Effect of Covid-19 in India- A prediction through mathematical modeling using Atangana Baleanu fractional derivative

References

• World Health Organization, "Coronavirus disease 2019", cited March 15, 2020. Available: https://www.who.int/health-topics/coronavirus.
   Google Scholar
• Hui, D. S., Azhar, E. I., Madani, et al. (2020). The continuing 2019- nCoV epidemic threat of novel corona viruses to global health-The latest 2019 novel corona virus outbreak in Wuhan, China. International journal ofinfectious diseases, 91, 264-266.
   PubMed Web of Science ®Google Scholar
• World Health Organization, Corona virus, World Health Organization, cited February 19, 2020. "WHO COVID-19 situation report 29". https://www.who.int/emergencies/diseases/novel-coronavirus-2019
   Google Scholar
• KRR G, KVR M, SSP PR, Casella F. (2020). Non-Pharmaceutical Interventions (NPIs) to Reduce COVID-19 Mortality. SSRN Electron J, 1.-9, DOI:10.2139/ssrn.3560688
   Google Scholar
• Team, T. I. E. (2020). Kerala Defeats Corona virus; India's Three COVID-19 Patients Successfully Recover. The Weather Channel, 15. http://envis.tropmet.res.in/publications/COVID-19%20News%20Highlights.pdf
   Google Scholar
• India's first coronavirus death is confirmed in Karnataka, Hindustan Times. 12 March 2020. Retrieved 27 March 2020.
   Google Scholar
• Lin, Q., Zhao, S., et al. (2020). A conceptual model for the coronavirus disease 2019 (COVID-19) outbreak in Wuhan, China with individual reaction and governmental action. International journal of infectious diseases, 93, 211-216.
   PubMed Web of Science ®Google Scholar
• Chen, T. M., Rui, J., Wang, et al. (2020). A mathematical model for simulating the phase-based transmissibility of a novel corona virus. Infectious diseases of poverty, 9(1), 1-8.
   PubMed Web of Science ®Google Scholar
• Khan, M. A., & Atangana, A. (2020). Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative. Alexandria Engineering Journal, 59(4), 2379-2389.
   Web of Science ®Google Scholar
• Modi K., Umate L., et al. (2020). Simulation based study for estimation of COVID-19 spread in India using SEIR model. Journal of Interdisciplinary Mathematics, 24(2), 1-14
   Web of Science ®Google Scholar
• Brauer, F., Castillo-Chavez, C., & Castillo-Chavez, C. (2012). Mathematical models in population biology and epidemiology. New York: Springer. 2, p. 508.
   Google Scholar
• Shaikh, A. S., & Sontakke, B. R. (2020). Impulsive initial value problems for a class of implicit fractional differential equations. Computational Methods for Differential Equations, 8(1), 141-154.
   Web of Science ®Google Scholar
• Malyk, I., Mohammed, M., Shrahili, et al. (2020). Analytical solution of non-linear fractional Burger's equation in thebframework of differential fractional derivative operators. Results in Physics, 19, 103397. DOI/10.1016/j.rinp.2020.103397
   Web of Science ®Google Scholar
• Almuqrin, M. A., Goswami, P. et al. (2021). Fractional model of ebola virus in population of bats in frame of Atangana-Baleanu fractional derivative, Results in Physics, DOI:/10.1016/j.rinp.2021.
   PubMed Web of Science ®Google Scholar
• Jain R., Arekar K., & Dubey R. S. (2017). Study of Bergman's minimal blood glucose-insulin model by Adomian decomposition method, Journal of Information and Optimization Sciences. 38(1), 133-149.
   Web of Science ®Google Scholar
• Srivastava H. M., Shanker Dubey R., & Jain M. (2019). A study of the fractional-order mathematical model of diabetes and its resulting complications. Math Meth Appl Sci., 42, 4570-4583. DOI/10.1002/mma.5681
   Web of Science ®Google Scholar
• Saad, K. M., Baleanu, D., & Atangana, A. (2018). New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries- Burger's equations. Computational and Applied Mathematics, 37(4), 5203-5216.
   Google Scholar
• Toufik, M., & Atangana, A. (2017). New numerical approximation of fractional derivative with non-local and non-singular kernel: application to chaotic models. The European Physical Journal Plus, 132(10), 1-16.
   Web of Science ®Google Scholar
• Dubey R. S., Belgacem F.B.M., & Goswami P. (2016). Homotopy perturbation approximate solutions for Bergman's minimal blood glucose-insulin model, Fractal Geom Nonlin Anal Med Biol.2(3), 1-6.
   Google Scholar
• Erturk, V. S., Zaman, G., & Momani, S. (2012). A numeric- analytic method for approximating a giving up smoking model containing fractional derivatives. Computers & Mathematics with Applications, 64(10), 3065-3074.
   Web of Science ®Google Scholar
• Alkahtani B.S.T., Alkahtani J.O., Dubey R.S., & Goswami P. (2016). Solution of fractional oxygen diffusion problem having without singular kernel. J Nonlin Sci Appl., 11, 1-9.
