In this work, we study the dual effects of linear cross-diffusion and geometry on reaction–
diffusion systems for pattern formation on rectangular domains. The spatiotemporal …

The dynamics of a general Selkov–Schnakenberg reaction–diffusion model is investigated.
We first study the globally stability of the positive equilibrium and the existence of Hopf …

This paper examines a class of two-species reaction-diffusion-advection competition models
with two time delays. A system of DDE equations was derived, both theoretically and …

In this paper, we discuss the analysis and the numerical solution of the time-space fractional
Schnakenberg reaction-diffusion model with a fixed time delay. This model is a natural …

This paper studies a diffusive viral infection system with delayed immune response in the
one-domain system. A system of DDE equations was explored, both analytically and …

We analyse shock wave behaviour in a hyperbolic diffusion system with a general forcing
term which is qualitatively not dissimilar to a logistic growth term. The amplitude behaviour is …

This paper investigates the effect of a gene expression time delay on the Brusselator model
with reaction and diffusion terms in one dimension. We obtain ODE systems analytically by …

In this research article, we analyzed the fractional order Selkov-Schnakenberg system under
consideration for the sake of classical regularity and analytical solutions. The existence and …

Developing appropriate spatiotemporal models can help us understand at the molecular
level how organisms function, when and where certain genes are expressed, and to what …

The dynamics of a delay Sel'kov–Schnakenberg reaction–diffusion system are explored.
The existence and the occurrence conditions of the Turing and the Hopf bifurcations of the …