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[Retracted] The Stability of Gauss Model Having One‐Prey and Two‐Predators

Author

Listed:
  • A. Farajzadeh
  • M. H. Rahmani Doust
  • F. Haghighifar
  • D. Baleanu

Abstract

The study of the dynamics of predator‐prey interactions can be recognized as a major issue in mathematical biology. In the present paper, some Gauss predator‐prey models in which three ecologically interacting species have been considered and the behavior of their solutions in the stability aspect have been investigated. The main aim of this paper is to consider the local and global stability properties of the equilibrium points for represented systems. Finally, stability of some examples of Gauss model with one prey and two predators is discussed.

Suggested Citation

  • A. Farajzadeh & M. H. Rahmani Doust & F. Haghighifar & D. Baleanu, 2012. "[Retracted] The Stability of Gauss Model Having One‐Prey and Two‐Predators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:219640
    DOI: 10.1155/2012/219640
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    References listed on IDEAS

    as
    1. Gakkhar, Sunita & Singh, Brahampal, 2007. "The dynamics of a food web consisting of two preys and a harvesting predator," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1346-1356.
    2. Song, Xinyu & Li, Yongfeng, 2007. "Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 463-478.
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