Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Guangxi Normal University(Natural Science Edition)》 2007-01
Add to Favorite Get Latest Update

Analysis of a Holling Type Ⅲ Predator System with Impulsive Effect

LI Zu-xiong,HUANG Jian-min,WANG Jian-jun(College of Mathematical Science,Guangxi Normal University,Guilin 541004,China)  
A Holling Type Ⅲ predator system with impulsive effect is proposed.Conditions for global asymptotic stability of pest-eradication periodic solution and permanence of the system are given.Furthermore,the existence of positive periodic solution is obtained by the bifurcation theory.
【Fund】: 国家自然科学基金资助项目(10461002)
【CateGory Index】: O175.2
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 WAN Shu-li,LIU Jian-xian,HUANG Jian-min(College of Mathematical Science,Guangxi Normal University,Guilin 541004,China);System with Sex-structure for Prey and Diffusion for Predator and Holling's Type Ⅲ Functional Response[J];Journal of Guangxi Normal University(Natural Science Edition);2009-02
2 TANG Xiao-ping1,LI Jing-yun1,GAO Wen-jie2(1.Department of Mathematics,Liuzhou Teacher's College,Liuzhou 545004,Guangxi;2.Institute of Mathematics,Jilin University,Changchun 130012,Jilin);Periodic Solution of Predator-prey Model Exploited with Functional Response[J];Journal of Sichuan Normal University(Natural Science);2008-02
【Citations】
Chinese Journal Full-text Database 4 Hits
1 QIU Hua-hai,CHEN Si-yang (College of Mathematics and Information Science,Shanxi Normal University,Xi'an 710062,China);THE ASYMPTOTICAL PROPERTIES OF A CLASS OF PREDATOR-PREY SYSTEM[J];Journal of Guangxi Normal University(Natural Science);2005-02
2 Yu Jimin; Wang Jikun(Department of Mathematics,Guangxi Liuzhou Teacher's college,545003,Liuzhou,PRC;Department of Mathematics and Computer Science,Guangxi Normal University,541004,Guilin,PRC);PREDATOR-PREY SYSTEM OF WITH CONSTANT RATE HARVESTING OF PREY SPECIES AND WITH FUNCTIONAL RESPONE[J];JOURNAL OF GUANGXI NORMAL UNIVERSITY(NATURAL SCIENCE);1995-04
3 GOU Qing ming (Department of Mathematics, Fuling Teacher's College, Fuling 408003, Chongqing);Permanence and Global Asymptotic Stability for the Three-Species Predator-Prey Patch System[J];Journal of Sichuan Normal University(Natural Science);2002-02
4 Chen Jun-ping (Chongqing University, Chongqing) Zhang Hong-de (Nachung Teachers College, Nachung);The Qualitative Analysis of Two Species Predator-Prey Model with Holling's Type Ⅲ functional Response[J];Applied Mathematics and Mechanics;1986-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ;Quantity Equilibrium Formula between Rodent & Predator in Natural Ecology[J];Journal of Ankang Teachers College;1998-01
2 CHENG Ding-ping 1 QU Guo-sheng 2 (1 Department of Mathmatics, 2 Department of Chemistry, Ankang Teachers' College, Ankang, 725000, China);Mathematical Analysis on Asymptotic stability of Rodent—Predator System[J];JOURNAL OF ANKANG TEACHERS COLLEGE;2000-02
3 JIAO Zhen-Biao1,WAN Tao1,WEN Jun-Bao1,HU Jia-Fu1,LUO You-Qing1,ZHANG Lin-Sheng2,FU Lin-Ju21.Key Laboratory for Silviculture and Conservation,Ministry of Education,Beijing Forestry University,Beijing 100083,China2.The Forest Disease and Pest Control station of Wulate Qianqi,Inner Mongolia Autonomous Region,Wulate Qianqi 014400,China;Functional response and numerical response of great spotted woodpecker Picoides major on Asian longhorned beetle Anoplophora glabripennis larvae[J];Acta Zoologica Sinica;2008-06
4 YAN Xiang-ping, ZHANG Cun-hua (Department of Basic Science,Lanzhou Railway University, Lanzhou 730070,China);The limit cycle of a class of n-degree Kolmogorov' s system[J];Basic Sciences Journal of Textile Universities;2003-02
