Open Access
ARTICLE
Analysis of Pneumonia Model via Efficient Computing Techniques
Kamaledin Abodayeh1, Ali Raza2,3,*, Muhammad Rafiq4, Muhammad Shoaib Arif5, Muhammad Naveed5, Zunir Zeb3, Syed Zaheer Abbas3, Kiran Shahzadi3, Sana Sarwar3, Qasim Naveed3, Badar Ul Zaman3, Muhammad Mohsin6
1 Department of Mathematics and General Sciences, Prince Sultan University Riyadh, 66833, Saudi Arabia
2 Department of Mathematics, Govt. Maulana Zafar Ali Khan Graduate College Wazirabad, 52000, Punjab Higher Education Department (PHED), Lahore, 54000, Pakistan
3 Department of Mathematics, National College of Business Administration and Economics Lahore, 54660, Pakistan
4 Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, 54500, Pakistan
5 Department of Mathematics, Air University, Islamabad, 44000, Pakistan
6 Department of Mathematics, Technische Universitat Chemnitz, 62 09111, Germany
* Corresponding Author: Ali Raza. Email:
(This article belongs to this Special Issue: Emerging Trends and Real-World Applications of Intelligent Computing Techniques)
Computers, Materials & Continua 2022, 70(3), 6073-6088. https://doi.org/10.32604/cmc.2022.020732
Received 06 June 2021; Accepted 20 August 2021; Issue published 11 October 2021
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.
Keywords
Cite This Article
K. Abodayeh, A. Raza, M. Rafiq, M. Shoaib Arif, M. Naveed
et al., "Analysis of pneumonia model via efficient computing techniques,"
Computers, Materials & Continua, vol. 70, no.3, pp. 6073–6088, 2022. https://doi.org/10.32604/cmc.2022.020732
Citations