Stability Analysis of Rotavirus Model with Co-infection and Control Measures
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Date
2021-06
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Science, Technology, Mathematics and Education
Abstract
A mathematical model of the spread of rotavirus diarrhea based on a continuous time ordinary differential equation modeled two viral strains of influenza is presented. The existing influenza models is extended to include the case of co-infection when a single individual is infected with both strains of rotavirus and to explore the effects of maternal antibodies, vaccination and seasonality. The model exhibits two equilibria, disease-free equilibrium (DFE) and the endemic equilibrium (EE). Equilibrium analysis is conducted in the case with constant controls for both epidemic and endemic dynamics. By the use of Lyapunov function, it is shown that if the effective reproduction number, R0<1, the DFE is globally asymptotically stable and in such a case, the EE is unstable. Moreover, if R0 >1, the endemic equilibrium is globally asymptotically stable.
Description
Keywords
Co-infection, Maternal Antibodies, Rotavirus Rotarix, Viral strains, Seasonality, Vaccination
Citation
R. O. Olayiwola, F. A. Kuta, F. A. Oguntolu, O. N. Emuoyibofarhe, & F. T. Olayiwola (2021). Stability Analysis of Rotavirus Model with Co-infection and Control Measures. Journal of Science, Technology, Mathematics and Education (JOSTMED). 17(2): 1-16.