Текущий выпуск Номер 5, 2026 Том 18

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Результаты поиска по 'response function':
Найдено статей: 41
  1. Dhivyadharshini B., Senthamarai R.
    Modeling and analytical approximation of rhinoceros beetle infestation in coconut plantations via homotopy perturbation method
    Компьютерные исследования и моделирование, 2026, т. 18, № 5, с. 1401-1416

    In this paper, a non-linear mathematical model is formulated to examine the impact of rhinoceros beetles on coconut plantations through the interactions among healthy coconut trees, infected trees, and the beetle population. The model consists of three coupled non-linear ordinary differential equations (ODEs) with a Holling type II functional response to describe beetle-induced infection. Positivity and boundedness analyses ensure the biological feasibility of the system. The basic reproduction number (R0) is derived using the next-generation matrix method to determine the threshold for beetle persistence. Local and global stability analyses of the equilibrium points are performed to investigate the long-term behavior of the system. The biological interpretation of equilibrium points explains the conditions for pest eradication and persistence. Optimal control strategies are incorporated to identify effective measures for reducing beetle infestation. The homotopy perturbation method (HPM) is employed to obtain approximate analytical solutions of the non-linear system. Sensitivity analysis identifies the parameters that strongly influence pest dynamics. Numerical simulations validate the analytical findings and show that reducing the contact rate between beetles and healthy trees can effectively control infestation and protect coconut plantations.

    Ключевые слова: mathematical modeling, homotopy perturbation method, non-linear ordinary differential equations, pest control model, numerical simulation.
    Dhivyadharshini B., Senthamarai R.
    Modeling and analytical approximation of rhinoceros beetle infestation in coconut plantations via homotopy perturbation method
    Computer Research and Modeling, 2026, v. 18, no. 5, pp. 1401-1416

    In this paper, a non-linear mathematical model is formulated to examine the impact of rhinoceros beetles on coconut plantations through the interactions among healthy coconut trees, infected trees, and the beetle population. The model consists of three coupled non-linear ordinary differential equations (ODEs) with a Holling type II functional response to describe beetle-induced infection. Positivity and boundedness analyses ensure the biological feasibility of the system. The basic reproduction number (R0) is derived using the next-generation matrix method to determine the threshold for beetle persistence. Local and global stability analyses of the equilibrium points are performed to investigate the long-term behavior of the system. The biological interpretation of equilibrium points explains the conditions for pest eradication and persistence. Optimal control strategies are incorporated to identify effective measures for reducing beetle infestation. The homotopy perturbation method (HPM) is employed to obtain approximate analytical solutions of the non-linear system. Sensitivity analysis identifies the parameters that strongly influence pest dynamics. Numerical simulations validate the analytical findings and show that reducing the contact rate between beetles and healthy trees can effectively control infestation and protect coconut plantations.

    Keywords: mathematical modeling, homotopy perturbation method, non-linear ordinary differential equations, pest control model, numerical simulation.
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