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Food chain length of a ecological model with prey-taxis

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成果类型:
期刊论文
作者:
Ma, Manjun*;Hu, Jianchao;Tao, Jicheng;Han, Yazhou
通讯作者:
Ma, Manjun
作者机构:
[Tao, Jicheng; Han, Yazhou; Ma, Manjun] China Jiliang Univ, Dept Math, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China.
[Hu, Jianchao] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构:
[Ma, Manjun] C
China Jiliang Univ, Dept Math, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China.
语种:
英文
关键词:
A multiple-level food chain model;Food chain length;Index theory in cone;Stability
期刊:
Applied Mathematics and Computation
ISSN:
0096-3003
年:
2012
卷:
219
期:
8
页码:
4013-4030
基金类别:
The authors thank the referees’ valuable comments which greatly improve the exposition of the paper. The work of the first author was supported by the National Natural Science Foundation of China Grants 11271342 , the Natural Science Foundation of Zhejiang Province Grant Y6100166 and the Project-sponsored by Hunan Provincial Education Department ( 09A080 ). The work of the last two authors’ work was supported by the Natural Science Foundation of Zhejiang Province Grant Y6110078 and Y6110118 , respectively.
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
In this paper, we construct a ecological system with prey-taxis. From the dynamic point of view we analytically and numerically investigate the steady states. Our results show how the combined action of the death rates, chemotaxis, diffusivity and conversion efficiency to influence the survival ability of multiple consumer levels in a ecological system with self-produced nutriment. Furthermore, the food chain length of our model can be determined by the co-existence conditions of all consumer level...

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