Mathematical Analysis of TB Model with Vaccination and Saturated Incidence Rate
Joint Authors
Mengistu, Ashenafi Kelemu
Witbooi, Peter J.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The model system of ordinary differential equations considers two classes of latently infected individuals, with different risk of becoming infectious.
The system has positive solutions.
By constructing a Lyapunov function, it is proved that if the basic reproduction number is less than unity, then the disease-free equilibrium point is globally asymptotically stable.
The Routh-Hurwitz criterion is used to prove the local stability of the endemic equilibrium when R0>1.
The model is illustrated using parameters applicable to Ethiopia.
A variety of numerical simulations are carried out to illustrate our main results.
American Psychological Association (APA)
Mengistu, Ashenafi Kelemu& Witbooi, Peter J.. 2020. Mathematical Analysis of TB Model with Vaccination and Saturated Incidence Rate. Abstract and Applied Analysis،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1119915
Modern Language Association (MLA)
Mengistu, Ashenafi Kelemu& Witbooi, Peter J.. Mathematical Analysis of TB Model with Vaccination and Saturated Incidence Rate. Abstract and Applied Analysis No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1119915
American Medical Association (AMA)
Mengistu, Ashenafi Kelemu& Witbooi, Peter J.. Mathematical Analysis of TB Model with Vaccination and Saturated Incidence Rate. Abstract and Applied Analysis. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1119915
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119915