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Impact of incubation delay in plant–vector interaction

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  • Ray, Santanu
  • Basir, Fahad Al

Abstract

Knowledge of the incubation period of infectious diseases is crucial to our understanding of epidemiological phenomena and for the design of appropriate prevention and control policies. In this article, a mathematical model has been formulated for the transmission dynamics of vector-borne plant disease considering incubation period as the time delay factor. Existence of the equilibria and their stability has been studied on the basis of basic reproduction number. The region of stability of the steady states is presented in different parameter subspaces. Stability changes occur through Hopf bifurcation in both the delayed and nondelayed system. Analytical and numerical findings suggest that the role of incubation delay is stabilising the coexistence equilibrium and epidemics can be successful if host plant has shorter incubation period.

Suggested Citation

  • Ray, Santanu & Basir, Fahad Al, 2020. "Impact of incubation delay in plant–vector interaction," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 170(C), pages 16-31.
    • Handle: RePEc:eee:matcom:v:170:y:2020:i:c:p:16-31
    DOI: 10.1016/j.matcom.2019.09.001
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    References listed on IDEAS

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    1. Basir, Fahad Al & Ray, Santanu & Venturino, Ezio, 2018. "Role of media coverage and delay in controlling infectious diseases: A mathematical model," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 372-385.
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    Cited by:

    1. Jiao, Xubin & Liu, Xiuxiang, 2024. "Rich dynamics of a delayed Filippov avian-only influenza model with two-thresholds policy," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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