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Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, ISSN 1471-2962, 2018, Volume 376, Issue 2135, p. 20170375
Spatially localized structures in the one-dimensional Gray-Scott reaction-diffusion model are studied using a combination of numerical continuation techniques and weakly nonlinear theory, focusing... 
Turing instability | Gray–Scott model | Localized structures | Gray-Scott model | SEMIARID VEGETATION | MULTIDISCIPLINARY SCIENCES | PATTERNS | STIRRED TANK REACTOR | AUTOCATALYTIC REACTIONS | SWIFT-HOHENBERG EQUATION | STATIC SPIKE AUTOSOLITONS | localized structures | HOMOCLINIC ORBITS | OSCILLATIONS | DISSIPATIVE SYSTEMS | BIFURCATION | 1008 | 119
Journal Article
Chemical Engineering Science, ISSN 0009-2509, 11/2016, Volume 155, pp. 233 - 238
In this work, the evolution of entropy production in the Gray–Scott model (P. Gray and S. K. Scott, Chemical Engineering Science 38... 
Extremal tendency | Heterogeneous structures | Entropy production | Compromise | Steady state | Gray–Scott model | Gray-Scott model | STIRRED-TANK REACTOR | MAXIMUM | ENGINEERING, CHEMICAL | CHEMICAL-SYSTEM | DYNAMICS | IRREVERSIBLE-PROCESSES | RECIPROCAL RELATIONS | CLIMATE
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 09/2019, Volume 29, Issue 10, p. 1950136
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 06/2017, Volume 27, Issue 7, p. 1730024
We study the spatially homogeneous time-dependent solutions and their bifurcations in the Gray–Scott model... 
Gray-Scott model | Takens-Bogdanov bifurcation | Bautin bifurcation | PATTERN-FORMATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES
Journal Article
International journal of bifurcation and chaos in applied sciences and engineering, ISSN 0218-1274, 08/2015, Volume 25, Issue 9, p. 1550125
Journal Article
Proceedings of the National Academy of Sciences - PNAS, ISSN 1091-6490, 2018, Volume 115, Issue 44, pp. 11256 - 11261
Journal Article
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 11/2017, Volume 263, Issue 9, pp. 5507 - 5520
This paper is concerned with a semilinear elliptic inhomogeneous equationΔu−u+(1+a|x|q)up=0 introduced in Chen and Kolokolnikov (2012) [2] as a simple... 
Reaction–diffusion equation | Liouville type theorem | Critical exponent | Spot self-replication | EXISTENCE | GRAY-SCOTT MODEL | Lionville type theorem | STRIPE | POSITIVE SOLUTIONS | STABILITY | PATTERNS | MATHEMATICS | Reaction-diffusion equation | REACTION-DIFFUSION SYSTEMS | SELF-REPLICATION | DYNAMICS | ELLIPTIC-EQUATIONS
Journal Article
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 12/2018, Volume 376, Issue 2135, p. 20170385
Journal Article
SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, 2017, Volume 16, Issue 1, pp. 597 - 639
Journal Article
SIAM journal on applied mathematics, ISSN 1095-712X, 2018, Volume 78, Issue 1, pp. 291 - 319
We study pattern formation in a 2D reaction-diffusion (RD) subcellular model characterizing the effect of a spatial gradient of a plant hormone distribution on a family of G-proteins associated with root hair (RH... 
Pattern formation | Nonlocal eigenvalue problems | Biomathematics | Nonhomogeneous reaction-diffusion system | Bifurcation analysis | Localized structures | GIERER-MEINHARDT MODEL | MATHEMATICS, APPLIED | GRAY-SCOTT MODEL | nonhomogeneous reaction-diffusion system | nonlocal eigenvalue problems | STRIPE | STABILITY | PATTERNS | bifurcation analysis | biomathematics | AUXIN TRANSPORT | SPIKE | localized structures | ARABIDOPSIS | pattern formation | CELL | TIP GROWTH
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 04/2016, Volume 26, Issue 4, p. 1650066
Journal Article
International Journal of Nonlinear Sciences and Numerical Simulation, ISSN 1565-1339, 10/2015, Volume 16, Issue 6, pp. 271 - 284
Journal Article
PloS one, ISSN 1932-6203, 2013, Volume 8, Issue 10, p. e77337
Journal Article
SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, 2017, Volume 16, Issue 1, pp. 294 - 336
... patterns of the Schnakenberg activator-inhibitor model with bulk feed-rate A in the singularly perturbed limit of small diffusivity epsilon(2... 
Localized spot patterns in three dimensions | Stability analysis | Reaction-diffusion system | Slow dynamics | EXISTENCE | MATHEMATICS, APPLIED | GRAY-SCOTT MODEL | DOMAIN | stability analysis | SPHERE | reaction-diffusion system | localized spot patterns in three dimensions | PHYSICS, MATHEMATICAL | R-2 | SYSTEMS | slow dynamics | BIFURCATION
Journal Article