In this research, a convenient and effective semi-analytical technique namely the Differential Transformation Method (DTM) is employed to investigate the nonlinear epidemic model. The design of the mathematical model is explained according to five classifications of susceptible, exposed, infective, asymptomatic and recovered people. The corresponding solution points are validated against numerical outcomes. The results reveal a high degree of accuracy for DTM combination with Padé approximation. Moreover, this technique is a promising method to solve various nonlinear equations applicable for epidemic models. The results indicate that by increasing $R$ $R$ parameter, the values of infected individuals are enhanced. Also, it can be concluded that increasing in $γ$ $γ$ parameter leads to increase of recovered profile.

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References

1. Y. G. Sanchez, Z. Sabir and J. L. G. Guirao, Fractals 28, 2040026 (2020), https://doi.org/10.1142/S0218348X20400265. Link, Web of Science, ADS, Google Scholar
2. M. S. Abdo, K. Shah, H. A. Wahash and S. K. Panchal, Chaos Solitons Fractals 135, 109867 (2020). Crossref, Web of Science, Google Scholar
3. H. Lu, C. W. Stratton and Y. W. Tang, J. Med. Virol. 92(4), 401 (2020). Crossref, Web of Science, Google Scholar
4. W. Ji, W. Wang, X. Zhao, J. Zai and X. Li, J. Med. Virol. 92(4), 433 (2020). Crossref, Web of Science, Google Scholar
5. World Health Organization, Coronavirus Disease 2019 (COVID-19) Situation Report-62. (2020), Available at: https://www.who.int/emergencies/diseases/novel-coronavirus-2019/situation-reports (accessed on 4 May 2020). Google Scholar
6. W. Gao, P. Veeresha, D. G. Prakasha and H. M. Baskonus, Biology 9, 107 (2020). Crossref, Web of Science, Google Scholar
7. S. Mayilvaganan and S. Balamuralitharan, AIP Conf. Proc. 2112, 020008 (2019), https://doi.org/10.1063/1.5112193. Crossref, Google Scholar
8. J. Arino, F. Brauer, P. van den Driessche, J. Watmough and J. Wu, J. Theor. Biol. 253, 118 (2008). Crossref, Web of Science, ADS, Google Scholar
9. S. E. Ghasemi, M. Hatami, G. H. R. Mehdizadeh Ahangar and D. D. Ganji, J. Electrost. 72, 47 (2014). Crossref, Web of Science, Google Scholar
10. S. E. Ghasemi, M. Vatani and D. D. Ganji, Particuology 23, 68 (2015). Crossref, Web of Science, Google Scholar
11. M. Darzi, M. Vatani, S. E. Ghasemi and D. D. Ganji, Eur. Phys. J. Plus 130, 100 (2015). Crossref, Web of Science, Google Scholar
12. S. Gouran, S. Mohsenian and S. E. Ghasemi, Alexandria Eng. J. 61, 3237 (2021). Crossref, Web of Science, Google Scholar
13. M. Vatani, S. E. Ghasemi and D. D. Ganji, Proc. Inst. Mech. Eng. Part E: J. Process Mech. Eng. 230, 413 (2016). Crossref, Web of Science, Google Scholar
14. P. Valipour, S. E. Ghasemi and M. Vatani, J. Cent. South Univ. 22, 2825 (2015). Crossref, Web of Science, Google Scholar
15. S. E. Ghasemi, M. Hatami, A. Kalani Sarokolaie and D. D. Ganji, Physica E 70, 146 (2015). Crossref, Web of Science, ADS, Google Scholar
16. S. E. Ghasemi, M. Vatani, M. Hatami and D. D. Ganji, J. Mol. Liq. 215, 88 (2016). Crossref, Web of Science, Google Scholar
