数学理论与应用 ›› 2018, Vol. 38 ›› Issue (3-4): 33-42.
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刘慧 ，胡海军
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摘要： 为刻画全球气候变化对物种传播产生的影响,本文考虑一类带有依赖气候变化的内禀增长率的 Lotka-Volterra合作系统.我们通过构造适当的上下解,结合单调迭代的方法,证明当两个物种为弱合作关系时,该反应扩散系统存在单调行波解.
关键词: Lotka-Volterra, 合作系统, 上下解, 单调迭代
Abstract: Focusing on the effect of global climate change on species persistence,we consider a cooperative Lotka-Volterra system with intrinsic growth rate,which depends on climate change.By constructing the appropriate upper and lower solutions,and combining the method of monotone iteration,we prove that when two species are weakly cooperative,there exist a pair of monotone traveling wave solutions in the reaction-diffusion system.
Key words: Cooperative, Lotka-Volterra system, Upper and lower solutions, Monotone iteration
刘慧, 胡海军. 一类Lotka-Volterra合作系统行波解的存在性[J]. 数学理论与应用, 2018, 38(3-4): 33-42.
Liu Hui , Hu Haijun. Existence of Traveling Wave Solutions for a Class of Cooperative Lotka-Volterra System[J]. Mathematical Theory and Applications, 2018, 38(3-4): 33-42.
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http://mta.csu.edu.cn/CN/Y2018/V38/I3-4/33
