Spatial patterns and spatiotemporal dynamics in chemical systems
A De Wit - Applications of Fractional Calculus in Physics, Adv …, 2007 - books.google.com
Spatial patterns and spatiotemporal dynamics in chemical systems Page 448 SPATIAL
PATTERNS AND SPATIOTEMPORAL DYNAMICS IN CHEMICAL SYSTEMS A. DE WIT Service …
PATTERNS AND SPATIOTEMPORAL DYNAMICS IN CHEMICAL SYSTEMS A. DE WIT Service …
Pattern formation in discrete cell lattices
E Plahte - Journal of Mathematical Biology, 2001 - Springer
In recent years, models for lattices of discrete cells have been attracting increased attention
due to their greater flexibility to represent signalling and contact-dependent cell-cell …
due to their greater flexibility to represent signalling and contact-dependent cell-cell …
Non-reciprocal interactions enhance heterogeneity
T Carletti, R Muolo - Chaos, Solitons & Fractals, 2022 - Elsevier
We study a process of pattern formation for a generic model of species anchored to the
nodes of a network where local reactions take place, and that experience non-reciprocal …
nodes of a network where local reactions take place, and that experience non-reciprocal …
Spatiotemporal dynamical analysis of a predator–prey system with fear and group defense in prey
This paper considers a diffusive prey–predator system with fear and group defense in the
prey population. Also, we consider that the mortality of predators is linear and quadratic. By …
prey population. Also, we consider that the mortality of predators is linear and quadratic. By …
Finite propagation enhances turing patterns in reaction–diffusion networked systems
T Carletti, R Muolo - Journal of Physics: Complexity, 2021 - iopscience.iop.org
We hereby develop the theory of Turing instability for reaction–diffusion systems defined on
complex networks assuming finite propagation. Extending to networked systems the …
complex networks assuming finite propagation. Extending to networked systems the …
Positive effect of predator's mortality in predator-prey system via turing patterns
Hydra effect is the positive effect which defines that the population of species increases with
an increase in mortality. Hence, this paper encapsulates the positive effect of predator …
an increase in mortality. Hence, this paper encapsulates the positive effect of predator …
Unstable subsystems cause Turing instability
A Anma, K Sakamoto, T Yoneda - Kodai Mathematical Journal, 2012 - jstage.jst.go.jp
We study Turing instabilities in 3-component reaction-diffusion systems. The existence of a
complementary pair of stable-unstable subsystems always gives rise to Turing instability for …
complementary pair of stable-unstable subsystems always gives rise to Turing instability for …
Turing instabilities and patterns near a Hopf bifurcation
R Dilão - Applied mathematics and computation, 2005 - Elsevier
We derive a necessary and sufficient condition for Turing instabilities to occur in two-
component systems of reaction-diffusion equations with Neumann boundary conditions. We …
component systems of reaction-diffusion equations with Neumann boundary conditions. We …
Morphological transitions and bistability in Turing systems
It is well known that in two dimensions Turing systems produce spots, stripes and
labyrinthine patterns, and in three dimensions lamellar and spherical structures, or their …
labyrinthine patterns, and in three dimensions lamellar and spherical structures, or their …
Conservation laws in biochemical reaction networks
We study the existence of linear and nonlinear conservation laws in biochemical reaction
networks with mass-action kinetics. It is straightforward to compute the linear conservation …
networks with mass-action kinetics. It is straightforward to compute the linear conservation …