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具有离散时滞的两种群模型的稳定性

Stability of Two-species Model with Two-discrete Delays
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摘要 讨论了具有离散时滞的两种群模型的稳定性,利用Rouche′s定理,得到了分支周期解存在及其稳定的充分条件。利用代数理论,得出了系统正平衡点条件稳定的充分条件,并把时滞作为分支参数,给出了分支点出现的条件,分析了分支周期解的稳定性。 A differential equation with two discrete delays is discussed. Sufficient conditions for stability of positive equilibrium are obtained by using algebra theory and delay is regard as parameter to get the sufficient conditions when bifurcated periodic solution apears. At the same time, its stability is also analysised.
作者 武秀丽
出处 《科学技术与工程》 2005年第24期1941-1942,1945,共3页 Science Technology and Engineering
关键词 离散时滞 稳定性 代数理论 discrete delays stability algebra theory
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参考文献4

  • 1[1]Chen L S.Mathematical models and methods in ecology,Beijing;1988 (Chinese)
  • 2[2]Kang Y.Delay differential equations with appliations in population dynamics.Academic Press,1993
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  • 4[4]Gopalsamy K.Stability and oscillations in linear delay differential equations of population dynamics.Dordrecht:Kluwer Academic,1992

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