Analysis of Pneumonia Model via Efficient Computing Techniques

• DOI: 10.32604/cmc.2022.020732
• Publication Date: 2021-10-11T07:03:49Z
• Authors: 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
• Keywords: Runge–Kutta methods; Euler method; Finite difference

Pneumonia is a highly transmissible disease in children. According to the World Health Organization (WHO), most affected regions include south Asia and sub-Saharan Africa. Worldwide, 15% of pediatric deaths can be attributed pneumonia. Computing techniques have significant role science, engineering, many other fields. In this study, we focused on efficiency numerical via computer programs. We studied dynamics pneumonia-like infections epidemic models using techniques. discuss two types analysis: dynamical numerical. The analysis included positivity, boundedness, local stability, reproduction number, equilibria model. also well-known computing including Euler, Runge Kutta, non-standard finite difference (NSFD) for technique shows convergence true equilibrium points model any time step size. However, Euler Kutta do not work well over large intervals. are suitable tool crosschecking theoretical