| Autor: |
Yakubu, Aisha Aliyu, Abdullah, Farah Aini, Ismail, Ahmad Izani Md, Yatim, Yazariah Mohd |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2021, Vol. 2423 Issue 1, p1-8, 8p |
| Abstrakt: |
In this paper, the global stability analysis of the pertussis model with maternally derived immunity is studied. The model is qualitatively analysed to investigate the asymptotic behavior of the model with respect to the equilibria. Using the Lyapunov function method, the pertussis-free equilibrium is determined to be globally asymptotically stable when the associated basic reproduction number is less than unity. Furthermore, the study is also extended to prove the existence of a globally asymptotically stable pertussis endemic equilibrium using a suitable nonlinear Lyapunov function. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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