Текущий выпуск Номер 4, 2025 Том 17

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Результаты поиска по 'coconut plantation dynamics':
Найдено статей: 1
  1. Dhivyadharshini B., Senthamarai R.
    Modeling the indirect impact of rhinoceros beetle control on red palm weevils in coconut plantations
    Компьютерные исследования и моделирование, 2025, т. 17, № 4, с. 737-752

    In this paper, a mathematical model is developed and analyzed to assess the indirect impact of controlling rhinoceros beetles on red palm weevil populations in coconut plantations. The model consists of a system of six non-linear ordinary differential equations (ODEs), capturing the interactions among healthy and infected coconut trees, rhinoceros beetles, red palm weevils, and the oryctes virus. The model ensures biological feasibility through positivity and boundedness analysis. The basic reproduction number $R_0$ is derived using the next-generation matrix method. Both local and global stability of the equilibrium points are analyzed to determine conditions for pest persistence or eradication. Sensitivity analysis identifies the most influential parameters for pest management. Numerical simulations reveal that by effectively controlling the rhinoceros beetle population particularly through infection with the oryctes virus, the spread of the red palm weevil can also be suppressed. This indirect control mechanism helps to protect the coconut tree population more efficiently and supports sustainable pest management in coconut plantations.

    Ключевые слова: mathematical modeling, coconut plantation dynamics, non-linear ordinary differential equations, pest control model, numerical simulation.
    Dhivyadharshini B., Senthamarai R.
    Modeling the indirect impact of rhinoceros beetle control on red palm weevils in coconut plantations
    Computer Research and Modeling, 2025, v. 17, no. 4, pp. 737-752

    In this paper, a mathematical model is developed and analyzed to assess the indirect impact of controlling rhinoceros beetles on red palm weevil populations in coconut plantations. The model consists of a system of six non-linear ordinary differential equations (ODEs), capturing the interactions among healthy and infected coconut trees, rhinoceros beetles, red palm weevils, and the oryctes virus. The model ensures biological feasibility through positivity and boundedness analysis. The basic reproduction number $R_0$ is derived using the next-generation matrix method. Both local and global stability of the equilibrium points are analyzed to determine conditions for pest persistence or eradication. Sensitivity analysis identifies the most influential parameters for pest management. Numerical simulations reveal that by effectively controlling the rhinoceros beetle population particularly through infection with the oryctes virus, the spread of the red palm weevil can also be suppressed. This indirect control mechanism helps to protect the coconut tree population more efficiently and supports sustainable pest management in coconut plantations.

    Keywords: mathematical modeling, coconut plantation dynamics, non-linear ordinary differential equations, pest control model, numerical simulation.

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