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Updated: Dec 9, 2025

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Dynamic analysis of the mathematical model of COVID-19 with demographic effects
Naeem Faraz1, Yasir Khan2, E F Doungmo Goufo3
1International Cultural Exchange School, Donghua University, West Yanan Road 1882, Shanghai 200051, PR China.
Abstract:
The coronavirus is currently extremely contagious for humankind, which is a zoonotic tropical disease. The pandemic is the largest in history, affecting almost the whole world. What makes the condition the worst of all is no specific effective treatment available. In this article, we present an extended and modified form of SIR and SEIR model, respectively. We begin by investigating a simple mathematical model that describes the pandemic. Then we apply different safety measures to control the pandemic situation. The mathematical model with and without control is solved by using homotopy perturbation method. Obtained solutions have been presented graphically. Finally, we develop another mathematical model, including quarantine and hospitalization.
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