Haar wavelet approach to study the control of biological pest model in Tea plants

Abstract

n this study, we consider a novel approach called the Haar wavelet collocation method (HWCM) to
examine the mathematical model of pest propagation in tea plants and how biological enemies might control
them. This model is in the form of a system of coupled ordinary differential equations (ODEs). When studying
the system, we consider tea plants, pests that harm the plants, biological enemies that are their reasonable
competitors of pests, self-reproduction of the tea plants, natural death of pests and natural enemies, etc. By
turning the Mathematical model into a system of non-linear algebraic equations, we use the properties of
the Haar wavelets. The opted method can solve the biological pest management problem in tea plants. The
values of the unknown coefficients are recovered using the collocation method and Newton Raphson method.
The Mathematica program acquires the numerical results, nature, and uniformity. The acquired findings show
that the current method is more accurate than those indicated in tables and graphs.