Mathematical Model of Pertussis and Pneumonia Co-Infection in Infants with Maternally Derived Immunity
| Autor: | Aisha Aliyu Yakubu, Farah Aini Abdullah, Yazariah Mohd Yatim |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Sains Malaysiana. 51:2197-2209 |
| ISSN: | 2735-0118 0126-6039 |
| DOI: | 10.17576/jsm-2022-5107-21 |
| Popis: | The transmission dynamics of a pertussis-pneumonia co-infection model is analyzed. The model takes into account temporary immunity of infected infants and includes a maternally derived immunity compartment. The basic reproduction number of the co-infected model is obtained using the next generation matrix, and stability analysis is carried out. The model exhibits four equilibria, namely, the pertussis-free equilibrium, the pneumonia-free equilibrium, the co-infection-free equilibrium and co-infection endemic equilibrium. Subsequently, the local stability of the co-infection-free equilibrium is analyzed and is shown to be locally asymptotically stable. Similarly, by constructing a suitable Lyapunov function, the co-infection endemic equilibrium is shown to be globally asymptotically stable. Numerical simulations are carried out to illustrate the validity of these results. |
| Databáze: | OpenAIRE |
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