| 一类具有反应扩散的两种群竞争的双稳定性 |
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| 引用本文： | 陈梅香,谢溪庄.一类具有反应扩散的两种群竞争的双稳定性[J].华侨大学学报(自然科学版),2020,41(2):268-271. |
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| 作者姓名： | 陈梅香 谢溪庄 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 摘 要： | 研究一类带有反应扩散项的两种群Gilpin-Ayala竞争系统.利用单调半流双稳定性理论,得到该竞争系统存在双稳定性的全局动力学行为.即在一定条件下,系统存在一条无序的、不变的一阶光滑分界线,使得当初值在分界线上方,种群2赢得竞争;而当初值在分界线下方,则种群1赢得竞争.
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| 关 键 词： | Gilpin-Ayala竞争模型 反应扩散 双稳定 平衡解 解半流 |
Bi-Stability of Two-Species Competition Model With Reaction Diffusion |
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| CHEN Meixiang,XIE Xizhuang.Bi-Stability of Two-Species Competition Model With Reaction Diffusion[J].Journal of Huaqiao University(Natural Science),2020,41(2):268-271. |
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| Authors: | CHEN Meixiang XIE Xizhuang |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | We study the bi-stability of a Gilpin-Ayala competition model with reaction diffusion. By virtue of the theory of saddle-point for monotone semiflows, we prove that the system admits a K-unordered, invariant C1 separatrix in which species 2 wins whenever the initial value is above the separatrix, while species 1 wins whenever the initial value is below the separatrix. |
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| Keywords: | Gilpin-Ayala competition model reaction diffusion bi-stability steady-state solution semiflow |
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