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Research Article

Qualitative analysis of 2019-nCoV mathematical model via an efficient computational technique

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References

  • J.F. Chan, K.H. Kok, Z. Zhu, H. Chu, K.K. To, S. Yuan and K.Y. Yuen, Genomic characterization of the 2019 novel human-pathogenic coronavirus isolated from patients with acute respiratory disease in Wuhan, Hubei, China. Emerg. Microbes Infect., 9, (2020), pp. 221–236. doi: 10.1080/22221751.2020.1719902
  • H. Lu, C.W. Stratton and Y.W. Tang, Outbreak of Pneumonia of Unknown Etiology inWuhan China: The Mystery and the Miracle. J. Med. Virol., (2020).
  • W. Ji, W. Wang, X. Zhao, J. Zai and X. Li, Homologous recombination within the spike glycoprotein of the newly identified coronavirus may boost cross-species transmission from snake to human. J. Med. Virol., (2020).
  • Covid19.org:Coronavirus Outbreak in India http://www.covid19india.org/
  • V. Gill, K. Modi and Y. Singh, Analytic solutions of fractional differential equation associated with RLC electrical circuit, Journal of Statistics and Management Systems, 21(4), (2018), pp. 575-582. doi: 10.1080/09720510.2018.1466966
  • V. Gill, J. Singh and Y. Singh, Analytical solution of generalized space-time fractional Advection-Dispersion equation via coupling of Sumudu and Fourier Transforms, Frontiers in Physics, Volume 6, Article 151, (2019), doi: 10.3389/fphy.2018.00151.
  • Y. Singh, D. Kumar, K. Modi and V. Gill, A new approach to solve Cattaneo-Hristov diffusion model and fractional diffusion equations with Hilfer-Prabhakar derivative, AIMS Mathematics, 5 (2), (2019), pp. 843–855. DOI: 10.3934/math2020057.
  • Y. Singh, V. Gill, S. Kundu and D. Kumar, On the Elzaki transform and its applications in fractional free electron laser equation, Acta Universitatis Sapientiae, Mathematica, 11(2), (2019), pp. 419-429.
  • R. Agarwal, M.P. Yadav, R.P. Agarwal and R. Goyal, Analytic solution of fractional advection dispersion equation with decay for contaminant transport in porous media, Matematicki Vesnik, 71, (2019), pp. 5-15.
  • R. Agarwal, M.P. Yadav and R.P. Agarwal, Analytic solution of time fractional Boussinesq equation for groundwater flow in unconfined aquifer, Discontinuity, Nonlinearity, and Complexity, 8(3), (2019), pp. 341-352.
  • Y. Singh and R. S. Dubey, Fractional calculus operator with generalize k-Mittag-Leffler function, Journal of Interdisciplinary Mathematics, 23(2), (2020), pp. 545-553. DOI:10.1080/09720502.2020.1731971.
  • V. Bhatnagar and R.C. Poonia, Design of prototype model for irrigation based decision support system, Journal of Information and Optimization Sciences 39(7), (2018), pp. 1607-1612. doi: 10.1080/02522667.2018.1507763
  • T.M. Chen, J. Rui, Q.P. Wang, Z.Y. Zhao, J.A. Cui and L. Yin, A mathematical model for simulating the phase-based transmissibility of a novel coronavirus. Infect. Dis. Poverty, 9, (2020).
  • V. Bhatnagar, R.C. Poonia, P. Nagar, S. Kumar, V. Singh, L. Raja and P. Das, Descriptive analysis of COVID-19 patients in the context of India, Journal of Interdisciplinary Mathematics, (2020), pp. 1-16. https://doi.org/10.1080/09720502.2020.1761635.
  • V. Singh, R.C. Poonia, S. Kumar, P. Das, P. Agarwal, V. Bhatnagar and L. Raja, Prediction of COVID-19 corona virus pandemic based on time series data using support vector machine, Journal of Discrete Mathematical Sciences and Cryptography, (2020).
  • G. K. Watugala, Sumudu Transform: a new integral transform to solve differential equations and control engineering problems, International Journal of Mathematical Education in Science and Technology, 24 (1), (1993), pp. 35-43. doi: 10.1080/0020739930240105
  • F. B. M. Belgacem, Applications of the sumudu transform to indefinite periodic parabolic equations, in Proceedings of the 6th International Conference on Mathematical Problems and Aerospace Sciences (ICNPAA ‘06), chapter 6, pp. 51-60, Cambridge Scientific, Cambridge, UK, (2007).
  • F. B. M. Belgacem, A. A. Karaballi and S. L. Kalla, Analytical investigations of the sumudu transform and applications to integral production equations, Mathematical Problem in Engineering, 2003(3), (2003), pp. 103-118. doi: 10.1155/S1024123X03207018
  • Q. D. Katatbeh and F. B. M. Belgacem, Applications of the Sumudu transform to fractional differential equations, Nonlinear Studies, 18(1), (2011), pp. 99-112.
  • I. Podlubny, Fractional Differential Equations, Academic Press, New York, (1999).
  • M. Caputo, Elasticita e Dissipazione. Zani-Chelli, Bologna, (1969).
  • V. B. L. Chaurasia and J. Singh, Application of sumudu transform in Schrdinger equation occurring in quantum mechanics, Applied Mathematical Sciences 4(no. 57-60), (2010), pp. 2843-2850.
  • M.A. Khan and A. Atangana, Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative, Alexandria Eng. J., (2020). https://doi.org/10.1016/j.aej.2020.02.033.
  • J.H. He, Homotopy perturbation technique, Computer Methods in Applied Mechanics Engineering, 178, (1999), pp. 257–262. doi: 10.1016/S0045-7825(99)00018-3
  • N. H. Sweilam, and M. M. Khader, Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method, Computers & Mathematics with Applications, 58, (2009), pp. 2134–2141. doi: 10.1016/j.camwa.2009.03.059
  • J. Saberi-Nadjafi, and A. Ghorbani, He’s homotopy perturbation method: an effective tool for solving nonlinear integral and integro- differential equations, Computers & Mathematics with Applications, 58, (2009), pp. 1345–1351. doi: 10.1016/j.camwa.2009.03.032
  • A. Ghorbani, Beyond adomian’s polynomials: He polynomials, Chaos Solitons and Fractals, 39, (2009), pp. 1486- 1492. doi: 10.1016/j.chaos.2007.06.034
  • S. T. Mohyud-Din, M. A. Noor, and K. I. Noor, Traveling wave solutions of seventh-order generalized KdV equation using He’s polynomials, International Journal of Nonlinear Sciences and Numerical Simulation, 10, (2009), pp. 227-233. doi: 10.1515/IJNSNS.2009.10.2.227
  • SRS Bulletin, Sample Registration System, Vol. 52(1), (2019).

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