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The Stability of Gauss Model Having Two-Preys and One-Predator

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Some ecologists and mathematicians are interesting to nd out the condi- tions to use of living resources continuously at the same time. In the present paper, some Gauss predator-prey models with tree species ecologically interacting have been considered and the behavior of their solutions in the stability aspect have been investigated. The math- ematical analysis for the above models as global and local stability is main aim in this work. Finally, the stability of some examples of Gauss models having two preys and one predator are discussed.

Abstract

Some ecologists and mathematicians are interesting to nd out the condi- tions to use of living resources continuously at the same time. In the present paper, some Gauss predator-prey models with tree species ecologically interacting have been considered and the behavior of their solutions in the stability aspect have been investigated. The math- ematical analysis for the above models as global and local stability is main aim in this work. Finally, the stability of some examples of Gauss models having two preys and one predator are discussed.

참고문헌 (8)

  1. Farajzadeh A, "The Stability of Guass Model Having One-prey and Two predators", Abstract and Applied Analysis, 2012
  2. Gakkhar S., "The Dynamics of a Food Web Consisting of Two Preys and a Harvesting Predator", Journal on Chaos Solitons and Fractals (2007)
  3. Hasik K., "On a Predator-Prey System of Gauss Type", Mathematical Biology, 60 (2010)
  4. Kar T. K., "Harvesting in Two Predator One Preyb Fisheri: a Bioconomic Model", ANZIAM, 45 (2004)
  5. Kumar S., "Hopf Bifurcation and Stability Analysis in a Har-vested One-Predator Two-Prey Model", Journal of Applied Mathematics and Computation, 129 (2002)
  6. Rahmani Doust M. H., "The Lotka-Volterra Competition Models", Proc. Jangjeon Math. Soc, (3) (2012)
  7. Saraj M., "The Stability of Gauss Model Having Har-vested Factor", Selcuk Journal Applied Mathematics, 13(2) (2012)
  8. Song X., "Dynamic Complexities of a Holing II Two-Prey One-Predator System with Impulsive Effect", Journal on Chaos Solutions and Fractals, 33 (2007)

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