Dynamics of a host-parasitoid model with Allee effect for the host and parasitoid aggregation | |
Hua Liu ; Zizhen Li ; Meng Gao ; Huawei Dai ; Zhiguang Liu | |
刊名 | Ecological Complexity |
2009 | |
卷号 | 6期号:3页码:337-345 |
关键词 | Host–parasitoid Allee Effect Aggregation Bifurcation Diagram Chaos Dynamic Complexity |
通讯作者 | Li, ZZ, Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China |
产权排序 | [Liu, Hua; Li, Zizhen; Dai, Huawei; Liu, Zhiguang] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China; [Liu, Hua] NW Univ Nationalities, Sch Comp Sci & Informat Engn, Lanzhou 730124, Peoples R China; [Li, Zizhen] Lanzhou Univ, Minist Educ, Key Lab Arid Agroecol, Lanzhou 730000, Peoples R China; [Gao, Meng] Yantai Inst Coastal Zone Res Sustainable Dev, Yantai, Peoples R China |
英文摘要 | In this paper, a discrete-time host–parasitoid model is investigated. Two biological phenomena, the Allee effect of the host population and the aggregation of the parasitism, are considered in our mathematical model. Through extensive numerical simulations, we gain some interesting findings related to Allee effect from this research. Firstly, the ranges of parameter, in which the population dynamics is chaos, are compressed when Allee effect is added. Secondly, the sensitivity to initial conditions of the host–parasitoid system decreased after adding Allee effect. Thirdly, without Allee effect, we observed two complicated dynamics, intermittent chaos and supertransients. However, when Allee effect is included, these two phenomena are replaced by another kind of phenomenon-period alternation, where chaos is eliminated. From above three novel findings, it can be concluded that dynamic complexities are alleviated by Allee effect. This conclusion is crucial in resolving the discrepancy between real population dynamics and theoretical predictions. Furthermore, the importance of this research is to help us understand the mechanisms inducing the irregular fluctuations of the natural populations. |
学科主题 | ecology |
语种 | 英语 |
公开日期 | 2011-07-21 |
内容类型 | 期刊论文 |
源URL | [http://ir.yic.ac.cn/handle/133337/4418] |
专题 | 烟台海岸带研究所_海岸带信息集成与综合管理实验室 |
推荐引用方式 GB/T 7714 | Hua Liu,Zizhen Li,Meng Gao,et al. Dynamics of a host-parasitoid model with Allee effect for the host and parasitoid aggregation[J]. Ecological Complexity,2009,6(3):337-345. |
APA | Hua Liu,Zizhen Li,Meng Gao,Huawei Dai,&Zhiguang Liu.(2009).Dynamics of a host-parasitoid model with Allee effect for the host and parasitoid aggregation.Ecological Complexity,6(3),337-345. |
MLA | Hua Liu,et al."Dynamics of a host-parasitoid model with Allee effect for the host and parasitoid aggregation".Ecological Complexity 6.3(2009):337-345. |
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