理學院: 數學研究所指導教授: 夏俊雄賴承志Lai, Chen-ChihChen-ChihLai2017-03-062018-06-282017-03-062018-06-282016http://ntur.lib.ntu.edu.tw//handle/246246/276803N型屏障最大值原理為一種估計一維擴散型競爭洛特卡-佛爾特拉方程組的行進波解之技術。這篇文章中,我們將[4]中考慮的雙物種之情況推廣到任意多物種。此外,我們將不再需要,為了得到更精細的估計,而在[4]中所考慮的切線法之限制條件。The N-barrier maximum principle (NBMP) is a technique to estimate the total density of traveling wave solutions to one-dimensional diffusive competitive Lotka-Volterra systems. In this study, two-species cases, which are considered in [4], are generalized to multi-species cases. In addition, the constraints of the tangent line method proposed in [4] to obtain a refined estimate is released.613687 bytesapplication/pdf論文公開時間: 2016/7/26論文使用權限: 同意無償授權行進波解洛特卡-佛爾特拉最大值原理traveling wave solutionsLotka-Volterramaximum principle論擴散-競爭型洛特卡-佛爾特拉方程組的行進波解之N型屏障最大值原理On the N-barrier maximum principle for traveling wave solutions of diffusive competitive Lotka-Volterra systemsthesis10.6342/NTU201601053http://ntur.lib.ntu.edu.tw/bitstream/246246/276803/1/ntu-105-R03221004-1.pdf