We develop a mathematical model, based on a system of ordinary differential equations, to the upshot of farming alertness in crop pest administration, bearing in mind plant biomass, pest, and level of control. Main qualitative analysis of the proposed mathematical model, akin to both pest-free and coexistence equilibrium points and stability analysis, is investigated. We show that all solutions of the model are positive and bounded with initial conditions in a certain significant set. The local stability of pest-free and coexistence equilibria is shown using the Routh–Hurwitz criterion. Moreover, we prove that when a threshold value is less than one, then the pest-free equilibrium is locally asymptotically stable. To get optimum interventions for crop pests, that is, to decrease the number of pests in the crop field, we apply optimal control theory and find the corresponding optimal controls. We establish existence of optimal controls and characterize them using Pontryagin's minimum principle. Finally, we make use of numerical simulations to illustrate the theoretical analysis of the proposed model, with and without control measures. ; published


    Access

    Download


    Export, share and cite



    Title :

    Farming awareness based optimum interventions for crop pest control



    Publication date :

    2021-01-01


    Remarks:

    doi:10.3934/mbe.2021272



    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629




    Crop disease and pest control device

    QIAN XIAOMEI | European Patent Office | 2024

    Free access

    Crop disease and pest control equipment with good stability

    DI BING | European Patent Office | 2023

    Free access

    High-power microwave precise radiation crop pest control system

    ZHAO YU / REN MEILI / LI QIANG et al. | European Patent Office | 2021

    Free access

    YOLO-pest: a real-time multi-class crop pest detection model

    Dong, Shifeng / Zhang, Jie / Wang, Fenmei et al. | British Library Conference Proceedings | 2022


    Crop disease and pest identification assembly based on Internet of Things

    CHEN QIANG / WANG LIXIAO | European Patent Office | 2024

    Free access