GLOBAL DYNAMICS AND SENSITIVITY ANALYSIS OF SEIAR MATHEMATICAL MODEL FOR COVID-19 PANDEMIC | ||||
| Assiut University Journal of Multidisciplinary Scientific Research | ||||
| Volume 50, Issue 2, December 2021, Page 1-18 PDF (852.23 K) | ||||
| Document Type: Novel Research Articles | ||||
| DOI: 10.21608/aunj.2021.219661 | ||||
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| Abstract | ||||
| In this paper, we introduce a mathematical model for the ongoing outbreak of the COVID-19 pandemic. We use the reproduction number to perform the sensitivity analysis and determine the most critical parameters from which we measure the volume of COVID-19 propagation. Global stability analysis of the model is investigated based on suitable Lyapunov functions. Based on facts to estimate the spread of COVID-19 throughout the world, numerical simulation is presented. Furthermore, we compare our simulation results to some real-world data collected by the World Health Organization over a period of time on reported infected cases. | ||||
| Keywords | ||||
| Covid-19 pandemic; SEIAR Mathematical model; Basic reproduction number; Sensitivity analysis; Stability; Numerical simulation | ||||
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