Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Mathematics in Practice and Theory》 2007-24
Add to Favorite Get Latest Update

Multiple Periodic Solution of a Delayed Predator-prey Model with Holling IV Functional Response and Diffusion

TIAN De-sheng(College of Sciences,Hubei University of Technology,Wuhan 430068,China)  
A delayed predator-prey model with Holling IV functional response and diffusion is considered.This model is of periodic coefficients,which incorporates the periodicity of the environment.By means of the coincidence degree theory,the authors establish sufficient conditions for the existence of at least two positive periodic solutions of this model.
【Fund】: 湖北工业大学科研基金资助项目(湖工大[2006]5号)
【CateGory Index】: O175;O193
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 2 Hits
1 WEI Fengying,GUO Chunfeng,CHEN Meishuang,XU Tingyu,CHEN Youxian(College of Mathematics and Computer Science,Fuzhou University,Fuzhou 350108,China);Permanence and Globally Asymptotical Stability of Periodic Diffusive Predator-prey Systems with Holling IV Type Functional Response[J];Journal of Fuqing Branch of Fujian Normal University;2009-05
2 WEI Yu-min1,NIE Si-ju2,WU Chun-guang1,XU Shi-ying1(1.College of Science,Minzu University of China,Beijing 100081,China;2.The first secondary vocational technical schools in Fushun City,Fushun 113000,China);Analysis and Numerical Simulation of a Predator-prey Model with Monod-Haldane Function Response and Diffusion[J];Journal of the Central University for Nationalities(Natural Sciences Edition);2009-02
【Citations】
Chinese Journal Full-text Database 2 Hits
1 TIAN De-sheng, ZENG Xian-wu (School of Math. and Statistics, Wuhan University, Wuhan 430072, China);PERIODIC SOLUTION OF A CLASS OF PREDATOR-PREY MODEL EXPLOITED WITH FUNCTIONAL RESPONSE[J];Journal of Mathematics;2005-05
2 Ji-cai Huang Department of Applied Mathematics, College of Science, China Agriculture University; Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China;Bifurcations and Chaos in a Discrete Predator-prey System with Holling Type-IV Functional Response[J];应用数学学报(英文版);2005-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 TIAN De-sheng, ZHU Chang-qing, ZHU Yong-song (College of Sciences, Hubei University of Technology, Wuhan 430068, China);Multiple periodic solutions of a delayed predator-prey system with Holling Ⅳ[J];Pure and Applied Mathematics;2009-02
2 TIAN De-sheng LI Zhi-qiang (School of Sciences,Hubei University of Technology,Wuhan 430068);Persistence and Periodic Solution for a Delayed Nonautonomous Schoner Model with Feedback Control[J];Chinese Journal of Engineering Mathematics;2008-02
3 TIAN De-sheng College of Sciences,Hubei University of Technology,Wuhan 430068,China.;Existence of two periodic solutions of a ratio-dependent Holling-Taner model with infinite delay and prey harvest[J];高校应用数学学报B辑(英文版);2008-02
4 TIAN De-sheng1,YU Feng2(1 College of Sciences,Hubei University of Technology,Wuhan 430068,China;2 Xiang Fan Vocational and Technical College,Xiangfan 441050,China);Existence and Uniqueness of Periodic Solution for a Single-Species Model with Feedback Control[J];Journal of Hubei University of Technology;2007-05
5 TIAN De-sheng(School of Sciences,Hubei University of Technology,Wuhan 430068,China);Existence of a Positive Periodic Solution for a Class of Delayed Differential Equations[J];Mathematics in Practice and Theory;2008-11
6 YAO Xiao-jie,QIN Fa-jin(Department of Mathematics,Liuzhou Teachers College,Liuzhou 545004,China);Multipe Positive Periodic Solution for a Class of Predator-Prey System With Impulsive Effect and Non-monotone Functional Response[J];Mathematics in Practice and Theory;2009-17
7 TANG Xiao-ping1, LI Jing-yun1, GAO Wen-jie2 (1.Department of Mathematics , Liuzhou Teachers College, Liuzhou 545004, China) (2.Institute of Mathematics, Jilin University, Changchun 130012, China);EXISTENCE OF POSITIVE PERIODIC SOLUTION FOR AN IMPULSIVE HOLLING-Ⅱ PREDATOR-PREY SYSTEM WITH TIME DELAY[J];Journal of Mathematics;2009-06
