Stability of a Mathematical Model of Malaria Transmission with Relapse
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A more realistic mathematical model of malaria is introduced, in which we not only consider the recovered humans return to the susceptible class, but also consider the recovered humans return to the infectious class.
The basic reproduction number R 0 is calculated by next generation matrix method.
It is shown that the disease-free equilibrium is globally asymptotically stable if R 0 ≤ 1 ,and the system is uniformly persistence if R 0 > 1 .
Some numerical simulations are also given to explain our analytical results.
Our results show that to control and eradicate the malaria, it is very necessary for the government to decrease the relapse rate and increase the recovery rate.
American Psychological Association (APA)
Huo, Hai-Feng& Qiu, Guang-Ming. 2014. Stability of a Mathematical Model of Malaria Transmission with Relapse. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033662
Modern Language Association (MLA)
Huo, Hai-Feng& Qiu, Guang-Ming. Stability of a Mathematical Model of Malaria Transmission with Relapse. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1033662
American Medical Association (AMA)
Huo, Hai-Feng& Qiu, Guang-Ming. Stability of a Mathematical Model of Malaria Transmission with Relapse. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033662
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033662