On a stoichiometric two predators on one prey discrete model

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成果类型：

期刊论文

作者：

Liao, Xinyuan*;Zhou, Shengfan;Ouyang, Zigen

通讯作者：

Liao, Xinyuan

作者机构：

[Liao, Xinyuan] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.

Shanghai Univ, Dept Mat Sci, Shanghai 200444, Peoples R China.

Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.

通讯机构：

[Liao, Xinyuan] N

Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.

语种：

英文

关键词：

stoichiometry;discrete model;predator-prey model;boundedness;global attractivity;SYSTEMS;DELAY

期刊：

Applied Mathematics Letters

ISSN：

0893-9659

年：

2007

卷：

期：

页码：

272-278

DOI：

10.1016/j.aml.2006.04.007

基金类别：

This work was supported by the Natural Science Foundation of China (No. 10471086) and the Educational Committee Foundation of Hunan Province (No. 05B047, 05C494). The authors would like to thank two referees for valuable comments and suggestions which helped to improve the exposition of the results.

机构署名：

本校为第一且通讯机构

院系归属：

数理学院

摘要：

In this letter, we first propose a discrete analogue of a continuous time predator-prey system, which models the dynamics of two predators on one prey [I. Loladze, Y. Kuang, J. Elser, W.F. Fagan, Competition and stoichiometry: Coexistence of two predators on one prey, Theor. Popul. Biol. 65 (2004) 1-15]. Then, we study the dynamics of this discrete model. We establish results on boundedness and global attractivity. Finally, several numerical simulations are given to support the the...

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On a stoichiometric two predators on one prey discrete model

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