Positive periodic solutions of delayed Nicholson鈥檚 blowflies models with a nonlinear density-dependent mortality term

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• 作者：Wentao Wang ; ^{wentaowang2009@yahoo.com.cn}
• 关键词：Nicholson&rsquo ; s blowflies ; Positive periodic solutions ; Coincidence degree ; Nonlinear density-dependent mortality term
• 刊名：Applied Mathematical Modelling
• 出版年：2012
• 期刊代码：6_0307904x
• 类别：cp
• 出版时间：October, 2012
• 卷：36
• 期：10
• 页码：4708-4713
• 文件大小：227 K

摘要

This paper is concerned with the periodic solutions for a new fishery model with a nonlinear density-dependent mortality term, which is a generalization of the classical Nicholson鈥檚 blowflies model. By using coincidence degree theory, some criteria are obtained to guarantee that the existence of positive periodic solutions of the model. Moreover, an example and its numerical simulation are given to illustrate our main results.