| 带环境迁移项的格上Lotka-Volterra竞争系统的Squeezing定理 |
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| 引用本文： | 李江,王红勇.带环境迁移项的格上Lotka-Volterra竞争系统的Squeezing定理[J].南华大学学报(自然科学版),2020,34(5):93-96. |
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| 作者姓名： | 李江 王红勇 |
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| 作者单位： | 南华大学 人力资源处,湖南 衡阳421001;南华大学 数理学院,湖南 衡阳421001 |
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| 摘 要： | 运用最值原理,研究了带环境迁移项的格上Lotka-Volterra竞争系统强制波的严格单调性。据此,利用上下解方法及比较原理,证明了Squeezing定理。从而能够给出相应柯西问题解的一个估计,并为全局稳定性的分析提供工具。
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| 关 键 词： | Lotka-Volterra系统 强制波 Squeezing定理 格 环境迁移 稳定性 |
| 收稿时间： | 2020/6/16 0:00:00 |
Squeezing Theorem of the Lattice Lotka-Volterra Competition System in a Shifting Environment |
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| LI Jiang,WANG Hongyong.Squeezing Theorem of the Lattice Lotka-Volterra Competition System in a Shifting Environment[J].Journal of Nanhua University:Science and Technology,2020,34(5):93-96. |
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| Authors: | LI Jiang WANG Hongyong |
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| Institution: | Human Resources Department,University of South China,Hengyang,Hunan 421001,China; School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | The strict monotonicity of the forced waves of a lattice Lotka-Volterra competition system in a shifting environment is investigated by applying the maximum principle.Based on this result,the squeezing theorem is proved by making use of upper-lower solution method and comparison principle.As a result,an estimation can be obtained for the solutions of the corresponding Cauchy problem to provide some insights to the global stability. |
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| Keywords: | Lotka-Volterra system forced wave squeezing theorem lattice shifting environment stability |
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