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Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant

Author

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  • Haileyesus Tessema Alemneh
  • Oluwole Daniel Makinde
  • David Mwangi Theuri

Abstract

In this paper, an ecoepidemiological deterministic model for the transmission dynamics of maize streak virus (MSV) disease in maize plant is proposed and analysed qualitatively using the stability theory of differential equations.The basic reproduction number with respect to the MSV free equilibrium is obtained using next generation matrix approach. The conditions for local and global asymptotic stability of MSV free and endemic equilibria are established. The model exhibits forward bifurcation and the sensitivity indices of various embedded parameters with respect to the MSV eradication or spreading are determined. Numerical simulation is performed and dispalyed graphically to justify the analytical results.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:7965232
    DOI: 10.1155/2019/7965232
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    Cited by:

    1. Benito Chen-Charpentier, 2021. "Stochastic Modeling of Plant Virus Propagation with Biological Control," Mathematics, MDPI, vol. 9(5), pages 1-16, February.
    2. Ali, Hegagi Mohamed & Ameen, Ismail Gad & Gaber, Yasmeen Ahmed, 2024. "The effect of curative and preventive optimal control measures on a fractional order plant disease model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 496-515.
    3. Ameen, Ismail Gad & Baleanu, Dumitru & Ali, Hegagi Mohamed, 2022. "Different strategies to confront maize streak disease based on fractional optimal control formulation," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Kumar, Pushpendra & Erturk, Vedat Suat & Vellappandi, M. & Trinh, Hieu & Govindaraj, V., 2022. "A study on the maize streak virus epidemic model by using optimized linearization-based predictor-corrector method in Caputo sense," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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