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离散型时滞Lotka-Volterra食饵-捕食者系统的8个正周期解 被引量：3

Eight Positive Periodic Solutions of a Discrete Lotka-Volterra Predator-Prey System with Discrete Delays
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摘要 采取叠合度的Mawhin连续定理和微分不等式,研究带有收获项的离散型Lotka-Volterra食饵-捕食者系统,并获得该系统存在8个正周期解的充分条件. In this paper,using the Mawhin's continuation theorem of the coincidence degree theory and differential inequality,we investigate a discrete Lotka-Volterra predator-prey system with harvesting terms,and some sufficient conditions on the existence of at least eight positive periodic solutions in the system are obtained.
作者 吕小俊 李睿 Lyu Xiao-jun;LI-Rui(Department of Information,Tourism and Culture College of Yunnan University,Lijiang Yunnan 674199,China)
机构地区 云南大学旅游文化学院信息学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2020年第7期114-123,共10页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金项目(11161025) 云南省教育厅科学研究项目(2017ZDX270,2020J0908) 云南大学旅游文化学院重点项目(2015XYZ03).
关键词 离散型 LOTKA-VOLTERRA 食饵-捕食者系统 8个正周期解 收获项 discrete Lotka-Volterra predator-prey system Eight positive periodic solutions harvesting term
分类号 O175.14 [理学—基础数学]
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  • 4Fang H, Xiao Y F. Existence of multiple periodic solutions for delay Lotka-Volterra competition patch systems with harvesting. Applied Mathematical Modelling, 2009, 33:1086-1096.
  • 5Zhao K H, Li Y K. Four positive periodic solutions to two species parasitical system with harvesting terms. Computers and Mathematics with Applications, 2010, 59:2703-2710.
  • 6Lin W, Chen L. Positive periodic solutions of delayed periodic Lotlu-Volterra systems. Phys. Lett.A, 2005, 334:273 287.
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  • 8Li Y K. Positive periodic solutions of periodic neutral Lotka-Volterra systems with state dependent delays. J. Math. Anal., 2007, 330:134-1362.
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  • 10Gaines R. Mawhin, Coincidence Degree and Nonlinear Differetial Equiations. Berlin: Springer-Verlag, 1977.

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西南大学学报（自然科学版）
2020年 第7期

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