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Harnessing Mathematical Modeling in Controlling the Spread of COVID-19: A Deep Dive into the Fractional COVID-19 Model

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Mason Walker
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Harnessing Mathematical Modeling in Controlling the Spread of COVID-19: A Deep Dive into the Fractional COVID-19 Model

Harnessing Mathematical Modeling in Controlling the Spread of COVID-19: A Deep Dive into the Fractional COVID-19 Model

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As the world grapples with the spread of the coronavirus (COVID-19), researchers are turning to mathematical modeling to simulate the dynamics and spread of the virus. This approach is crucial in understanding how the virus unfolds in different scenarios. Also, it helps policymakers make informed decisions about intervention measures. A recent study has focused on the design of a novel fractional model for simulating the ongoing spread of COVID-19 using the Laplace Adomian decomposition method.

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Understanding the Fractional COVID-19 Model

The model seeks to comprehend the dynamics of the virus and analyze the impact of vaccination programs and treatment on virus prevalence. Also, it investigates the effectiveness of lockdown measures. It includes multiple categories such as susceptible, infected, treated, and recovered, and incorporates restrictive measures such as mandatory masks and social distancing. The model employs the Laplace Adomian decomposition method to simulate the different compartments of the model, with numerical simulations conducted and compared with real data from Italy.

The Role of Mathematical Modeling

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Mathematical modeling is a powerful tool in combating deadly diseases. It provides insights into the disease dynamics and aids in developing effective intervention methods. The use of mathematical models is not limited to COVID-19. Researchers have used them to simulate other diseases, shedding light on their spread and impact. The fractional COVID-19 model is a testament to the potential of mathematical modeling in controlling the spread of the virus.

Exploring the Caputo Definition in Modeling COVID-19 Dynamics

The research also delves into the potential of using the Caputo definition in modeling the COVID-19 dynamics. The Caputo definition is associated with fractional calculus, which provides a more comprehensive understanding of complex dynamics, such as those exhibited by the COVID-19 virus. The fractional model using the Caputo definition provides a more accurate prediction of the virus's spread. This has significant implications for public health decision-making and policy implementation.

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Comparative Analysis with Other Models

In addition to the fractional COVID-19 model, other models like the susceptible exposed infectious recovered (SEIR) model and the Spectral Collocation-Optimization Algorithm have been used to simulate the spread of the virus. These models incorporate various factors such as media influence, climatic parameters, governmental impact, and human behavioral response to provide a comprehensive understanding of the disease dynamics. The fractional COVID-19 model, however, stands out for its detailed exploration and accurate predictions.

Conclusion

The research highlights the importance of mathematical modeling in controlling the spread of deadly diseases. Also, it highlights the development of effective intervention techniques. It provides a comprehensive analysis of the model's formulation, stability analysis, and numerical simulations. The novelty of the paper lies in its detailed exploration of the fractional COVID-19 model using the Caputo definition. It highlights the potential of mathematical modeling in controlling the spread of the virus.

COVID-19
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