Prey-Predator System; Having Stable Periodic Orbit

Authors

1 Department of Mathematics, University of Neyshabur, Neyshabur, Iran.

2 Department of Mathematics, University of Ilam, Ilam, Iran.

Abstract

The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.

Keywords

References

1. H.I. Freedman, Deterministic Mathematical Models in Population Ecology, 2nd ed., HIFR Consulting LTD, Edmonton, Canada (1987).
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Neyshabur, (2013), 230-246.
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7. M.H. Rahmani Doust, S. Gholizade, The Lotka-Volterra Predator-Prey Equations, Caspian Journal of Mathematical sciences, vol.3, No.1, (2014), 227-231.

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History

  • Receive Date: 05 March 2015
  • Revise Date: 27 August 2016
  • Accept Date: 17 August 2015

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