Dynamic complexities in ratio-dependent predator-prey ecosystem models with birth pulse and pesticide pulse
文献类型：期刊论文
| 作者 | Hui, J; Chen, LS |
| 刊名 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
 |
| 出版日期 | 2004-08-01 |
| 卷号 | 14期号:8页码:2893-2903 |
| 关键词 | ratio-dependent birth pulse pesticide pulse Ricker function Beverton-Holt function period-doubling bifurcation period-halving bifurcation chaos |
| ISSN号 | 0218-1274 |
| 英文摘要 | sIn many models of pest control, increases in pest population due to birth are assumed to be continuous, but in fact, pest population reproduces only during a single period; at the same time, pesticides are often applied during the period. So in this paper we propose a ratio-dependent predator-prey model with birth pulse and pesticide pulse. Using the discrete dynamical system determined by the stroboscopic map, we obtain an exact periodic solution of systems which have Ricker functions or Beverton-Holt functions, and obtain the threshold conditions for their stability. Above the threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behaviors of the ratio-dependent predator-prey model with birth pulse and pesticide pulse are very complex, including small-amplitude oscillations, large-amplitude cycles and chaos. This suggests that birth pulse and pesticide pulse, in effect, provide a natural period or cyclicity that allows for period-doubling bifurcation and period-halving bifurcation route to chaos. |
| WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
| 语种 | 英语 |
| WOS记录号 | WOS:000224603300020 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/569]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Hui, J |
| 作者单位 | 1.Guangxi Univ Technol, Dept Informat & Computat Sci, Liuzhou 545006, Peoples R China 2.E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China 3.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hui, J,Chen, LS. Dynamic complexities in ratio-dependent predator-prey ecosystem models with birth pulse and pesticide pulse[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2004,14(8):2893-2903. |
| APA | Hui, J,&Chen, LS.(2004).Dynamic complexities in ratio-dependent predator-prey ecosystem models with birth pulse and pesticide pulse.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,14(8),2893-2903. |
| MLA | Hui, J,et al."Dynamic complexities in ratio-dependent predator-prey ecosystem models with birth pulse and pesticide pulse".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 14.8(2004):2893-2903. |
入库方式： OAI收割
来源：数学与系统科学研究院
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