8 Qin Fajin~(1,2) Deng Jin~1 Xu Daoyi~1 1.Mathematical College,Sichuan University,Chengdu 610064; 2.Dept.of Math.& Comput.Sci.,Liuzhou Teachers College,Liuzhou 545004,Guangxi);MULTIPLE PERIODICITY TO A CLASS OF DELAYED STATE-DEPENDENT PREDATOR-PREY SYSTEM[J];微分方程年刊(英文版);2007-04
9 Tian Desheng Wang Mei (College of Sciences,Hubei University of Technology,Wuhan 430068) Zeng Xianwu (College of Math.and Statistics,Wuhan University,Wuhan 430072);EXISTENCE OF TWO PERIODIC SOLUTIONS TO A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH PREDATOR'S HARVEST[J];微分方程年刊(英文版);2007-04
10 TIAN Desheng1, ZHANG Zhengqiu2 1. School of Science, Hubei University of Technology, Wuhan 430068, Hubei, China; 2. Department of Applied Mathematics, Hunan University, Changsha 410082, Hunan, China;Existence of Four Periodic Solutions of a Ratio-Dependent Predator-Prey Model with Exploited Terms[J];武汉大学自然科学学报(英文版);2008-01
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 YANG Jin(Department of Primary Education,Anshan Normal University,Anshan 114005,China);Study for a predator-prey system with Holling Ⅳ functional response and periodic coefficients[J];Journal of Anshan University of Science and Technology;2004-01
2 REN Li-ping(Department of Mathematics,Xuzhou Normal University,Xuzhou 221116,China);Qualitative Analysis of A Reaction-diffusion System[J];Journal of Communication University of China(Science and Technology);2006-04
3 XU Fang,LI Yong-an,YANG Hai-xia(School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China);Qualitative Analysis on Holling Ⅳ Functional Response System under Sparse Effect[J];Journal of Chongqing Institute of Technology(Natural Science Edition);2007-09
4 Wang Luxin1,2 Chen Wenyan1(1Department of Mathematics,Southeast University,Nanjing 211189,China)(2Basic Department,Nantong Shipping College,Nantong 226010,China);Qualitative analysis of a predator-prey model with Holling type Ⅱ functional response[J];Journal of Southeast University(Natural Science Edition);2008-02
5 WANG Yijie (Mathematics Department of Minjiang University,Fuzhou,Fujian 350108,China);Permanence and Periodic Solution of the Food Chain System with Holling Ⅳ Type Functional Response[J];Journal of Fuqing Branch of Fujian Normal University;2008-05
6 SHI Zhi-gao,WU Cheng-qiang (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350002,China);The qualitative analysis of a predator-prey system with constant-rate prey harvesting under type-IV functional response[J];Journal of Fuzhou University(Natural Science Edition);2008-03
7 YE Dan;FAN Meng;ZHANG Wei-peng Department of Mathematics, Northeast Normal University, Changchun 130024 The School of Information Science and Engineering, Northeast University, Shenyang 110004;Existence of Nontrivial Positive Periodic Solution of a Predator-prey System with Holling Type II Functional Response[J];Chinese Journal of Engineering Mathematics;2004-04
8 MENG Xin-zhu, WANG Xue-lei(Dept. of Basic Courses, SUST, Taian 271019);Permanence and Global Stability for NonautonomousPredator-Prey Systems with Peridic Coefficients andType Holling Ⅱ Functional Response[J];;2003-01
9 WU Xing-jie (School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China);Dynamic complexities of a food chain model with Holling IV functional response and impulsive effect[J];Journal of Guilin University of Electronic Technology;2008-03
10 LU Chun(Department of Mathematics,Qingdao Technological University,Qingdao 266520,China);Existence of periodic solution for a semi-ratio-dependent predator-prey system with Holling IV functional response[J];Journal of Science of Teachers' College and University;2008-04
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved