Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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LIMIT CYCLES IN A CUBIC PREDATOR-PREY DIFFERENTIAL SYSTEM

  • Published : 2006.07.01
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Abstract

We propose a cubic differential system, which can be considered a generalization of the predator-prey models, studied by many authors recently (see [18, 20], for instance) The properties of the equilibrium points, the existences, nonexistence, the uniqueness conditions and the relative positions of the limit cycles are investigated. An example is used to show our theorems are easy to be used in applications.

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References

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  2. Stability and bifurcation in two species predator–prey models vol.12, pp.1, 2011, https://doi.org/10.1016/j.nonrwa.2010.06.023
  3. Multi-dynamics of travelling bands and pattern formation in a predator-prey model with cubic growth vol.2016, pp.1, 2016, https://doi.org/10.1186/s13662-016-0994-0