Dynamical Analysis on the Transmission of Pertussis with Maternally Derived Immunity
Aisha Aliyu Yakubu1, Farah Aini Abdullah1, Ahmad Izani Md Ismail1 & Yazariah Mohd Yatim1 Show affiliations
- Universiti Sains Malaysia, Malaysia
Journal of Mathematics and Statistics, Volume 16, Issue 1, pp. 104–112 · doi.org/10.3844/jmssp.2020.104.112
Abstract
A susceptible-infected-recovered compartmental model incorporating maternally derived immunity compartment is analyzed in this study. The stability of the pertussis-disease-free and endemic equilibrium is studied. The basic reproduction number is obtained and its behavior analyzed by varying parameters. Numerical simulations indicated that when the waning parameter is increased, the frequency at which the population attains stability varies. However, the infected population does not go extinct even at equilibrium.
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Yakubu, A. A., Abdullah, F. A., Md Ismail, A. I. & Yatim, Y. M. (2020). Dynamical Analysis on the Transmission of Pertussis with Maternally Derived Immunity. Journal of Mathematics and Statistics, 16(1), 104–112. https://doi.org/10.3844/jmssp.2020.104.112
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