Related Experiment Video
Updated: Oct 25, 2025

A Data-Driven Approach to Quantifying Immune States in Sepsis
Published on: February 7, 2025
An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model
Yasir Nawaz1, Muhammad Shoaib Arif1, Kamaleldin Abodayeh2
1Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000 Pakistan.
Abstract:
An explicit unconditionally stable scheme is proposed for solving time-dependent partial differential equations. The application of the proposed scheme is given to solve the COVID-19 epidemic model. This scheme is first-order accurate in time and second-order accurate in space and provides the conditions to get a positive solution for the considered type of epidemic model. Furthermore, the scheme's stability for the general type of parabolic equation with source term is proved by employing von Neumann stability analysis. Furthermore, the consistency of the scheme is verified for the category of susceptible individuals. In addition to this, the convergence of the proposed scheme is discussed for the considered mathematical model.
Related Concept Videos
Causality in Epidemiology
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
Steps in Outbreak Investigation
Exponential Equations for Modeling Growth
Statistical Methods for Analyzing Epidemiological Data
Principles of Disease Surveillance

