Dynamic efficacy of soil pollution using Fractional order model-An Adomian Decomposition approach

Abstract

In this paper, a nonlinear fractional order eco-epidemic model of soil pollution is considered with four compartments namely, Susceptible soil (S), Polluted soil (P), Remediate soil (T) and Recovered soil (R). The local and global stability of both pollution free equilibrium and pollution extinction equilibrium points are studied around the equilibrium points. Also, the non-negativity and existence of unique solution of the model is proved using fixed point theorem. Adomain decomposition method is used to find the approximate solution of the proposed model. Numerical simulations of the model are carried out through MATLAB which helps to understand the role of parameters and to validate the theoretical findings.