This paper presents a study on spatiotemporal dynamics and Turing patterns in a space-
time discrete depletion type Gierer-Meinhardt model with self-diffusion and cross-diffusion …

The stability and the two-parameter bifurcation of a two-dimensional discrete Gierer–
Meinhardt system are investigated in this paper. The analysis is carried out both theoretically …

Enzymes are specialized proteins that act as biological catalysts, accelerating chemical
reactions essential for the functioning of all living cells. They play a critical role in …

The change in the color pattern of the petals of Passiflora incarnata is studied using the
chaos theory in the form of logistic maps and plotted using the corresponding bifurcation …

By using center manifold theory, Poincaré–Bendixson theorem, spatiotemporal spectrum
and dispersion relation of linear operators, the spatiotemporal dynamics of an activator …

Abstract The Gierer–Meinhardt system occurs in morphogenesis, where the development of
an organism from a single cell is modelled. One of the steps in the development is the …

In this paper, we deal with a depletion model which is constructed by an activator and a
substrate in a bounded domain. A better understanding of the asymptotic stability of constant …

A quantitative mathematical model of neurons should not only include enough details to
consider the dynamics of single neurons but also minimize the complexity of the model so …

We consider a modified Lengyel-Epstein model that is covered by a system of reaction
diffusion equations and investigate the sufficient conditions on parameters of the model at …