Title: Dynamical model for dispersion of toxicity due to vehicles

Authors: Nita H. Shah; Moksha H. Satia; Foram A. Thakkar

Addresses: Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India ' Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India ' Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India

Abstract: The vehicle is the major way of transporting an instrument from one place to another place, especially on land. The use of the vehicle is not limited to the transportation of an individual but it can also be used to transport cargo materials. The life-span of the vehicle is the estimation key for knowing how much the vehicle is polluted. Management of vehicles can save the toxicity spread. Therefore, a model is proposed to analyse the impact of the dispersion of toxicity due to vehicles. The model consists of three types of vehicles - private, public and cargo vehicles - which are divided into polluted and non-polluted vehicles and lastly its contribution to create toxicity. The model deals with the system of nonlinear differential equations. Stability and backward bifurcation of model are worked out. Trajectories analysis is performed to support the derived results.

Keywords: mathematical model; polluted and non-polluted vehicles; toxicity; stability; backward bifurcation.

DOI: 10.1504/IJCAET.2022.120816

International Journal of Computer Aided Engineering and Technology, 2022 Vol.16 No.2, pp.224 - 239

Received: 13 Nov 2018
Accepted: 02 May 2019
Published online: 11 Feb 2022 *

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