TY - JOUR
AU - S, Kumbinarasaiah
AU - R, Yeshwanth
PY - 2023/12/27
Y2 - 2024/04/12
TI - Haar wavelet approach to study the control of biological pest model in Tea plants
JF - Journal of Fractional Calculus and Nonlinear Systems
JA - J Frac Calc & Nonlinear Sys
VL - 4
IS - 2
SE - Articles
DO - 10.48185/jfcns.v4i2.862
UR - https://sabapub.com/index.php/jfcns/article/view/862
SP - 14-30
AB - <p>n this study, we consider a novel approach called the Haar wavelet collocation method (HWCM) to<br />examine the mathematical model of pest propagation in tea plants and how biological enemies might control<br />them. This model is in the form of a system of coupled ordinary differential equations (ODEs). When studying<br />the system, we consider tea plants, pests that harm the plants, biological enemies that are their reasonable<br />competitors of pests, self-reproduction of the tea plants, natural death of pests and natural enemies, etc. By<br />turning the Mathematical model into a system of non-linear algebraic equations, we use the properties of<br />the Haar wavelets. The opted method can solve the biological pest management problem in tea plants. The<br />values of the unknown coefficients are recovered using the collocation method and Newton Raphson method.<br />The Mathematica program acquires the numerical results, nature, and uniformity. The acquired findings show<br />that the current method is more accurate than those indicated in tables and graphs.</p>
ER -