Spreading speeds and periodic traveling waves of a partially sedentary integro-difference model

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摘要

This paper is devoted to the study of spatial dynamics of a class of partially sedentary integro-difference population models in a periodic habitat. For the general case of recruitment functions, we establish the existence and computation formula of spreading speeds. It is shown that the spreading speed is linearly determinate and coincides with the minimal wave speed of periodic traveling waves. Some effects of dispersal kernels, spatially variations and dispersal probabilities on spreading speeds are also investigated.

论文关键词:Integro–difference equations,Spreading speeds,Periodic traveling waves

论文评审过程:Received 2 April 2015, Revised 30 September 2015, Accepted 1 November 2015, Available online 5 December 2015, Version of Record 5 December 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.11.005