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A dynamical study of SARS-COV-2: A study of third wave
Xiao-Ping Li1, Ye Wang2, Muhammad Altaf Khan3
1College of Mathematics and Information Science, Xiangnan University, Chenzhou 423000, P. R. China.
Insights
A new mathematical model accurately predicts the COVID-19 third wave peak in Pakistan for May 6, 2021. The model demonstrates effective parameter strategies to decrease coronavirus infection cases.
Area of Science:
- Epidemiology
- Mathematical Modeling
- Public Health
Background:
- The ongoing global coronavirus (COVID-19) pandemic poses a significant threat, necessitating accurate prediction models for infection surges.
- Understanding and forecasting the peak of infection waves are crucial for effective public health interventions.
Purpose of the Study:
- To develop and validate a novel mathematical model for predicting the third wave of coronavirus infection.
- To estimate the infection peak and assess the impact of control parameters on COVID-19 spread in Pakistan.
Main Methods:
- Utilized reported COVID-19 cases in Pakistan from March 6, 2021, to April 30, 2021.
- Developed a mathematical model to fit the observed data and analyze epidemic dynamics.
- Investigated model stability and performed sensitivity analysis on key parameters.
Main Results:
- The proposed mathematical model demonstrated accurate fitting to the collected data.
- The basic reproduction number was calculated, and the model's stability was confirmed for the disease-free equilibrium.
- Graphical analysis showed that specific parameters can significantly reduce infection cases during the third wave.
Conclusions:
- The study successfully predicted the third wave infection peak in Pakistan to be May 6, 2021.
- The developed model and identified parameters offer a valuable tool for predicting and managing COVID-19 outbreaks in other countries.
- Mathematical modeling provides critical insights for public health strategies during pandemics.
Abstract:
The coronavirus still an epidemic in most countries of the world and put the people in danger with so many infected cases and death. Considering the third wave of corona virus infection and to determine the peak of the infection curve, we suggest a new mathematical model with reported cases from March 06, 2021, till April 30, 2021. The model provides an accurate fitting to the suggested data, and the basic reproduction number calculated to be . We study the stability of the model and show that the model is locally as well as globally asymptotically stable when , for the disease free case. The parameters that are sensitive to the basic reproduction number, their effect on the model variables are shown graphically. We can observe that the suggested parameters can decrease efficiently the infection cases of the third wave in Pakistan. Further, our model suggests that the infection peak is to be May 06, 2021. The present results determine that the model can be useful in order to predict other countries data.
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