Abstract ROPs (Rho of Plants) are plant specific small GTPases involved in many membrane
patterning processes and play important roles in the establishment and communication of …

Turing-Hopf bifurcation is considered as an important mechanism for generating complex
spatio-temporal patterns in dynamical systems. In this work, the normal form up to the third …

We study two-species reaction–diffusion systems on growing manifolds, including situations
where the growth is anisotropic yet dilational in nature. In contrast to the literature on linear …

Realistic examples of reaction–diffusion phenomena governing spatial and spatiotemporal
pattern formation are rarely isolated systems, either chemically or thermodynamically …

Nature is a blossoming of regular structures, signature of self-organization of the underlying
microscopic interacting agents. Turing theory of pattern formation is one of the most studied …

We consider a specific form of domain invasion that is an abstraction of pancreatic tissue
eliminating precancerous mutant cells through juxtacrine signalling. The model is explored …

Turing's theory of morphogenesis is a generic mechanism to produce spatial patterning from
near homogeneity. Although widely studied, we are still able to generate new results by …

The normal forms up to the third order for a Hopf-steady state bifurcation of a general system
of partial functional differential equations (PFDEs) is derived based on the center manifold …

In this article, Turing instability and the formations of spatial patterns for a general two-
component reaction-diffusion system defined on 2D bounded domain, are investigated. By …

In this paper, we present a framework for investigating coloured noise in reaction–diffusion
systems. We start by considering a deterministic reaction–diffusion equation and show how …