Computer aided analysis of pattern formation in a semi-ratio-dependent predator-prey model

Author

Lin, Wang ; Zeng, Zhenbing

Author_Institution

Inst. of Theor. Comput., East China Normal Univ., Shanghai, China

Volume

12

fYear

2010

fDate

22-24 Oct. 2010

Abstract

In this paper, we present the analysis of a reaction-diffusion system modeling semi-ratio-dependent predator-prey interactions with Holling IV functional response. Initially the conditions for diffusion-driven instability are obtained with the help of standard analysis of the linearized model around the coexisting equilibrium point. Then we give the spatial pattern formation via numerical simulation, i.e., the evolution process of the system near the coexistence equilibrium point. Numerical simulation reveals that different kinds pattern formation for different choice of parametric values.

Keywords

biology computing; computer aided analysis; numerical analysis; predator-prey systems; reaction-diffusion systems; Holling IV functional response; computer aided analysis; diffusion-driven instability; linearized model; numerical simulation; reaction-diffusion system; semi-ratio-dependent predator-prey interaction modeling; spatial pattern formation; Biological system modeling; Evolution (biology); Mathematical model; Pattern formation; Predator prey systems; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Application and System Modeling (ICCASM), 2010 International Conference on

Conference_Location

Taiyuan

Print_ISBN

978-1-4244-7235-2

Electronic_ISBN

978-1-4244-7237-6

Type

conf

DOI

10.1109/ICCASM.2010.5622401

Filename

5622401