The global existence and asymptotic stability of solutions for a reaction-diffusion system
DOI10.1016/j.nonrwa.2019.103052zbMath1429.35116arXiv1711.00976OpenAlexW2991051525MaRDI QIDQ2289742
Salem Abdelmalek, Samir Bendoukha, Mukhtar Bin Muhammad Kirane
Publication date: 24 January 2020
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.00976
Lyapunov functionalglobal asymptotic stabilityreaction-diffusion equationsFitzHugh-Nagumo modelLengyel-Epstein system
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (2)
Cites Work
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- On the global dynamics of the Lengyel-Epstein system
- On the global asymptotic stability of solutions to a generalised Lengyel-Epstein system
- Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
- Pulse dynamics in a three-component system: Existence analysis
- Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system
- Stability and periodic solutions of ordinary and functional differential equations
- Standing pulse solutions for the FitzHugh-Nagumo equations
- Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
- Extended global asymptotic stability conditions for a generalized reaction-diffusion system
- Hopf bifurcation and Turing instability of 2-D Lengyel-Epstein system with reaction-diffusion terms
- On the stability and nonexistence of turing patterns for the generalized Lengyel-Epstein model
- Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
- A chemical approach to designing Turing patterns in reaction-diffusion systems.
- Stability Properties of Solutions to Systems of Reaction-Diffusion Equations
- The chemical basis of morphogenesis
- Turing patterns in the Lengyel-Epstein system for the CIMA reaction
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