Permanence in nonautonomous competitive systems with nonlocal dispersal

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• 作者：Joanna Balbus¹ ; ^{joanna.balbus@pwr.edu.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Nonlocal dispersal ; Subsolution ; Supersolution ; Upper average ; Lower average ; Permanence
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：447
• 期：1
• 页码：564-578
• 全文大小：333 K

文摘

In this paper we consider a system with nonlocal dispersal. Applying Ahmad and Lazers definitions of lower and upper averages of a function and using the sub- and supersolution methods for PDEs we give sufficient conditions for permanence in such models. Moreover, we allow the intrinsic growth rates to be negative.