Investigation of a Mathematical Model of Plant Protection in a Predator--Prey Biological System Using the Type II Trophic Holling Function

Abstract

The article explores a mathematical model of plant protection in a predator--prey biological system using the type II Holling trophic function. It examines the complex interactions between plants, their natural enemies, and predators, where the Holling function describes the dynamic relationship between the number of predators and the population density of their prey. The article focuses on analyzing the population dynamics of plant and animal components in the ecosystem, as well as the impact of trophic interactions on the overall effectiveness of plant protection strategies. The article uses mathematical modeling to investigate the behavior of the ecosystem under various conditions, including changes in climate and anthropogenic impacts. Key parameters affecting the sustainability of the ecosystem are established, such as the growth rate of populations, the coefficients of species interaction, and the effectiveness of pest control. Of particular interest is the analysis of the stability of equilibria and bifurcation scenarios that may occur when the model parameters are varied. The study includes analytical analysis and numerical experiments, which allow for the identification of critical points in the system's dynamics. The results obtained are crucial for the development and optimization of plant protection methods. They provide insights into more accurate and effective strategies for pest control, which can significantly enhance the effectiveness of agricultural practices. The research results demonstrate how mathematical models can predict the long-term consequences of using various biological protection methods, minimizing risks to the ecological balance and contributing to the development of sustainable agroecosystems

Please cite this article in English as:

Odinaev R.N., Nazarov U.A. Investigation of a mathematical model of plant protection in a predator--prey biological system using the type II trophic Holling function. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2026, no. 2 (125), pp. 4--19 (in Russ.). EDN: TYITRX

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