17. S. E. Ghasemi, A. Zolfagharian, M. Hatami and D. D. Ganji, Appl. Therm. Eng. 98, 88 (2016). Crossref, Web of Science, Google Scholar
18. P. Valipour, S. E. Ghasemi, M. R. Khosravani and D. D. Ganji, J. Theor. Appl. Phys. 10, 211 (2016). Crossref, Google Scholar
19. S. E. Ghasemi and M. Hatami, Case Stud. Therm. Eng. 25, 100898 (2021). Crossref, Web of Science, Google Scholar
20. S. E. Ghasemi, M. Hatami, J. Hatami, S. A. R. Sahebi and D. D. Ganji, Physica A 443, 406 (2016). Crossref, Web of Science, ADS, Google Scholar
21. S. E. Ghasemi, M. Hatami, A. Salarian and G. Domairry, J. Theor. Appl. Mech. 54, 517 (2016). Crossref, Web of Science, Google Scholar
22. S. E. Ghasemi, S. Gouran and A. Zolfagharian, Case Stud. Therm. Eng. 28, 101642 (2021). Crossref, Web of Science, Google Scholar
23. E. Mohammadian, S. E. Ghasemi, H. Poorgashti, M. Hosseini and D. D. Ganji, Proc. Inst. Mech. Eng. Part E: J. Process Mech. Eng. 229, 36 (2015). Crossref, Web of Science, Google Scholar
24. A. A. Ahmadi Asoor, P. Valipour, S. E. Ghasemi and D. D. Ganji, Int. J. Appl. Comput. Math. 3, 1689 (2017). Crossref, Google Scholar
25. P. Valipour and S. E. Ghasemi, J. Braz. Soc. Mech. Sci. Eng. 38, 859 (2016). Crossref, Web of Science, Google Scholar
26. S. E. Ghasemi, M. Hatami, D. Jing and D. D. Ganji, J. Mol. Liq. 219, 890 (2016). Crossref, Web of Science, Google Scholar
27. A. A. Ahmadi Asoor, P. Valipour and S. E. Ghasemi, Appl. Nanosci. 6, 243 (2016). Crossref, Web of Science, ADS, Google Scholar
28. J. K. Zhou, Differential Transformation Method and its Application for Electrical Circuits (Hauzhang University Press, Wuhan, 1986). Google Scholar
29. S. E. Ghasemi, M. Hatami and D. D. Ganji, Case Stud. Therm. Eng. 4, 1 (2014). Crossref, Google Scholar
30. S. E. Ghasemi, P. Valipour, M. Hatami and D. D. Ganji, J. Cent. South Univ. 21, 4592 (2014). Crossref, Web of Science, Google Scholar
31. I. H. Abdel-Halim Hassan, Appl. Math. Model. 32, 2552 (2008). Crossref, Web of Science, Google Scholar
32. S. E. Ghasemi, J. Mol. Liq. 238, 115 (2017). Crossref, Web of Science, Google Scholar
33. S. Chowdhury, S. Roychowdhury and I. Chaudhuri, Int. J. Mod. Phys. C 32, 2150128 (2021). Link, Web of Science, ADS, Google Scholar
34. N. Crokidakis and L. Sigaud, Int. J. Mod. Phys. C 32, 2150122 (2021). Link, Web of Science, ADS, Google Scholar
35. M. D. Shariful Islam, M. D. Enamul Hoque and M. Ruhul Amin, Int. J. Mod. Phys. C 32, 2150108 (2021). Link, Web of Science, Google Scholar
36. T. D. Frank, Int. J. Mod. Phys. C 32, 2150110 (2021) Link, Web of Science, ADS, Google Scholar
37. A. Aziz, Heat Conduction with Maple (R.T. Edwards, 2006). Google Scholar
38. P. Valipour and S. E. Ghasemi, Int. J. Adv. Manuf. Technol. 91, 3535 (2017). Crossref, Web of Science, Google Scholar
39. G. A. Baker, Essentials of Padé Approximants (Academic Press, London, 1975). Google Scholar
40. J. Boyd, Comput. Phys. 11, 299 (1997). Crossref, ADS, Google Scholar
41. A. Zolfagharian, M. Darzi and S. E. Ghasemi, J. Cent. South Univ. 24, 2353 (2017). Crossref, Web of Science, Google Scholar