Dynamic Complexities in Predator-Prey Ecosystem Models with Functional Response
Natural populations whose generations are non-overlapping can be modelled by difference equations that describe how the population evolves in discrete time-steps. In the 1970s ecological research detected chaos and other forms of complex dynamics in simple population dynamics models, initiating a new research tradition in ecology. However, in former studies most of the investigations of complex population dynamics were mainly concentrated on single populations instead of higher dimensional ecological systems.This paper reports a recent study on the complicated dynamics occurring in class of discrete-time models of predator-prey interaction, Beddington-DeAngelis functional response and Monod-Haldane or Holling type IV functional response are applied to these predator-prey models. The complexities include (a)chaotic bands with periodic windows, pitchfork and tangent bifurcations, (b) attractor crises, (c) chaotic attractors, (d)intermittency,(e) supertransients, and (f) periodic doubling cascade.
predator-prey system functional response bifurcation Chaos.
Shuwen Zhang Dejun Tan
College of Science ,Jimei University, Xiamen, Fujian, 361021, P.R.china College of Science ,Jimei University, Xiamen, Fujian, 361021, P.R.china;College of Education of Teac
国际会议
The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)
长沙
英文
534-540
2008-06-12（万方平台首次上网日期，不代表论文的发表时间）