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

We propose a model to generate electrocardiogram signals based on a discretized reaction-
diffusion system to produce a set of three nonlinear oscillators that simulate the main …

Conservation laws are key theoretical and practical tools for understanding, characterizing,
and modeling nonlinear dynamical systems. However, for many complex systems, the …

In this paper we investigate the complex dynamics originated by a cross-diffusion-induced
subharmonic destabilization of the fundamental subcritical Turing mode in a predator-prey …

In this work we investigate the process of pattern formation induced by nonlinear diffusion in
a reaction-diffusion system with Lotka-Volterra predator-prey kinetics. We show that the …

We report on an instability arising in activator-inhibitor reaction-diffusion (RD) systems with a
simple spatial heterogeneity. This instability gives rise to periodic creation, translation, and …

In this paper the Turing pattern formation mechanism of a two components reaction-diffusion
system modeling the Schnakenberg chemical reaction is considered. In Ref.(Madzavamuse …

In this paper, we investigate from a theoretical point of view the 2D reaction-diffusion system
for electrodeposition coupling morphology and surface chemistry, presented and …

The heart's study holds paramount importance in human physiology, driving valuable
research in cardiovascular health. However, assessing Electrocardiogram (ECG) analysis …

In this paper we study the chemotaxis-system\begin {equation*}\begin {cases} u_ {t}=\Delta u-
\chi\nabla\cdot (u\nabla v)+ g (u) & x\in\Omega, t> 0,\\v_ {t}=\Delta v-v+ u & x\in\Omega, t> …