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A Mechanism for Turing Pattern Formation with Active and Passive Transport

SIAM Journal on Applied Dynamical Systems, 2016
Heather A. Brooks, P. Bressloff
semanticscholar +1 more source

Well‐Posedness and Pattern Formation in a Two‐Species Reaction–Diffusion System with Nonlocal Perception

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT Nonlocal perceptual cues, such as visual, auditory, and olfactory signals, profoundly influence animal movement and the emergence of ecological patterns. To capture these effects, we introduce a two‐species reaction–diffusion system with mutual nonlocal perception on a two‐dimensional periodic domain.
Yaqi Chen, Ben Niu, Hao Wang
wiley +1 more source

The cosymplectic Chern–Hamilton conjecture

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr +3 more
wiley +1 more source

Persistent Homology Classifies Parameter Dependence of Patterns in Turing Systems. [PDF]

Bull Math Biol
Spector R, Harrington HA, Gaffney EA.
europepmc +1 more source

Emergent stable tissue shapes from the regulatory feedback between morphogens and cell growth. [PDF]

J Theor Biol
Kaity B, Lobo D.
europepmc +1 more source

Stabilising spatiotemporal dynamics of mussel-algae coupled map lattices model via proportional-differential control. [PDF]