This paper studies the effects of a time-delayed feedback control on the appearance and development of spatiotemporal patterns in a reaction-diffusion system. Different types of control schemes are investigated, including single-species, diagonal, and mixed control. This approach helps to unveil different dynamical regimes, which arise from chaotic state or from traveling waves. In the case of ...

Gray-Scott model has been studied extensively in recent years. However, most of the results are in one dimensional. In this paper, we study the 2-D Gray-Scott system. We rst construct two single pulse solutions and then we establish the stability and instability of such solutions in terms of the parameters involved.

In this work, we analyze a pair of one-dimensional coupled reaction-diiusion equations known as the Gray{Scott model, in which self-replicating patterns have been observed. We focus on stationary and traveling patterns, and begin by deriving the asymptotic scaling of the parameters and variables necessary for the analysis of these patterns. Single{pulse and multiple{pulse stationary waves are s...

In this work, we analyse a pair of one-dimensional coupled reaction-diffusion equations known as the Gray–Scott model, in which self-replicating patterns have been observed. We focus on stationary and travelling patterns, and begin by deriving the asymptotic scaling of the parameters and variables necessary for the analysis of these patterns. Single-pulse and multipulse stationary waves are sho...

The A n n u a l i z e d A g r i c u l t u r a l Nonpoin t S o u r c e (ANN-AGNPS) model i s a d i s t r i b u t e d p a r a m e t e r , c o n t i n u o u s s i m u l a t i o n model d e v e l o p e d t o s i m u l a t e t h e b e h a v i o r of w a t e r s h e d or c a t c h m e n t s t h a t have a g r i c u l t u r e as t h e i r p r i m a r y l a n d u s e . I t i s b a s e d on t h e p r e ...