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Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator
Tang, SY; Chen, LS
2003-04-01
发表期刊INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN0218-1274
卷号13期号:4页码:973-980
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.
关键词predator-prey model age-structure quasiperiodic solutions chaos
语种英语
WOS研究方向Mathematics ; Science & Technology - Other Topics
WOS类目Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号WOS:000183292800015
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/19035
专题中国科学院数学与系统科学研究院
通讯作者Tang, SY
作者单位Acad Sinica, Inst Math, Beijing 100080, Peoples R China
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Tang, SY,Chen, LS. Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2003,13(4):973-980.
APA Tang, SY,&Chen, LS.(2003).Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,13(4),973-980.
MLA Tang, SY,et al."Quasiperiodic solutions and chaos in a periodically forced predator-prey model with age structure for predator".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 13.4(2003):973-980.
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