Tobacco smoking model containing snuffing class

Viswanathan Padmavathi; Kandaswami Alagesan; Samad Noeiaghdam; Unai Fernandez-Gamiz; Manivelu Angayarkanni; Vediyappan Govindan

doi:10.1016/j.heliyon.2023.e20792

Tobacco smoking model containing snuffing class

Heliyon. 2023 Oct 11;9(10):e20792. doi: 10.1016/j.heliyon.2023.e20792. eCollection 2023 Oct.

Authors

Viswanathan Padmavathi¹, Kandaswami Alagesan², Samad Noeiaghdam^{3

4}, Unai Fernandez-Gamiz⁵, Manivelu Angayarkanni², Vediyappan Govindan⁶

Affiliations

¹ Department of Mathematics, Thangavel Womens Arts and Science College, Salem - 636 106, Tamil Nadu, India.
² Department of Mathematics, Kandaswami Kandar's College, Velur - 638 182, Tamil Nadu, India.
³ Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk, 664074, Russia.
⁴ Department of Applied Mathematics and Programming, South Ural State University, Lenin prospect 76, Chelyabinsk, 454080, Russia.
⁵ Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, 01006, Vitoria-Gasteiz, Spain.
⁶ Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India.

Abstract

In recent years, the world has faced many destructive diseases that have taken many lives across the globe. To resist these diseases, humankind needs medicine to control, cure, and predict the behaviour of such problems. Recently, the Corona virus, which primarily affects the lungs, has threatened the globe. Similarly, tobacco-related illnesses impair the immune system, and this reduces the ability to fight against Covid-19. This tobacco-smoking version is vital for the researchers to reap the solution by using the q-homotopy analysis transform method with the useful resource of the Atangana-Baleanu-Caputo impression. Hence, the graphical illustrations have been discussed to achieve a solution for this mathematical model. This work applies the q-homotopy analysis transform method to the preeminent fractional operator Atangana-Baleanu-Caputo to better comprehend the infectious model of tobacco snuffing and smoking. Figures and tables are used to display the outcomes. The paper also aids in the analysis of the practical theory by predicting how it would behave when compared to the rules when considering the replica. It offers accurate grid point outcomes and fixes. The system's accuracy in the convergent zone is shown by the curves. The smoking model has been illustrated using graphical findings and fractional derivatives for easier comprehension. It's feasible that applications in the real world will make use of fractional derivatives.

Keywords: 34F05; 37M05; 92D30; Atangana-Baleanu-Caputo (ABC) derivative; Epidemic model; Mathematical models; Tobacco smoking model; q-Homotopy analysis transform method (q-HATM).