Spiral Pattern Formation in a Hassell-Varley Predator-Prey Model#

Author

Gao, Jin ; Yang, Feng ; Zhao, Min

Author_Institution

Coll. of Math. & Inf. Sci., Wenzhou Univ., Wenzhou, China

fYear

2009

fDate

19-20 Dec. 2009

Firstpage

1

Lastpage

4

Abstract

This paper reports an investigation of the emergence of a ratio-dependent predator-prey system with Hassell-Varley-type functional response and reaction diffusion. The instability of the uniform equilibrium of the model is discussed. The conditions for Hopf and Turing bifurcation are obtained in a spatial domain. Furthermore, spatial pattern formation is illustrated by means of numerical simulation, which shows that different parameters lead to different patterns. The result can be expected to have far-reaching influence on real bionomics and may help us to understand better the dynamics of ecosystems.

Keywords

predator-prey systems; Hassell-Varley-type functional response; Hassell-Varley-type reaction diffusion; bionomics; ratio-dependent predator-prey system; spiral pattern formation; Bifurcation; Biological system modeling; Educational institutions; Environmental factors; Equations; Numerical simulation; Pattern formation; Predator prey systems; Spatiotemporal phenomena; Spirals;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-4994-1

Type

conf

DOI

10.1109/ICIECS.2009.5362652

Filename

5362652