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 Teachers
国际会议
山东泰安
英文
534-540
2008-07-25（万方平台首次上网日期，不代表论文的发表时间）