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.
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