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• W3203000736 abstract "In this article, an implicit numerical design is formulated for finding the numerical solution of spatiotemporal nonlinear dynamical system with advection. Such type of problems arise in many fields of life sciences, mathematics, physics and engineering. The epidemic model describes the population densities that have some special types of features. These features should be maintained by the numerical design. The proposed scheme, not only solves the nonlinear physical system but also preserves the structure of the state variables. Von-Neumann criteria, M-matrix theory and Taylor’s expansion are used for proving some standard results. Basic reproduction number is evaluated and its key role in deciding the stability at the equilibrium points is also investigated. Graphical solutions are also presented against the test problem." @default.
• W3203000736 created "2021-10-11" @default.
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• W3203000736 date "2021-11-01" @default.
• W3203000736 modified "2023-10-14" @default.
• W3203000736 title "Structure preserving numerical scheme for spatio-temporal epidemic model of plant disease dynamics" @default.
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• W3203000736 doi "https://doi.org/10.1016/j.rinp.2021.104821" @default.
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