Seo, Young Il
Kim, Byul Nim
Ozair, Muhammad
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A mathematical model of a vector-borne disease involving variable human population is analyzed.
The varying population size includes a term for disease-related deaths.
Equilibria and stability are determined for the system of ordinary differential equations.
If R0≤1, the disease-“free” equilibrium is globally asymptotically stable and the disease always dies out.
If R0>1, a unique “endemic” equilibrium is globally asymptotically stable in the interior of feasible region and the disease persists at the “endemic” level.
Our theoretical results are sustained by numerical simulations.
American Psychological Association (APA)
Ozair, Muhammad& Lashari, Abid Ali& Jung, Il Hyo& Seo, Young Il& Kim, Byul Nim. 2013. Stability Analysis of a Vector-Borne Disease with Variable Human Population. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-461029
Modern Language Association (MLA)
Ozair, Muhammad…[et al.]. Stability Analysis of a Vector-Borne Disease with Variable Human Population. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-461029
American Medical Association (AMA)
Ozair, Muhammad& Lashari, Abid Ali& Jung, Il Hyo& Seo, Young Il& Kim, Byul Nim. Stability Analysis of a Vector-Borne Disease with Variable Human Population. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-461029
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461029
