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

Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (3): 467-474.

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.

Abstract

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

CLC Number:

O175.29

HUANG Ye-hui, WENG Pei-xuan. Spreading Speed for a Periodic Reaction-diﬀusion Model with Nonmonotone Birth Function [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(3): 467-474.

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

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