Existence of two periodic solutions of a ratio-dependent Holling-Taner model with infinite delay and prey harvest 被引量：5

Existence of two periodic solutions of a ratio-dependent Holling-Taner model with infinite delay and prey harvest

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摘要 This paper considers a class of ratio-dependent Holling-Taner model with infinite delay and prey harvest, which is of periodic coefficients. By means of the coincidence degree theory, a set of sufficient conditions for the existence of at least two positive periodic solutions of this model is established. This paper considers a class of ratio-dependent Holling-Taner model with infinite delay and prey harvest, which is of periodic coefficients. By means of the coincidence degree theory, a set of sufficient conditions for the existence of at least two positive periodic solutions of this model is established.

作者 TIAN De-sheng

机构地区 College of Sciences

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第2期136-142,共7页 高校应用数学学报（英文版）（B辑）

关键词 Holling-Taner model RATIO-DEPENDENT HARVEST periodic solution coincidence degree. Holling-Taner model, ratio-dependent, harvest, periodic solution, coincidence degree.

分类号 O141.4 [理学—基础数学]

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参考文献3

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二级参考文献15

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共引文献48

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同被引文献17

1黄玉梅,李树勇,潘杰.一类含分布时滞的扩散周期竞争模型的渐近性质[J].四川师范大学学报（自然科学版）,2004,27(4):343-346. 被引量：10
2田宝丹,汪海玲.具有Holling Ⅳ类功能性反应的非自治扩散系统的持久生存[J].四川师范大学学报（自然科学版）,2004,27(6):610-613. 被引量：8
3梁志清.一类基于比例确定的离散Leslie系统正周期解的存在性[J].生物数学学报,2004,19(4):421-427. 被引量：9
4梁志清,陈兰荪.一类基于比例确定的Leslie系统正周期解的存在性[J].应用数学,2005,18(2):313-318. 被引量：10
5高建国.基于比率的Holling-Tanner系统全局渐近稳定性[J].生物数学学报,2005,20(2):165-168. 被引量：25
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7田德生,曾宪武.一类被开发的具有功能性反应的捕食模型周期解的存在性(英文)[J].数学杂志,2005,25(5):480-484. 被引量：12
8潘红卫.Ⅲ类攻能性反应Holling-Tanner干扰系统的正周期解的存在性[J].数学理论与应用,2006,26(2):27-31. 被引量：2
9Ding Xiaoquan Cheng Shuhan.POSITIVE PERIODIC SOLUTION FOR A NONAUTONOMOUS LOGISTIC MODEL WITH LINEAR FEEDBACK REGULATION[J].Applied Mathematics(A Journal of Chinese Universities),2006,21(3):302-312. 被引量：1
10田宝丹.一类具有反馈控制和Holling Ⅳ类功能反应的非自治捕食系统的渐近性质[J].四川师范大学学报（自然科学版）,2006,29(6):672-675. 被引量：6

引证文献5

1李子强,方瑛,田德生.比率依赖时滞Holling-Taner模型周期解的存在性[J].湖北大学学报（自然科学版）,2012,34(1):4-8.
2姚晓洁,秦发金,罗芳琼.一类具有单调功能反应和收获率的离散Leslie模型的多个正周期解[J].天津师范大学学报（自然科学版）,2010,30(1):11-15.
3LIU Xiu-xiang School of Mathematical Sciences, South China Normal University, Guangdong 510631, China.A note on periodic solutions for semi-ratio-dependent predator-prey systems[J].Applied Mathematics(A Journal of Chinese Universities),2010,25(1):1-8. 被引量：1
4TIAN De-sheng CAI Guang-xing YANG Ce-ping.Existence of Two Periodic Solutions of a Delayed Single Species Model with Feedback Regulation and Harvest Term[J].Chinese Quarterly Journal of Mathematics,2010,25(3):407-413. 被引量：1
5苑学梅,胡宝安,陈博文,马茜.一类具有广义Logistic增长的比率型捕食模型的定性分析[J].生物数学学报,2011,26(2):298-302. 被引量：1

二级引证文献3

1周伦,郑恩伟.具有脉冲和功能反应函数的捕食-食饵系统正周期解的存在性[J].许昌学院学报,2011,30(2):1-5.
2胡宝安,李兵,邹晓健.一类比率依赖模型的全局稳定性[J].军事交通学院学报,2014,16(1):92-95.
3伍代勇.Bifurcation Analysis of a Discrete Logistic System with Feedback Control[J].Chinese Quarterly Journal of Mathematics,2015,30(1):66-78.

1Tian Desheng,Wang Mei,Zeng Xianwu.EXISTENCE OF TWO PERIODIC SOLUTIONS TO A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH PREDATOR'S HARVEST[J].Annals of Differential Equations,2007,23(4):492-498.
2李子强,方瑛,田德生.比率依赖时滞Holling-Taner模型周期解的存在性[J].湖北大学学报（自然科学版）,2012,34(1):4-8.
3王烈,陈斯养,石茂.带有脉冲、时滞和广义扩散函数的捕食者—食饵系统正周期解的存在性[J].兰州大学学报（自然科学版）,2010,46(1):96-104. 被引量：2
4TIAN Desheng,ZHANG Zhengqiu.Existence of Four Periodic Solutions of a Ratio-Dependent Predator-Prey Model with Exploited Terms[J].Wuhan University Journal of Natural Sciences,2008,13(1):1-5. 被引量：1
5李鹏.关于一致度测量方法的探讨[J].统计与决策,1998,14(5):43-44.
6Yong-li Song,Mao-an Han.Periodic Solutions of a Discrete Time Predator-Prey System[J].Acta Mathematicae Applicatae Sinica,2006,22(3):397-404.
7Xiao Bing,Liu Bingwen,Huang Lihong.PERIODIC SOLUTIONS FOR A LINARD-TYPE EQUATION WITH DELAYS[J].Annals of Differential Equations,2005,21(3):460-464. 被引量：1
8Wang Haiqing,Suo Xiaohui.PERIODIC SOLUTIONS FOR HIGHER ORDER DELAY FUNCTIONAL DIFFERENTIAL EQUATION OF NEUTRAL TYPE WITH LINEAR RESTORING TERMS[J].Annals of Differential Equations,2006,22(1):62-68. 被引量：3
9Xiao Hong LI,Chun LU,Xiu Feng DU.Permanence and Global Attractivity of a Discrete Semi-Ratio-Dependent Predator-Prey System with Holling Ⅳ Type Functional Response[J].Journal of Mathematical Research and Exposition,2010,30(3):442-450. 被引量：3
10LIJUAN ZHA,JING-AN CUI,XUEYONG ZHOU.RATIO-DEPENDENT PREDATOR-PREY MODEL WITH STAGE STRUCTURE AND TIME DELAY[J].International Journal of Biomathematics,2012,5(4):15-37. 被引量：2

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