数学季刊 ›› 2012, Vol. 27 ›› Issue (3): 467-474.

• • 上一篇    

具有非单调出生函数的周期反应扩散模型的渐近传播速度

  

  1. School of Mathematics, South China Normal University

  • 收稿日期:2011-12-21 出版日期:2012-09-30 发布日期:2023-03-24
  • 通讯作者: WENG Pei-xuan(corresponding author)(1951-), female, native of Chaozhou, Guangdong, a professor of South China Normal University, Ph.D.,engages in the theory of differential equations and applications.
  • 作者简介:HUANG Ye-hui(1985-), male, native of Guangzhou, Guangdong, a doctoral candidate of South China Normal University, engages in differential equations and biomathematics; WENG Pei-xuan(corresponding author)(1951-), female, native of Chaozhou, Guangdong, a professor of South China Normal University, Ph.D.,engages in the theory of differential equations and applications.
  • 基金资助:
    Supported by the NSF of China(11171120)； Supported by the Doctoral Program of Higher Education of China(20094407110001)； Supported by the NSF of Guangdong Province(10151063101000003)

Spreading Speed for a Periodic Reaction-diffusion Model with Nonmonotone Birth Function 

  1. School of Mathematics, South China Normal University

  • Received:2011-12-21 Online:2012-09-30 Published:2023-03-24
  • Contact: WENG Pei-xuan(corresponding author)(1951-), female, native of Chaozhou, Guangdong, a professor of South China Normal University, Ph.D.,engages in the theory of differential equations and applications.
  • About author:UANG Ye-hui(1985-), male, native of Guangzhou, Guangdong, a doctoral candidate of South China Normal University, engages in differential equations and biomathematics; WENG Pei-xuan(corresponding author)(1951-), female, native of Chaozhou, Guangdong, a professor of South China Normal University, Ph.D.,engages in the theory of differential equations and applications.

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摘要： A reaction-diffusion model for a single species with age structure and nonlocal reaction for periodic time t is derived. Some results about the model with monotone birth function are firstly introduced, and then by constructing two auxiliary equations and squeezing method, the spreading speed for the system with nonmonotone birth function is obtained.

关键词: spreading speed, nonmonotone birth function, period time, age structure nonlocal reaction

Abstract: A reaction-diffusion model for a single species with age structure and nonlocal reaction for periodic time t is derived. Some results about the model with monotone birth function are firstly introduced, and then by constructing two auxiliary equations and squeezing method, the spreading speed for the system with nonmonotone birth function is obtained.

Key words: spreading speed, nonmonotone birth function, period time, age structure; nonlocal reaction

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