Modelling of COVID-19 Using Fractional Differential Equations

التفاصيل البيبلوغرافية
العنوان: Modelling of COVID-19 Using Fractional Differential Equations
المؤلفون: Patel, Rishi, Sainani, P., Brar, M., Patel, R., Li, X., Drozd, J., Chishtie, F. A., Benterki, A., Scott, T. C., Valluri, S. R.
سنة النشر: 2023
المجموعة: Physics (Other)
Quantitative Biology
مصطلحات موضوعية: Physics - Physics and Society, Quantitative Biology - Populations and Evolution
الوصف: In this work, we have described the mathematical modeling of COVID-19 transmission using fractional differential equations. The mathematical modeling of infectious disease goes back to the 1760s when the famous mathematician Daniel Bernoulli used an elementary version of compartmental modeling to find the effectiveness of deliberate smallpox inoculation on life expectancy. We have used the well-known SIR (Susceptible, Infected and Recovered) model of Kermack & McKendrick to extend the analysis further by including exposure, quarantining, insusceptibility and deaths in a SEIQRDP model. Further, we have generalized this model by using the solutions of Fractional Differential Equations to test the accuracy and validity of the mathematical modeling techniques against Canadian COVID-19 trends and spread of real-world disease. Our work also emphasizes the importance of Personal Protection Equipment (PPE) and impact of social distancing on controlling the spread of COVID-19.
Comment: 14 Pages of Text, 24 Figures on 6 Pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2307.16282
رقم الأكسشن: edsarx.2307.16282
قاعدة البيانات: arXiv