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对褐点石斑鱼模型波串解问题的研究
吴亚运
作者单位
吴亚运 合肥师范学院数学与统计学院, 安徽 合肥 230601 
摘要:
本文研究了具有空间扩散项的年龄结构模型的周期波串解存在性问题.利用积分半群、Hopf分支理论及二阶半线性抽象微分方程扰动方法,获得了褐点石斑鱼模型周期波串解存在性的结果,推广了年龄结构模型的分支问题及周期波串解问题的结果.
关键词:  年龄结构|扩散方程|非稠定柯西问题|Hopf分支|周期波串解
DOI:
分类号:O193
基金项目:高层次人才项目基金资助(2022rcjj24).
RESEARCH ON THE WAVE TRAIN SOLUTIONS OF EPINEPHELUS-FUSCOGUTTATUS MODEL
WU Ya-yun
Abstract:
In this paper, the existence of periodic wave train solutions of an age-structured model with diffusion is studied. By using the theory of integrated semigroup, Hopf bifurcation theorem and second order semi-linear abstract differential equation perturbation method, the results of the existence of the periodic wave train solutions of the Epinephelus fuscoguttatus model are obtained. The results of the Hopf bifurcation problem and the periodic wave train solutions of the age structure model are generalized.
Key words:  age structure|diffusion equation|non-densely defined Cauchy problem|Hopf bifurcation|periodic wave trains