   Google Scholar
• Alkahtani B.S.T., Alkahtani J.O., Dubey R.S., & Goswami P. (2017). The solution of modified fractional Bergman's minimal blood glucose-insulin model. Entropy, 19 (5), 1-11, Article ID114.
   Web of Science ®Google Scholar
• Chaurasia V.B.L., & Dubey R.S. (2013). Analytical solution for the generalized time fractional telegraph equation. Fract Differ Calculus, 3, 21-29.
   Google Scholar
• Blackwood, J. C., & Childs, L. M. (2018). An introduction to compartmental modeling for the budding infectious disease modeler. Letters in Biomathematics, 5(1), 195-221.
   Google Scholar
• Baleanu, D., Rezapour, S., & Saberpour, Z. (2019). On fractional integro-differential inclusions via the extended fractional Caputo- Fabrizio derivation. Boundary Value Problems, 2019(1), 1-17.
   Google Scholar
• Gomez-Aguilar, J. F., Yepez-Martinez, H., et al. (2017). Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel. Advances in Difference Equations, 2017(1), 1-18.
   Google Scholar
• Dubey R.S., Goswami P., Belgacem F.B.M.(2014). Generalized time- fractional telegraph equation analytical solution by Sumudu and Fourier transforms. J Fract Calc Appl. 5, 52-58.
   Google Scholar
• Chaurasia V.B.L, Dubey R.S., Belgacem F.B.M.(2012). Fractional radial diffusion equation analytical solution via Hankel and Sumudu transforms. Mathematics in Engineering Sci Aeros,3, 1-10.
   Google Scholar
• Shaikh, A., Tassaddiq, A., Nisar, K. S., & Baleanu, D. (2019). Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations. Advances in Difference Equations, 2019(1), 1-14.
   Google Scholar
• Baleanu, D., Mousalou, A., & Rezapour, S. (2018). The extended fractional Caputo-Fabrizio derivative of order 0<o<1on CR [0,1]and the existence of solutions for two higher-order series-type differential equations. Advances in Difference Equations, 2018 (255), DOI/10.1186/s13662-018-1696-6
   Google Scholar
• Baleanu, D., Mousalou, A., & Rezapour, S. (2017). On the existence of solutions for some infinite coefficient-symmetric Caputo- Fabrizio fractional integro-differential equations. Boundary Value Problems, 2017(1), 1-9.
   Google Scholar
• Rhodes, C. J., & Anderson, R. M. (2008). Contact rate calculation for a basic epidemic model. Mathematical biosciences, 216(1), 56-62.
   PubMed Web of Science ®Google Scholar
• Dubey R. S., & Goswami P. (2018). Analytical solution of the nonlinear diffusion equation, European Physical Journal Plus 133(5), Article ID 183.
   Web of Science ®Google Scholar
• Van den Driessche, P., & Watmough, J. (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical biosciences, 180(1-2), 29-48.
   PubMed Web of Science ®Google Scholar
• World Health Organization. Coronavirus. World Health Organization, citedJanuary 19, 2020. Available: https://www.who.int/health-topics/coronavirus.
   Google Scholar
• Zhou, P., Yang, X. L., et al.. (2020). A pneumonia outbreak associated with a new coronavirus of probable bat origin. nature, 579(7798), 270–273.
   PubMed Web of Science ®Google Scholar
• Li, Q., Guan, X., et al. (2020). Early transmission dynamics in Wuhan, China, of novel coronavirus-infected pneumonia. New England journal of medicine.
   Web of Science ®Google Scholar
• Huang, C., Wang, Y., et al. (2020). Clinical features of patients infected with 2019 novel corona virus in Wuhan, China. The lancet, 395(10223), 497-506.
   PubMed Web of Science ®Google Scholar
• Chan, J. F. W., Yuan, S., et al. (2020). A familial cluster of pneumonia associated with the 2019 novel corona virus indicating person-to- person transmission: a study of a family cluster. The lancet, 395(10223), 514-523.
   PubMed Web of Science ®Google Scholar
• Zhu, N., Zhang, D., et al.. (2020). A novel coronavirus from patients with pneumonia in China, 2019. New England journal of medicine.
   Web of Science ®Google Scholar
• Bhatnagar, V., Poonia, R. C., et al. (2020). Descriptive analysis of COVID-19 patients in the context of India. Journal of Interdisciplinary Mathematics, 1-16.
   Web of Science ®Google Scholar
• Singh, V., Poonia, R. C., Kumar, et al. (2020). Prediction of COVID-19 corona virus pandemic based on time series data using Support Vector Machine. Journal of Discrete Mathematical Sciences and Cryptography, 1-15.
   Web of Science ®Google Scholar
• Bhatnagar, V., & Poonia, R. C. (2018). Design of prototype model for irrigation based decision support system. Journal of Information and Optimization Sciences, 39(7), 1607-1612.
   Web of Science ®Google Scholar
• Kumari, R., Kumar, S., et al. (2021). Analysis and predictions of spread, recovery, and death caused by COVID-19 in India. Big Data Mining and Analytics, 4(2), 65-75.
   Google Scholar