Title :
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
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;
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
DOI :
10.1109/ICCASM.2010.5622401
