In this model, the transition probability density function J(w) is assumed to have form 4(w) = wP, and the production of chemoattractant w is assumed to ...

In this paper we consider the stability properties of such spiky states. We show that K symmetric spikes are stable if the domain length is sufficiently large.

Abstract. In the limit of small chemo-attractant diffusivity e, the existence, stability, and dynamics of spiky patterns in a chemotaxis model is studied in ...

Abstract. In the limit of small chemoattractant diffusivity , the existence, stability, and dynamics of spiky patterns in a chemotaxis model are studied in ...

In the limit of small chemoattractant diffusivity $\epsilon$, the existence, stability, and dynamics of spiky patterns in a chemotaxis model are studied in ...

In the limit of small chemo-attractant diiusivity , the existence, stability, and dynamics of spiky patterns in a chemotaxis model is studied in a bounded multi ...

Nov 22, 2019 · In this paper, we establish the existence of a single radial symmetric spike solution for the system in the one and two-dimensional cases.

Aug 19, 2020 · From the point of view of reaction–diffusion systems, the model is a chemotactic system with cross diffusion that exhibit hotspot phenomena. In ...

Feb 14, 2020 · In the two- dimensional case, when τ is small enough, the spike solution is linearly stable; while when τ is large enough, the spike solution is ...

The existence and stability of spike solutions for a chemotax is system modeling crime pattern formation. Linfeng Mei and; Juncheng Wei. Linfeng Mei. College of ...