5 TIAN Ya-pin,CHEN Si-yang(College of Mathematics and Information Science,Shaanxi Normal Univeristy,Xi′an 710062,China);A 4-order difference equation with discrete delay[J];Basic Sciences Journal of Textile Universities;2006-03
6 Chen Xiaoyin Huang Qiyu (Department of Mathematics);The Limit Cycles of the Predator-prey System with General Functional Response[J];Journal of Fujian Normal University(Natural Science Edition);1993-01
7 YAN Xiang-ping, ZHANG Cun-hua (College of Mathematics, Physics & Software Engineering, Lanzhou Jiaotong University, Lanzhou,730070, China);The Limit cycle of a kind of Kolmogorov's System[J];Journal of Gansu Sciences;2004-01
8 LI Zu-xiong,HUANG Jian-min,CHEN Fei(Mathematics Science College,Guangxi Normal University,Guilin,Guangxi,541004,China);Analysis of a Holling Type Ⅲ Predator System with Impulsive Effect[J];Guangxi Sciences;2006-04
9 PAN Rong,FENG Chun-hua(College of Mathematical Science,Guangxi Normal University,Guilin 541004,China);Periodic Solutions of Predator-prey Systems with Distributed Delays[J];Journal of Guangxi Normal University(Natural Science Edition);2008-03
10 XIAO Hai-bin(Dept. of Math.,School of Sciences,Ningbo Univ.,Ningbo, 315211,China;Dept.of Math.,Nanjing Univ., Nanjing 210093, China);Existence and uniqueness of limit cycle for Holling's type Ⅲpredator-prey dynamic system with double density restriction[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2006-04
China Proceedings of conference Full-text Database 2 Hits
1 Cheng Shuhan~1,Xu Chenshan~2,Li Ming~3,Xin Zeshan~1,Shu Huairui~2,Wang Yan'an~(4※) (1.College of Information Science and Engineering,Shandong Agricultural University,Tai'an 271018;China; 2.College of Horticulture Science and Engineering,Shandong Agricultural University,Tai'an 271018;China; 3.National Engineering Research Center for Information Technology in Agriculture,Beijing 100097;China; 4.State Key Laboratory of Crop Biology/College of Life Science,Shandong Agricultural University,Tai'an 271018,China);Mathematical model of chemical control of crop pest[A];[C];2008
2 Xiao Haibin Mathematical department University of Ningbo Fenghua Road 818, Ningbo City, Zhejiang, China;Global Analysis of Predator-Prey Dynamical System with General Functional Response[A];[C];2010
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 DU Xue wu 1, YUAN San ling 2 (1 Jiaozuo Institute of Technology,Jiaozuo 454151; 2 Faculty of Science,Xi’an Jiaotong University,Xi’an 710049);A Study on a Kind of Periodic Model with Ⅲ Response Function of Three Groups[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;2000-03
2 YAN Jian-ming,ZHANG Hong,LUO Gui-lie,YANG Qi-gui(College of Mathematical Science,Guangxi Normal University,Guilin 541004,China);Persistence of Positive Periodic Solution of Predator-Prey System with Continuous Time Delay and Functional Response and Diffusion[J];Journal of Guangxi Normal University(Natural Science Edition);2007-01
3 YU Pei~1,GOU Qing-ming~2(1.School of Computer and Information,Chongqing Jiaotong University,Chongqing 400074;2.Department of Mathematics,Fuling Normal College,Fuling 408003,Chongqing);Permanence for a Three-species Predator-prey Delayed Systems with Michaelis-Menten Type Functional Response[J];Journal of Sichuan Normal University(Natural Science);2006-04
4 CHENG Ya-huan~1,LI Dong-mei~2(1.Department of Mathematics,Tonghua Teacher's College,Tonghua 134002,Jilin; 2.College of Applied Science,Harbin University of Science and Technology,Harbin 150080,Heilongjiang);On the Existence of 2-D Time-varying Volterra Cooperative System[J];Journal of Sichuan Normal University(Natural Science);2006-05
