一类变异模型的时间周期行波解  

Time Periodic Traveling Wave Solutions for a Class of Variation Model

作　　者：邹顺 ZOU Shun(School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China)

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《河南财政金融学院学报(自然科学版)》2025年第1期23-34,共12页Journal of Henan Finance University(Natural Science Edition)

摘　　要：首先通过下一代算子理论,推算出常微分动力学模型的基本再生数,然后构造合适的上下界并结合Schauder不动点定理建立当c>c^(*)和R_(0)>1时,时间周期反应扩散模型的时间周期行波解的存在性。对于d_(0)=d_(1)=d_(2),运用比较原理和哈纳克不等式,建立当c=c^(*)和R_(0)>1时临界周期行波解的存在性。Firstly,calculating the basic reproduction number of the ordinary differential kinetic model by the next generation operator theory.Then,establishing the existence of time periodic traveling wave solutions for time periodic reaction-diffuison model with c>c^(*)and R_(0)>1 by constructing appropriate sub and super solutions and combining Schauder fixed-point theorem.For d_(0)=d_(1)=d_(2),the existence of critical periodic traveling wave solutions is established by using the comparison principle and Harnack inequality with c=c^(*)and R_(0)>1.

关 键 词：变异模型 周期行波解 临界周期行波解 基本再生数 SCHAUDER不动点定理 

分 类 号：O29[理学—应用数学]