Все выпуски

[ Switch to English ]

Analytical Approximation of a Nonlinear Model for Pest Control in Coconut Trees by the Homotopy Analysis Method

Suganya G., Senthamarai R.
 pdf (927K)

Rugose spiraling whitefly (RSW) is one of the major pests which affects the coconut trees. It feeds on the tree by sucking up the water content as well as the essential nutrients from leaves. It also forms sooty mold in leaves due to which the process of photosynthesis is inhibited. Biocontrol of pest is harmless for trees and crops. The experimental results in literature reveal that Pseudomallada astur is a potential predator for this pest. We investigate the dynamics of predator, Pseudomallada astur’s interaction with rugose spiralling whitefly, Aleurodicus rugioperculatus in coconut trees using a mathematical model. In this system of ordinary differential equation, the pest-predator interaction is modeled using Holling type III functional response. The parametric values are calculated from the experimental results and are tabulated. An approximate analytical solution for the system has been derived. The homotopy analysis method proves to be a suitable method for creating solutions that are valid even for moderate to large parameter values, hence we employ the same to solve this nonlinear model. The $\hbar$-curves, which give the admissible region of $\hbar$, are provided to validate the region of convergence. We have derived the approximate solution at fifth order and stopped at this order since we obtain a more approximate solution in this iteration. Numerical simulation is obtained through MATLAB. The analytical results are compared with numerical simulation and are found to be in good agreement. The biological interpretation of figures implies that the use of a predator reduces the whitefly’s growth to a greater extent.

Ключевые слова: mathematical model, Pseudomallada astur, rugose spiraling whitefly, coconut trees, homotopy analysis method, $\hbar$-curves
Цитата: Suganya G., Senthamarai R. Analytical Approximation of a Nonlinear Model for Pest Control in Coconut Trees by the Homotopy Analysis Method // Компьютерные исследования и моделирование, 2022, т. 14, № 5, с. 1093-1106
Citation in English: Suganya G., Senthamarai R. Analytical Approximation of a Nonlinear Model for Pest Control in Coconut Trees by the Homotopy Analysis Method // Computer Research and Modeling, 2022, vol. 14, no. 5, pp. 1093-1106
DOI: 10.20537/2076-7633-2022-14-5-1093-1106
URL: http://crm.ics.org.ru/journal/article/3254/
Creative Commons License Статья доступна по лицензии Creative Commons Attribution-NoDerivs 3.0 Unported License.

Журнал индексируется в Scopus

Полнотекстовая версия журнала доступна также на сайте научной электронной библиотеки eLIBRARY.RU

Журнал входит в систему  Российского индекса научного цитирования.

Журнал включен в базу данных Russian Science Citation Index (RSCI) на платформе Web of Science

Международная Междисциплинарная Конференция "Математика. Компьютер. Образование"

Международная Междисциплинарная Конференция МАТЕМАТИКА. КОМПЬЮТЕР. ОБРАЗОВАНИЕ.

Copyright © 2009–2024 Институт компьютерных исследований