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) toexamine the mathematical model of pest propagation in tea plants and how biological enemies might controlthem. This model is in the form of a system of coupled ordinary differential equations (ODEs). When studyingthe system, we consider tea plants, pests that harm the plants, biological enemies that are their reasonablecompetitors of pests, self-reproduction of the tea plants, natural death of pests and natural enemies, etc. Byturning the Mathematical model into a system of non-linear algebraic equations, we use the properties ofthe Haar wavelets. The opted method can solve the biological pest management problem in tea plants. Thevalues 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 showthat the current method is more accurate than those indicated in tables and graphs.