分年龄段的互惠模型的行波解  

Traveling waves solution to reciprocal model with age sections structure

作　　者：汤燕斌[1] 吴庆华[1] 

机构地区：[1]华中科技大学数学系,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2006年第10期119-121,共3页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：教育部留学回国人员基金资助项目

摘　　要：讨论了一类分年龄段的生物种群互惠模型的行波解存在性问题.在一般带时滞的互惠Lotka-Volterra模型基础上,考虑了年龄段和空间非局部等因素对反应扩散方程行波解存在性的影响.构造了一对合适的上下解,利用单调迭代方法证明了模型的两个平衡点之间行波解的存在性,进一步丰富了单调方法的内容.The existence of traveling wave solutions to reciprocal model with age sections structure was discussed. On the basis of general cooperative Lotka-Volterra system with delay, we involved stage structure and no-local space, and studied these factors＇ affection on the solutions. First, we constructed a pair of appropriate upper and lower solutions, and then we proved the existence of the traveling wave solutions between two equilibria of the system by using the monotone iteration approach. And this enriched the content of the monotone iteration approach.

关 键 词：反应扩散方程 行波解 时滞 单调迭代 

分 类 号：O175.29[理学—数学]