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Final State Of Ecosystem Containing Grass, Sheep And Wolves With Aging

Author

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  • MINGFENG HE

    (Department of Applied Mathematics, Dalian University of Technology, Institute of University Students' Innovation, Dalian University of Technology, Dalian, 116024, China)

  • QIU-HUI PAN

    (Institute of University Students' Innovation, Dalian University of Technology, Department of Applied Physics, Dalian University of Technology, Dalian, 116024, China)

  • SHUANG WANG

    (Institute of University Students' Innovation, Dalian University of Technology, Department of Applied Physics, Dalian University of Technology, Dalian, 116024, China)

Abstract

This paper describes a cellular automata model containing movable wolves, sheep and reproducible grass. Each wolf or sheep is characterized by Penna bitstrings. In addition, we introduce the energy rule and the predator–prey mechanism for wolf and sheep. With considering age-structured, genetic strings, minimum reproduction age, cycle of the reproduction, number of offspring, we get three possible states of a predator–prey system: the coexisting one with predators and prey, the absorbing one with prey only, and the empty one where no animal survived. In this paper, we mainly discuss the effect of the number of poor genes, the energy supply (food), the minimum reproduction age, the reproductive cycle and the birth rate on the above three possible final states.

Suggested Citation

  • Mingfeng He & Qiu-Hui Pan & Shuang Wang, 2005. "Final State Of Ecosystem Containing Grass, Sheep And Wolves With Aging," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 177-190.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:01:n:s0129183105007017
    DOI: 10.1142/S0129183105007017
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    References listed on IDEAS

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    1. Hoover, W.G., 1995. "Comment on “Two disks in a box” [R.J. Speedy, Physica A 210 (1994) 341]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(1), pages 195-195.
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