Affiliation:
1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India
Abstract
Knowledge of the timing of the incubation period in plant and maturation
period of vector are crucial in our understanding of vector born viral
diseases and in the design of appropriate prevention. In this paper, we have
formulated a model on the dynamics for Cassava Mosaic diseases considering
incubation period in plant and maturation period of vectors as time delay
factors. The mathematical model includes susceptible vectors, infected
vectors, healthy plant, and infected plant populations. Depending on the
system parameters, we identify conditions for biological viability and
stability of different steady states of the non-delay model. We perform
stability analysis and numerical simulation to evaluate the various
parameters? role and demonstrate model behavior in different dynamical
regimes. We suggest that incubation delay may destabilize epidemiological
dynamics. A coexistence equilibrium can lose stability at a moderate level
of maturation delay and restore stability if the maturation delay is
significant.
Publisher
National Library of Serbia
Cited by
3 articles.
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