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


    Zugriff

    Download


    Exportieren, teilen und zitieren



    Titel :

    Farming awareness based optimum interventions for crop pest control


    Beteiligte:

    Erscheinungsdatum :

    2021-01-01


    Anmerkungen:

    doi:10.3934/mbe.2021272



    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Klassifikation :

    DDC:    629




    Crop disease and pest control equipment with good stability

    DI BING | Europäisches Patentamt | 2023

    Freier Zugriff

    High-power microwave precise radiation crop pest control system

    ZHAO YU / REN MEILI / LI QIANG et al. | Europäisches Patentamt | 2021

    Freier Zugriff

    SITUATIONAL AWARENESS AND SECURITY DURING SUBSEA INTERVENTIONS

    JAMIESON JAMES ANDREW | Europäisches Patentamt | 2024

    Freier Zugriff

    Crop disease and pest identification assembly based on Internet of Things

    CHEN QIANG / WANG LIXIAO | Europäisches Patentamt | 2024

    Freier Zugriff

    AUTOMATED FARMING SYSTEM FOR A ROW CROP INSTALLATION

    ROSSI CLAUDIO / CORELLI GRAPPADELLI LUCA | Europäisches Patentamt | 2023

    Freier Zugriff