Dynamical Analysis on the Transmission of Pertussis with Maternally Derived Immunity
- 1 Universiti Sains Malaysia, Malaysia
Published On: 26 June 2020
Copyright: © 2020 Aisha Aliyu Yakubu, Farah Aini Abdullah, Ahmad Izani Md Ismail and Yazariah Mohd Yatim. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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.
- Basic Reproduction Number
- Stability Analysis
- Numerical Simulations