Dynamical analysis of fractional-order tobacco smoking model containing snuffing class

Abstract

The cur­rent pan­demic sit­u­a­tion caused by COVID-19 has affected human life globally at the economic, social and men­tal health levels. Specifically, ten­sion has led an in­creas­ing number of people to the consumption of various types of to­bacco.. In this work, an existing tobacco smoking model with a specific class of tobacco snuffing is converted into a fractional order as many applications of fractional derivatives to recall the past history of smokers in the present model. For this purpose, we use fractional derivative in Caputo sense to study the model in the form of fractional order. Then Positivity, boundness and dynamics of the proposed model are investigated. For numerical results, the generalized “Adams–Bashforth–Moulton Method (GABMM) and fourth-order Runge–Kutta (RK4) method” are used to solve the proposed model and Matlab numerical computing environment is the current software used.