| 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.[LI Jiang,WANG Hongyong.Squeezing Theorem of the Lattice Lotka-Volterra Competition System in a Shifting Environment[J].Journal of University of South China(Science and Technology),2020,34(5):93~96.] |
| 带环境迁移项的格上Lotka-Volterra竞争系统的Squeezing定理 |
| Squeezing Theorem of the Lattice Lotka-Volterra Competition System in a Shifting Environment |
| 投稿时间：2020-06-16 |
| DOI： |
| 中文关键词: Lotka-Volterra系统 强制波 Squeezing定理 格 环境迁移 稳定性〖PS李江二维码.tif Y4*4,Y#〗 |
| 英文关键词:Lotka-Volterra system forced wave squeezing theorem lattice shifting environment stability |
| 基金项目: |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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