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

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• 作者：Jie Wang^a ; Cui-Ping Cheng ; ^b ; ^{chengcp0611@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Integro&ndash ; difference equations ; Spreading speeds ; Periodic traveling waves
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：274
• 期：Complete
• 页码：459-479
• 全文大小：447 K

文摘

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.