Mathematical models for influenza a virus and pneumococcus :

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dc.contributor.author Mbabazi, Fulgensia Kamugisha
dc.date.accessioned 2022-11-07T13:08:31Z
dc.date.available 2022-11-07T13:08:31Z
dc.date.issued 2019-04
dc.identifier.citation Kamugisha, M. (2019). Mathematical Models for Influenza a Virus and Pneumococcus: Within-Host and Between-Host Infection (Doctoral dissertation, Pan African University Institute for Basic Sciences, Technology and Innovation). en_US
dc.identifier.uri https://doi.org/10.60682/5znk-yk24
dc.description Dissertation en_US
dc.description.abstract Infectious diseases have become problematic throughout the world, threatening individuals who come into contact with pathogens responsible for transmitting diseases. Pneumoccocal pneumonia, a secondary bacterial infection follows an influenza A infection, responsible for morbidity and mortality in children, the elderly, and immuno–comprised groups. The aims of this Thesis are to; develop a mathematical model for within-host co-infection of influenza A virus and pneumococcus, model between–host pneumococcal pneumonia in order to determine the effect of time delays due to latency and seeking medical care, and study the effect of antibiotic resistance awareness and saturated treatment in the control of pneumococcal pneumonia. Analysis of the stability of steady states of influenza A virus and pneumococcal co-infection, pneumococcal pneumonia with time delays, and antibiotic resistance awareness is done. The graph theoretic method, combined linear and quadratic Lyapunov functions, and the Goh–Voltera Lyapunov function are used to get suitable Lyapunov functions for global stability of steady states. The results show that the endemic equilibrium of pneumococcal pneumonia is locally stable without delays and stable if the delays are under conditions. The results suggest that as the respective delays exceed some critical value past the endemic equilibrium, the system loses stability and yields Hopf–bifurcation. The results of influenza A virus and pneumococcal co-infection show that there exists a biologically important steady state where the two pathogens of unequal strength co-exist and replace each other in the epithelial cell population when the pathogen fitness for each infection exceeds unity. The impact of the influenza A virus onto pneumococcus and vice–versa yields a bifurcation state. The results show that the presence of antibiotic resistance awareness and treatment during the spread of pneumococcal pneumonia drastically reduces the basic reproduction number R0 to less than unity, hence the disease could be eradicated. en_US
dc.description.sponsorship Pan African University Institute en_US
dc.language.iso en en_US
dc.publisher Busitema University. en_US
dc.subject Mathematical models en_US
dc.subject Influenza en_US
dc.subject Virus en_US
dc.subject Pneumococcus en_US
dc.subject Within-host infection en_US
dc.subject Between–host infection en_US
dc.title Mathematical models for influenza a virus and pneumococcus : en_US
dc.title.alternative within-host and between–host infection. en_US
dc.type Thesis en_US


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