대한수학회지 (Journal of the Korean Mathematical Society)

  • 제43권4호
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  • Pages.829-843
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  • 2006
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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LIMIT CYCLES IN A CUBIC PREDATOR-PREY DIFFERENTIAL SYSTEM

  • 발행 : 2006.07.01
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초록

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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참고문헌

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피인용 문헌

  1. Limit cycles for two families of cubic systems vol.75, pp.18, 2012, https://doi.org/10.1016/j.na.2012.07.012
  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