Spatial pattern in a diffusive predator-prey model with sigmoid ratio-dependent functional response  

作　　者：Lakshmi Narayan Guin Prashanta Kumar Mandal 

机构地区：[1]Department of Mathematics, Visva-BharatiSantiniketan 731 235, West Bengal, India

出　　处：《International Journal of Biomathematics》2014年第5期1-26,共26页生物数学学报（英文版）

摘　　要：In this paper, spatial patterns of a diffusive predator-prey model with sigmoid （Holling type III） ratio-dependent functional response which concerns the influence of logistic population growth in prey and intra-species competition among predators are investigated. The （local and global） asymptotic stability behavior of the corresponding non- spatial model around the unique positive interior equilibrium point in homogeneous steady state is obtained. In addition, we derive the conditions for Turing instability and the consequent parametric Turing space in spatial domain. The results of spatial pat- tern analysis through numerical simulations are depicted and analyzed. ~rthermore, we perform a series of numerical simulations and find that the proposed model dynamics exhibits complex pattern replication. The feasible results obtained in this paper indicate that the effect of diffusion in Turing instability plays an important role to understand better the pattern formation in ecosystem.

关 键 词：Diffusive model sigmoid functional response pursuit and evasion diffusion-driven instability spatial pattern. 

分 类 号：Q141[生物学—生态学] Q149[生物学—普通生物学]