The effect of impulsive spraying pesticide on stage-structured population models with birth pulse
文献类型：期刊论文
| 作者 | Liu, B; Teng, ZD |
| 刊名 | JOURNAL OF BIOLOGICAL SYSTEMS
 |
| 出版日期 | 2005-03-01 |
| 卷号 | 13期号:1页码:31-44 |
| 关键词 | stage structure birth pulse impulsive spraying pesticide bifurcation |
| ISSN号 | 0218-3390 |
| 英文摘要 | In most models of population dynamics, increases in population due to birth are assumed to be time dependent, but many species reproduce only a single period of the year. In this paper, we construct a stage-structured pest model with birth pulse and periodic spraying pesticide at fixed time in each birth period by using impulsive differential equation. Using the discrete dynamical system determined by the stroboscopic map, we obtain an exact periodic solution of systems which are with Ricker function or Beverton-Holt function, and obtain the threshold conditions for their stability. Further, we show that the time of spraying pesticide has a strong impact on the number of the mature pest population. Our results imply that the best time of spraying pesticide is at the end of the season, that is before and near the time of birth. Finally, by numerical simulations we find that the dynamical behaviors of the stage-structured population models with birth pulse and impulsive spraying pesticide are very complex, including period-doubling cascade, period-halving cascade, chaotic bands with periodic windows and "period-adding" phenomena. |
| WOS研究方向 | Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000228336600004 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1068]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, B |
| 作者单位 | 1.Anshan Normal Univ, Dept Math, Liaonsing 114005, Peoples R China 2.Xinjiang Univ, Dept Math, Xinjiang 830046, Peoples R China 3.Acad Math & Syst Sci, Math Inst, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, B,Teng, ZD. The effect of impulsive spraying pesticide on stage-structured population models with birth pulse[J]. JOURNAL OF BIOLOGICAL SYSTEMS,2005,13(1):31-44. |
| APA | Liu, B,&Teng, ZD.(2005).The effect of impulsive spraying pesticide on stage-structured population models with birth pulse.JOURNAL OF BIOLOGICAL SYSTEMS,13(1),31-44. |
| MLA | Liu, B,et al."The effect of impulsive spraying pesticide on stage-structured population models with birth pulse".JOURNAL OF BIOLOGICAL SYSTEMS 13.1(2005):31-44. |
入库方式： OAI收割
来源：数学与系统科学研究院
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