Mathematical Analysis of a General Two-Patch Model of Tuberculosis Disease with Lost Sight Individuals
Joint Authors
Tewa, Jean Jules
Bah, Alassane
Laohombé, Abdias
Ngningone Eya, Isabelle
Bowong, Samuel
Oukouomi Noutchie, Suares Clovis
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-17
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A two-patch model, SEi1,…,EinIiLi, i=1,2, is used to analyze the spread of tuberculosis, with an arbitrary number n of latently infected compartments in each patch.
A fraction of infectious individuals that begun their treatment will not return to the hospital for the examination of sputum.
This fact usually occurs in sub-Saharan Africa, due to many reasons.
The model incorporates migrations from one patch to another.
The existence and uniqueness of the associated equilibria are discussed.
A Lyapunov function is used to show that when the basic reproduction ratio is less than one, the disease-free equilibrium is globally and asymptotically stable.
When it is greater than one, there exists at least one endemic equilibrium.
The local stability of endemic equilibria can be illustrated using numerical simulations.
Numerical simulation results are provided to illustrate the theoretical results and analyze the influence of lost sight individuals.
American Psychological Association (APA)
Laohombé, Abdias& Ngningone Eya, Isabelle& Tewa, Jean Jules& Bah, Alassane& Bowong, Samuel& Oukouomi Noutchie, Suares Clovis. 2014. Mathematical Analysis of a General Two-Patch Model of Tuberculosis Disease with Lost Sight Individuals. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033644
Modern Language Association (MLA)
Laohombé, Abdias…[et al.]. Mathematical Analysis of a General Two-Patch Model of Tuberculosis Disease with Lost Sight Individuals. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1033644
American Medical Association (AMA)
Laohombé, Abdias& Ngningone Eya, Isabelle& Tewa, Jean Jules& Bah, Alassane& Bowong, Samuel& Oukouomi Noutchie, Suares Clovis. Mathematical Analysis of a General Two-Patch Model of Tuberculosis Disease with Lost Sight Individuals. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033644
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033644