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• W3097331370 abstract "This paper is devoted to study the wave propagation and its stability for a class of two-component discrete diffusive systems. We first establish the existence of positive monotone monostable traveling wave fronts. Then, applying the techniques of weighted energy method and the comparison principle, we show that all solutions of the Cauchy problem for the discrete diffusive systems converge exponentially to the traveling wave fronts when the initial perturbations around the wave fronts lie in a suitable weighted Sobolev space. Our main results can be extended to more general discrete diffusive systems. We also apply them to the discrete epidemic model with the Holling-II type and Richer type effects." @default.
• W3097331370 created "2020-11-09" @default.
• W3097331370 creator A5033551832 @default.
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• W3097331370 date "2020-11-02" @default.
• W3097331370 modified "2023-09-29" @default.
• W3097331370 title "Wave propagation and its stability for a class of discrete diffusion systems" @default.
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• W3097331370 doi "https://doi.org/10.1007/s00033-020-01423-4" @default.
• W3097331370 hasPublicationYear "2020" @default.
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