A priori bounds for reaction-diffusion systems arising in chemical and biological dynamics

DOI10.1016/j.amc.2003.10.016zbMath1073.35107OpenAlexW2069498572MaRDI QIDQ1774912

Kyle L. Riley, Jeff S. McGough

Publication date: 4 May 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.10.016

zbMATH Keywords

homogeneous Neumann boundary conditionsSIR modelSelkov modelGray-Scott systemautocatalytic reactions

Mathematics Subject Classification ID

Related Items (5)

Solution of dual boundary layer singular perturbation problem by septic Hermite collocation technique ⋮ Study of Self-Adjoint Singularly Perturbed BVP by Septic Hermite Collocation Method ⋮ Global existence in reaction-diffusion systems with control of mass: a survey ⋮ An improved extrapolated collocation technique for singularly perturbed problems using cubic B-spline functions ⋮ Positive solutions of the second-order differential systems in reactor dynamics

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions
• Spatial patterns in coupled biochemical oscillators
• Linear and quasilinear elliptic equations
• Global bifurcation in the Brusselator system
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