@Article{cmc.2022.020732,
AUTHOR = {Kamaledin Abodayeh, Ali Raza, Muhammad Rafiq, Muhammad Shoaib Arif, Muhammad Naveed, Zunir Zeb, Syed Zaheer Abbas, Kiran Shahzadi, Sana Sarwar, Qasim Naveed, Badar Ul Zaman, Muhammad Mohsin},
TITLE = {Analysis of Pneumonia Model via Efficient Computing Techniques},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {70},
YEAR = {2022},
NUMBER = {3},
PAGES = {6073--6088},
URL = {http://www.techscience.com/cmc/v70n3/44979},
ISSN = {1546-2226},
ABSTRACT = {Pneumonia is a highly transmissible disease in children. According
to the World Health Organization (WHO), the most affected regions include
south Asia and sub-Saharan Africa. Worldwide, 15% of pediatric deaths can
be attributed to pneumonia. Computing techniques have a significant role
in science, engineering, and many other fields. In this study, we focused on
the efficiency of numerical techniques via computer programs. We studied
the dynamics of the pneumonia-like infections of epidemic models using
numerical techniques. We discuss two types of analysis: dynamical and numerical. The dynamical analysis included positivity, boundedness, local stability,
reproduction number, and equilibria of the model. We also discuss well-known
computing techniques including Euler, Runge Kutta, and non-standard finite
difference (NSFD) for the model. The non-standard finite difference (NSFD)
technique shows convergence to the true equilibrium points of the model for
any time step size. However, Euler and Runge Kutta do not work well over
large time intervals. Computing techniques are the suitable tool for crosschecking the theoretical analysis of the model.},
DOI = {10.32604/cmc.2022.020732}
}