Modeling the transmission dynamics of delayed pneumonia-like diseases with a sensitivity of parameters

Abstract

Pneumonia is a highly transmitted disease in children. According to the World Health Organization (WHO), the most affected regions include South Asia and sub-Saharan Africa. 15% deaths of children are due to pneumonia. In 2017, 0.88 million children were killed under the age of five years. An analysis of pneumonia disease is performed with the help of a delayed mathematical modelling technique. The epidemiological system contemplates subpopulations of susceptible, carriers, infected and recovered individuals, along with nonlinear interactions between the members of those subpopulations. The positivity and the boundedness of the ongoing problem for nonnegative initial data are thoroughly proved. The system possesses pneumonia-free and pneumonia existing equilibrium points, whose stability is studied rigorously. Moreover, the numerical simulations confirm the validity of these theoretical results.

Dynamical Analysis on a Malaria Model with Relapse Preventive Treatment and Saturated Fumigation

“…To conduct further analysis on the qualitative behaviour of our model, it is important to determine the related basic reproduction number of our proposed model. In many epidemiological models, basic reproduction number holds an important role in determining that the diseases die out or exist in the population [34][35][36][37][38]. Basic reproduction number is defined as the expected number of secondary cases caused by one primary case during infection period in a completely susceptible population [39,40].…”

The Impact of Protection Measures and Treatment on Pneumonia Infection: A Mathematical Model Analysis supported by Numerical Simulation

“…According to a 2019 WHO report pneumonia affects children and families everywhere [7, 17] and it is the single largest infectious disease which induces 740 180 under the age of 5 children death in 2019, being a cause of 14% of all under five years old children death but 22% of all deaths. World Health Organization (WHO), 2019 reported that the most affected regions by pneumonia infection are South Asia and sub-Saharan Africa and 15% of pediatric deaths can be caused by pneumonia throughout the World [18]. In our world, from 9.5 million annual deaths, Pneumonia and other respiratory infections cause about 2 million child deaths yearly in developing countries [14].…”