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具有非线性死亡密度和连续分布时滞的Nicholson飞蝇模型的周期解

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具有非线性死亡密度和连续分布时滞的Nicholson飞蝇模型的周期解 刘炳文1, 田雪梅2, 杨孪山2, 黄创霞21. 湖南文理学院数学与计算科学学院, 常德 415000;
2. 长沙理工大学数学与统计学院, 长沙 410114 Periodic Solutions for a Nicholson'S Blowflies Model with Nonlinear Mortality and Continuously Distributed Delays LIU Bingwen1, TIAN Xuemei2, YANG Luanshan2, HUANG Chuangxia21. College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde 415000, China;
2. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha 410114, China
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摘要本文研究了一类定义在非负函数空间上具有非线性死亡密度和连续分布时滞的Nicholson飞蝇模型,获得了判定该模型正周期解存在唯一和指数稳定的充分性判据,并结合实际例子的数值模拟展示了所获得理论结果的有效性.
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收稿日期: 2013-07-08
PACS:O175.12
基金资助:湖南省自然科学基金(2016JJ1001,2016JJ6103,2016JJ6104),湖南省教育厅资助项目(17C1076)以及浙江省自然科学基金(LY18A010019)资助项目.
引用本文:
刘炳文, 田雪梅, 杨孪山, 黄创霞. 具有非线性死亡密度和连续分布时滞的Nicholson飞蝇模型的周期解[J]. 应用数学学报, 2018, 41(1): 98-109. LIU Bingwen, TIAN Xuemei, YANG Luanshan, HUANG Chuangxia. Periodic Solutions for a Nicholson'S Blowflies Model with Nonlinear Mortality and Continuously Distributed Delays. Acta Mathematicae Applicatae Sinica, 2018, 41(1): 98-109.
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http://123.57.41.99/jweb_yysxxb/CN/ http://123.57.41.99/jweb_yysxxb/CN/Y2018/V41/I1/98


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