连续离散时间模型的传播速度和行波解  

Spreading speed and traveling wave solution of a continuous-discrete time model

作　　者：王明龙 李状 WANG Minglong;LI Zhuang(School of Mathematics and Statistic,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《重庆理工大学学报（自然科学）》2022年第3期268-273,共6页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金面上项目(11871060)。

摘　　要：考虑物种相对独立的扩散和成长季节,建立具有阶段结构的脉冲反应-扩散模型来研究种群的传播速度和行波解。讨论模型正常数平衡解的存在性,给出存在性条件。在正常数平衡解存在的前提下,研究了种群的传播速度。通过上下解构造,证明了行波解的存在性。Many species have relatively independent diffusion and growth seasons, so can establish impulsive reaction-diffusion population model with stage structure to study the population spreading speed and traveling wave.In this paper, the existence of the positive constant equilibrium solution of the model is discussed, and the existence conditions is given. Under the premise of the existence of the positive constant equilibrium solution, the spreading speed of the population is studied. The existence of traveling wave solutions is proved by constructing the upper and lower solutions.

关 键 词：脉冲反应-扩散方程 正常数平衡解 传播速度 行波解 

分 类 号：O175.14[理学—数学]