5 TIAN Bao-dan(School of Science,Southwest University of Science and Technology,Mianyang 621010,Sichuan);Asymptotic Behavior for a Nonautonomous Prey-predator System with Feed-back Control and Holling IV Functional Response[J];Journal of Sichuan Normal University(Natural Science);2006-06
6 LIU Hanwu ( Science College, Hebei University of Science & Technology, Shijiazhuang 050018,China ).;Population dynamics of different sex with different birth rate and death rate.[J];Chinese Journal of Ecology;2003-01
7 Ye Dan Fan Meng Zhang Wei-peng (Department of Mathmatics, Key Laboratory for Vegetation Ecology of the Ministry of Education of China, Northeast Normal University, Changchun Jilin 130024 China);Existence of Positive Periodic Solution of a Predator-Prey System[J];Journal of Biomathematics;2004-02
8 WU Xin-min (Department of Mathematics,Shaoyang University,Shaoyang Hunan 422000 China);Existence of Positive Periodic Solution for a Prey-Predator Model with Sex-Structure[J];Journal of Biomathematics;2007-02
9 XU Chang-yong~1 WANG Mei-juan~2 YUAN San-ling~2 ZHOU Yan-li~2 (1 School of Economics and Management,Shanghai Second Polytechnic University,Shanghai 201209 China) (2 College of Science,Shanghai University for science and Technology,Shanghai 200093 China);Study on a Nonautonomous System of Two Species Predator-Prey System with Stage-Structure for Predator and Sex-Stucture for Prey[J];Journal of Biomathematics;2007-03
10 Yuan Sanling,Jin Zhen,Ma Zhi′en (Xi′an Jiaotong University, Xi′an 710049, China);Global Existence of Positive Periodic Solution in Predator Prey System[J];JOURNAL OF XI'AN JIAOTONG UNIVERSITY;2000-10
【Secondary References】
Chinese Journal Full-text Database 4 Hits
1 TANG Hui,YANG Zhi-chun (College of Mathematics Science,Chongqing Normal University,Chongqing 400047,China);Persistence and Existence of Periodic Solution for Predator-Prey System with Holling-N Type Functional Response[J];Journal of Chongqing Normal University(Natural Science);2010-05
2 XU Tian-hua(Department of Mathematics,Kangding Normal College for Nationalities,Kangding Sichuan 626001,China);Periodic Solution of Prey-Predator System with Time-delays of Diffusion and Infinite Distribution[J];Sichuan University of Arts and Science Journal;2009-02
3 HUA Ying-ying,YANG Zhi-chun(College of Mathematics,Chongqing Normal University,Chongqing 400047,China);The Existence of Positive Solutions of a Random Perturbations of the Ratio of Holling-rely on(n+1) Type Predator-Prey Systems[J];Journal of Chongqing Normal University(Natural Science);2011-05
4 YAO Xiaojie1,QIN Fajin1,2,LUO Fangqiong11.Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou 545004,Guangxi Province,China;2.Mathematical College,Sichuan University,Chengdu 610064,China;Multiple positive periodic solutions for a class of discreted Leslie system with monotonic functional response and harvesting[J];Journal of Tianjin Normal University(Natural Science Edition);2010-01
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Lu Zhong Hua ;Chen Lan Sun (Xi'an Statistics College) ( Institute of Matjmatics, Academia Siniea );ANALYSIS OF A PREDATOR-PREY SYSTEMWITH CONSTANT RATE HARVESTINGOF PREY SPECIFS[J];JOURNAL OF MATHEMATICS;1994-04
2 Cai Sui-lin;Zhang Ping-guang Zhejiang University, Hangzhou 310027;ON THE DECISION PROBLEM OF THE CENTRE OR FOCUS FOR THE SYSTEM =φ(y)-F(x),=-g(x)[J];Acta Mathematicae Applicatae Sinica;1993-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved