MATHEMATICAL AND STABILITY ANALYSIS OF FRACTIONAL ORDER MODEL FOR SPREAD OF PESTS IN TEA PLANTS

Abstract

In this paper, the fractional order model for the binge of pests in tea plants is studied numerically. This model consists of three compartments such as tea plant, pest and predator. The local and non-local stability investigation of the system is also deliberated. The Grunwald–Letnikov (GL coefficients) method and generalized Euler method (GEM) are used to elucidate and simulate the proposed system. We have obtained stability conditions for equilibrium points, provided a numerical example, and proved our results. The results illustrate the concentrations of tea plants, pests, and predators all reach their equilibrium values as time passes. An imperative feature of this model is that it controls the motion at which the solution to equilibrium is grasped.