A stage-structured delay model for biological control of Rugose Spiraling Whitefly in coconut plantations

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Coconut plantation plays a vital role in the economy and source of living for millions of farmers around the world, especially in tropical regions. The rugose spiraling whitefly is a highly destructive pest causing severe damage to coconut trees and significantly reducing their productivity. The aim of this paper is to develop and analyze a mathematical model that captures the dynamics of whitefly and to highlight the benefits of using biological control to mitigate the impact of pest damaging coconut palms. To be more realistic, a stage-structured model with maturation delay and lag in the implementation of the control measures has been considered in the model. We identify the equilibrium points of the system and perform a stability analysis to assess the system behavior. The numerical simulation of the proposed system is also reported. The findings reveal that introducing the population of parasitoids can effectively reduce the rugose spiraling whitefly population presenting a promising strategy for mitigating the pest’s impact.

Keywords: pest control, Rugose Spiraling Whitefly, maturation delay, stability, Encarsia guadeloupae
Citation in English: Jenitta E., Senthamarai R. A stage-structured delay model for biological control of Rugose Spiraling Whitefly in coconut plantations // Computer Research and Modeling, 2026, vol. 18, no. 2, pp. 463-481
Citation in English: Jenitta E., Senthamarai R. A stage-structured delay model for biological control of Rugose Spiraling Whitefly in coconut plantations // Computer Research and Modeling, 2026, vol. 18, no. 2, pp. 463-481
DOI: 10.20537/2076-7633-2026-18-2-463-481

Copyright © 2026 Jenitta E., Senthamarai R.

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International Interdisciplinary Conference "Mathematics. Computing. Education"