https://scholars.lib.ntu.edu.tw/handle/123456789/606423
標題: | Existence of Front–Back-Pulse Solutions of a Three-Species Lotka–Volterra Competition–Diffusion System | 作者: | Chang C.-H CHIUN-CHUAN CHEN |
關鍵字: | Bifurcation points;Competition–diffusion system;Heteroclinic bifurcation;Traveling waves | 公開日期: | 2021 | 來源出版物: | Journal of Dynamics and Differential Equations | 摘要: | The existence of nonmonotone traveling wave solutions of the three-species Lotka–Volterra competition diffusion system under strong competition is established. A traveling wave solution can be considered as a heteroclinic orbit of a vector field in R6. Under suitable assumptions on parameters of the equations, we apply a bifurcation theory of heteroclinic orbits to show that a three-species traveling wave can bifurcate from two two-species waves which connect to a common equilibrium. The three components of the three-species wave obtained are positive and have the profiles that one is a front, one is a back, and the third component is a pulse between the previous two with a long middle part close to a constant. As applications of our result, we find several explicit regions of parameters of the equations where the bifurcation of three-species traveling waves occur. ? 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85117185611&doi=10.1007%2fs10884-021-10090-6&partnerID=40&md5=480a695f2635dbef72d7c462c00dc0bd https://scholars.lib.ntu.edu.tw/handle/123456789/606423 |
ISSN: | 10407294 | DOI: | 10.1007/s10884-021-10090-6 |
顯示於: | 數學系 |
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