Please use this identifier to cite or link to this item: `http://hdl.handle.net/11455/97314`
 標題: 三個物種的離散型動態系統的旅行波解之單調性The monotonicity of traveling wave solutions for a three-component lattice dynamical system 作者: 樂直韋Zhi-Wei Yue 關鍵字: 單調性;旅行波解;滑行法;強比較原則;monotonicity;traveling wave;sliding method;Strong comparison principle 引用: [1] J.-S. Guo, C.-H. Wu, Wave propagation for a two-component lattice dynamical system arising in strong competition models, J. Differential Equations 250 (2011) 3504-3533 [2] J.-S. Guo, C.-C. Wu, The existence of traveling wave solutions for a bistable three-component lattice dynamical system, J. Differential Equations 260 (2016) 1445-1455 [3] X. Chen, S.-C. Fu, J.-S. Guo, Uniqueness and asymptotics of traveling waves of monostable dynamics on lattices, SIAM J. Math. Anal. 38 (2006) 233-258 [4] J.-S. Guo, C.-H. Wu, Traveling wave front for a two-component lattice dynamical system arising in competition models, J. Differential Equations 252 (2012) 4357-4391 [5] X. Chen, J.-S. Guo, Uniqueness and existence of traveling waves for discrete quasilinear monos- table dynamics, Math. Ann. 326 (2003) 123-146 摘要: 這篇論文是在講如何證明三個物種的離散型動態系統的旅行波解之單調性。我們用滑行法來證明旅行波解有單調性。首先，我們先證明旅行波解在左右兩端具有單調性。之後藉由強比較原則，可以幫助我們證明整個旅行波解都有單調性。旅行波解的單調性可以幫助我們知道，哪一個物種會滅絕，而哪一個物種最終又會存活。We study the monotonicity of the traveling wave solutions for a three-component lattice dynamical system.We use the sliding method to prove the monotonicity.We would prove the solutions are monotone on the tail, and then use the strong comparison principle to help us extend the monotonicity to all of the solution.The monotonicity of the traveling wave solutions will help us to know that which species will extinct and which will survive eventually. URI: http://hdl.handle.net/11455/97314 Rights: 同意授權瀏覽/列印電子全文服務，2018-02-07起公開。 Appears in Collections: 應用數學系所