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- 2015

一类具有扩散的竞争模型正解的多解性和惟一性 The Multiplicity and Uniqueness of Positive Solutions for a Competition Model with Diffusion

王利娟,姜洪领

Keywords: 竞争模型,多解性,惟一性,数值模拟

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Abstract:

讨论了一类带有Beddington-DeAngelis型功能反应函数的竞争模型正解的多解性和惟一性.利用Leray-Shauder度理论、线性算子扰动理论以及标准的椭圆形方程正则性理论得到如下结果:当物种内部竞争系数充分大,且竞争物种的生长率满足一定条件时,该系统或者至少有两个正解或者有惟一正解且该正解渐近稳定.最后通过数值模拟对得到的理论结果进行了验证

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