Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1221.35423
Wang, Weiming; Lin, Yezhi; Zhang, Lei; Rao, Feng; Tan, Yongji
Complex patterns in a predator-prey model with self and cross-diffusion. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 2006-2015 (2011). ISSN 1007-5704

Summary: We present a theoretical analysis of processes of pattern formation that involves organisms distribution and their interaction of spatially distributed population with self as well as cross-diffusion in a Beddington-DeAngelis-type predator-prey model. The instability of the uniform equilibrium of the model is discussed, and the sufficient conditions for the instability with zero-flux boundary conditions are obtained. Furthermore, we present novel numerical evidence of time evolution of patterns controlled by self as well as cross-diffusion in the model, and find that the model dynamics exhibits a cross-diffusion controlled formation growth not only to stripes-spots, but also to hot/cold spots, stripes and wave pattern replication. This may enrich the pattern formation in cross-diffusive predator-prey model.

MSC 2000:: *35Q92
92D25 Population dynamics
35K51

Keywords: predator-prey model; Beddington-DeAngelis-type functional response; cross-diffusion; pattern formation

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]