Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator

被引:31
作者
Tang, SY [1 ]
Chen, LS [1 ]
机构
[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 04期
基金
中国国家自然科学基金;
关键词
predator-prey model; age-structure; quasiperiodic solutions; chaos;
D O I
10.1142/S0218127403007011
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We subject the classical Volterra predator-prey ecosystem model with age structure for predator to periodic forcing, which in its unforced state has a globally stable focus as its equilibrium. The periodic forcing is affected by assuming a periodic variation in the intrinsic growth rate of prey. By using the Poincare surface-of-section technique and numerical experiments, an abundance of periodic solutions, quasiperiodic solutions and chaotic solutions are revealed. The route of transitions to chaos were found to be very complex which include quasiperiodicity and frequency locking.
引用
收藏
页码:973 / 980
页数:8
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