![](/images/graphics-bg.png)
Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment
Joint Authors
Mbabazi, Fulgensia Kamugisha
Mugisha, Joseph Y. T.
Kimathi, Mark
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Pneumocccal pneumonia, a secondary bacterial infection that follows influenza A infection, is responsible for morbidity and mortality in children, elderly, and immunocomprised groups.
A mathematical model to study the global stability of pneumococcal pneumonia with awareness and saturated treatment is presented.
The basic reproduction number, R0, is computed using the next generation matrix method.
The results show that if R0<1, the disease-free steady state is locally asymptotically stable; thus, pneumococcal pneumonia would be eradicated in the population.
On the other hand, if R0>1 the endemic steady state is globally attractive; thus, the disease would persist in the population.
The quadratic-linear and Goh–Voltera Lyapunov functionals approach are used to prove the global stabilities of the disease-free and endemic steady states, respectively.
The sensitivity analysis of R0 on model parameters shows that, it is positively sensitive to the maximal effective rate before antibiotic resistance awareness, rate of relapse encountered in administering treatment, and loss of information by aware susceptible individuals.
Contrarily, the sensitivity analysis of R0 on model parameters is negatively sensitive to recovery rate due to treatment and the rate at which unaware susceptible individuals become aware.
The numerical analysis of the model shows that awareness about antibiotic resistance and treatment plays a significant role in the control of pneumococcal pneumonia.
American Psychological Association (APA)
Mbabazi, Fulgensia Kamugisha& Mugisha, Joseph Y. T.& Kimathi, Mark. 2020. Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1174510
Modern Language Association (MLA)
Mbabazi, Fulgensia Kamugisha…[et al.]. Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment. Journal of Applied Mathematics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1174510
American Medical Association (AMA)
Mbabazi, Fulgensia Kamugisha& Mugisha, Joseph Y. T.& Kimathi, Mark. Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1174510
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174510