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时滞Schoner竞争模型周期解的存在性 被引量：2

Existence of periodic solutions of Schoner competitive model with time-lag
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摘要 利用重合度理论的延拓引理讨论了一类具有时滞的Schoner竞争模型周期解的存在性,得到了保证系统周期解存在的易于验证的充分条件,同时所得结果可用于具有时间依赖时滞的Schoner竞争模型. The existence of periodic solutions of a category of Schoner competitive model with timelag is discussed by using the lemma in the theory of coincidence degree, so that a sufficient condition of the existence of periodic solutions for the system is obtained with a ready proof. Meantime, the result obtained can be used for the Schoner competitive model with timedependent timelag.
作者 霍海峰 向红 王柏岩 孙建平
机构地区 甘肃工业大学理学院
出处 《甘肃工业大学学报》 北大核心 2003年第2期117-120,共4页 Journal of Gansu University of Technology
基金 国家自然科学基金(10171040) 甘肃省自然科学基金(ZS011 A25 007 Z) 教育部骨干教师基金 教育部高等学校教学科研奖励计划资助
关键词 时滞Schoner竞争模型 周期解 存在性 生态数学模型 重合度 competitive model positive periodic solution coincidence degree
分类号 Q141 [生物学—生态学] O175.1 [理学—基础数学]
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参考文献7

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二级参考文献4

共引文献3

同被引文献16

  • 1KUANG Y. Delay differential equations with application in population dynamics [M]. New York: Academic Press, 1993.
  • 2GOPALSAMPY K,KULENOVIC M R S, LADAS G. Environmental periodicity and time delays in a "food-limited" population model [J]. J Math Anal Appl,1990(147),545-555.
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  • 10GAINES R E, MAWHIN J L. Coincidence degree and nonlinear differential equations[M]. Berlin: Springer, 1977.

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甘肃工业大学学报
2003年 第2期

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