TY  - JOUR
AU  - Yakubu, Aisha Aliyu 
AU  - Abdullah, Farah Aini 
AU  - Md Ismail, Ahmad Izani 
AU  - Yatim, Yazariah Mohd 
PY  - 2020
TI  - Dynamical Analysis on the Transmission of Pertussis with Maternally Derived Immunity
JF  - Journal of Mathematics and Statistics
VL  - 16
IS  - 1
DO  - 10.3844/jmssp.2020.104.112
UR  - https://thescipub.com/abstract/jmssp.2020.104.112
AB  - 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.