Asymptotic behavior of a competition-diffusion system with variable coefficients and time delays.
Zapata, Miguel Uh, Vales, Eric Avila, Estrella, Angel G. (2008)
Journal of Applied Mathematics
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Displaying similar documents to “Asymptotic behavior of the numerical solutions of time-delayed reaction diffusion equations with non-monotone reaction term”
Asymptotic behavior of a competition-diffusion system with variable coefficients and time delays.
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This paper deals with nonlinear diffusion problems involving degenerate parabolic problems, such as the Stefan problem and the porous medium equation, and cross-diffusion systems in population ecology. The degeneracy of the diffusion and the effect of cross-diffusion, that is, nonlinearities of the diffusion, complicate its analysis. In order to avoid the nonlinearities, we propose a reaction-diffusion system with solutions that approximate those of the nonlinear diffusion problems....
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On the Origin of Chaos in the Belousov-Zhabotinsky Reaction in Closed and Unstirred Reactors
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Mathematical Modelling of Natural Phenomena
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We investigate the origin of deterministic chaos in the Belousov–Zhabotinsky (BZ) reaction carried out in closed and unstirred reactors (CURs). In detail, we develop a model on the idea that hydrodynamic instabilities play a driving role in the transition to chaotic dynamics. A set of partial differential equations were derived by coupling the two variable Oregonator–diffusion system to the Navier–Stokes equations. This approach allows us to shed light on the correlation between chemical...