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Ecoepidemiological Model and Optimal Control Analysis of Tomato Yellow Leaf Curl Virus Disease in Tomato Plant

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  • Berhe Nerea Kahsay
  • Oluwole D. Makinde

Abstract

The purpose of this study is to analyze the impact of control strategies, namely, insecticide spray, roguing of a diseased tomato plant, and protective netting to protect tomato plant from tomato yellow leaf curl virus disease (TYLCVD). For this, we formulate and analyze a simple deterministic model for the transmission dynamics of TYLCVD that incorporates these control strategies. We initially take into account the constant control case, we calculate the basic reproduction number, and we investigate the existence and stability of the disease‐free and endemic equilibria. We use the Kamgang‐Sallet stability to ensure that the disease‐free equilibrium point is globally asymptotically stable when the reproduction number R0 is less than one. This indicates that TYLCVD dies out independent of the initial size of the tomato population. For R0

Suggested Citation

  • Berhe Nerea Kahsay & Oluwole D. Makinde, 2023. "Ecoepidemiological Model and Optimal Control Analysis of Tomato Yellow Leaf Curl Virus Disease in Tomato Plant," Journal of Applied Mathematics, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnljam:v:2023:y:2023:i:1:n:4066236
    DOI: 10.1155/2023/4066236
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    References listed on IDEAS

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    1. Haileyesus Tessema Alemneh & Oluwole Daniel Makinde & David Mwangi Theuri, 2019. "Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2019, pages 1-14, January.
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    Cited by:

    1. Kiros G. Kebedow & Shegaye Lema Cheru & Tesfaye Tadesse Ega, 2025. "Optimal Control Strategies in a Diseased Prey–Predator Model With Holling Type‐II Dynamics," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).

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