Tissue regeneration is a process that recapitulates and restores organ structure and
function. Although previous studies have demonstrated wound-induced hair neogenesis …

We are concerned with the Turing instability and pattern caused by cross-diffusion in a
strongly coupled spatial predator–prey system. We explore how cross-diffusion destabilizes …

Reaction–diffusion systems are an intensively studied form of partial differential equation,
frequently used to produce spatially heterogeneous patterned states from homogeneous …

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 …

Hyperbolic reaction–diffusion equations have recently attracted attention both for their
application to a variety of biological and chemical phenomena, and for their distinct features …

The study of pattern-forming instabilities in reaction–diffusion systems on growing or
otherwise time-dependent domains arises in a variety of settings, including applications in …

Abstract The Turing and Turing-Hopf bifurcations of a Leslie-Gower type predator-prey
system with ratio-dependent Holling III functional response are investigated in this paper …

Pattern forming systems allow for a wealth of states, where wavelengths and orientation of
patterns varies and defects disrupt patches of monocrystalline regions. Growth of patterns …

In this paper, we propose an explicit time-stepping scheme for the pattern formation in
reaction–diffusion systems on evolving surfaces. The proposed numerical method is based …

In the real world, group formation is ubiquitous. This group behavior is according to the
species' needs; some species use it for hunting and some for protection from predators. In …