Dynamical analysis of pertussis with maternally derived immunity.

Autor: Yakubu, Aisha Aliyu, Abdullah, Farah Aini, Ismail, Ahmad Izani Md, Yatim, Yazariah Mohd, Ibrahim, Siti Nur Iqmal, Ibrahim, Noor Akma, Ismail, Fudziah, Lee, Lai Soon, Leong, Wah June, Midi, Habshah, Wahi, Nadihah
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Zdroj: AIP Conference Proceedings; 2020, Vol. 2266 Issue 1, p1-7, 7p
Abstrakt: Pertussis (whooping cough) is a high incidence contagious respiratory disease which continues to be a major public health concern in both developed and developing countries. Its reemergence has been particularly recorded despite high rates of vaccination. In this paper, a nonlinear mathematical model for the transmission dynamics of pertussis (whooping cough) with maternally derived immunity is studied. The basic reproduction number for both disease free and endemic equilibrium is obtained using the next generation method. The stability of the equilibrium points is analyzed and bifurcation theory is used to observe the behavior of the stability of the system. Numerical simulations of the nonlinear differential equations were carried out using Mathematica and relevant results are displayed. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index