Spiral Waves Emergence in a Cyclic Predator-Prey Model

Luo-Luo Jiang; Wen-Xu Wang; Xin Huang; Bing-Hong Wang

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Spiral Waves Emergence in a Cyclic Predator-Prey Model

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@INPROCEEDINGS{10.1007/978-3-642-02466-5_89,
    author={Luo-Luo Jiang and Wen-Xu Wang and Xin Huang and Bing-Hong Wang},
    title={Spiral Waves Emergence in a Cyclic Predator-Prey Model},
    proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
    proceedings_a={COMPLEX PART 1},
    year={2012},
    month={5},
    keywords={cyclic predator-prey model pattern formation spiral waves},
    doi={10.1007/978-3-642-02466-5_89}
}

Luo-Luo Jiang
Wen-Xu Wang
Xin Huang
Bing-Hong Wang
Year: 2012
Spiral Waves Emergence in a Cyclic Predator-Prey Model
COMPLEX PART 1
Springer
DOI: 10.1007/978-3-642-02466-5_89

Luo-Luo Jiang¹^,*, Wen-Xu Wang², Xin Huang¹, Bing-Hong Wang¹^,*

1: University of Science and Technology of China
2: Arizona State University

*Contact email: jiangluo@mail.ustc.edu.cn, bhwang@ustc.edu.cn

Abstract

Based on a cyclic predator-prey model of three species, spiral waves on global level of the system are obtained. It is found that the predation intensity greatly affects on the behaviors of spiral waves. The wavelength of spiral waves alter with the mobility in the form of ~ . Values of are determined by predation rates between species. It indicates the behaviors of spiral waves varying with mobility are universal at the same predation rate which reveals competition of resources among species.

Keywords: cyclic predator-prey model pattern formation spiral waves

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02466-5_89