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This paper studies the dynamics of the generalized Lengyel-Epstein reaction-diffusion model proposed in a recent study by Abdelmalek and Bendoukha. Two main results are shown in this paper. The first… Click to show full abstract
This paper studies the dynamics of the generalized Lengyel-Epstein reaction-diffusion model proposed in a recent study by Abdelmalek and Bendoukha. Two main results are shown in this paper. The first of which is sufficient conditions that guarantee the nonexistence of Turing patterns, ie, nonconstant solutions. Second, more relaxed conditions are derived for the stability of the system's unique steady-state solution.
Keywords:
nonexistence turing;
model;
lengyel epstein;
turing patterns;
generalized lengyel
Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017
Link to full text (if available)
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Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2017
Link to full text (if available)
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recommendations!