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.
【英文摘要】
A reaction-diffusion model for a single species with age structure and nonlo- cal 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.
【基金】
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)
【更新日期】
2012-11-12
【分类号】
O175.29
【正文快照】
§1. Introduction Let a single species population involving age structure be distributed on a spatial location x with time t and w(t, x) express the total mature population at time t and location x, τ be the length of maturation period, then So, Wu and Z