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《Mathematics in Practice and Theory》 2013-17
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Periodic Solutions of Impulsive Predator-Prey System with Functional Response

ZHANG Lei;CHEN Si-yang;Basical Department,Wuxi Institute of Arts & Technology;College of Mathematics and Information Science,Shaanxi Normal University;  
The nonautonomous predator-prey system with impulsive effect and sigmoid functional response is studied.A sufficient condition ensuring the existence of positive periodic solution of the system is obtained by using the theory of coincidence degree.
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 4 Hits
1 YAN Zhi-chun1,2(1.Department of Math and Computer Science,Chongqing Normal University, Chongqing 400047,China)(2.Academy of Math and Systems Science,Chinese Academy of Science, Beijing 100190,China);Periodic Solutions of Impulsive Predator-Prey System with Time-Varying Delays and Holing-N Functional Response[J];Mathematics in Practice and Theory;2008-16
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4 Fan Meng,Wang Ke (Department of Mathematics, Northeast Normal University, Changchun 130024);Global Existence of Positive Periodic Solution of a Predator-Prey System with Holling Type Ⅱ Functional Response[J];Acta Mathematiea Scientia;2001-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 CHEN Yi-ping1, XIE Jun-hui2 (1.School of Science, Hubei Institute for Nationalities, Enshi 445000, China; 2.Department of Mathematics, Hunan Normal University, Changsha 410081, China);Analysis of a three-species predator-prey system with impulsive perturbations and non-monotonic functional response[J];Pure and Applied Mathematics;2009-02
2 ZHANG Yun,ZENG Xian-zhong(School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan 411201,China);Existence of positive stationary solutions for a prey-predator model with Holling-Ⅱ type interactions and the mixed boundary conditions[J];Pure and Applied Mathematics;2011-04
3 NIU Hong-ying~1,WU Zhao-chun~2,JI Yang~3(1.Dongwan Middle School,Songsanhu School,Dongwan 523000,China;2.Mathematics Room of Foundation Department,Flight Fundamental Training Base,Air Force Aviation University,Changchun 130022,China;3.Dongwan Experimental Middle School,Dongwan 523000,China);An existence of periodic solution for a non-autonomous competition-predator system with type Ⅱ functional response[J];Journal of Changchun University;2006-04
4 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
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7 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
8 HU Xinli1,2 JIN Shanghai3(1.Dept.of Math.,Xian Jiaotong Univ.,Xian 710049,China;2.Science College,XAUEST,Xian 710048,China;3.Dept.of Math.,Xian Univ.of Tech.,Xian 710048,China);Global existence of positive periodic solution of a predator-prey model[J];Basic Sciences Journal of Textile Universities;2003-03
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10 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
China Proceedings of conference Full-text Database 1 Hits
1 Lei CHEN,Jian-xun ZHANG Faculty of Science,Ningbo University,Ningbo 315211,China;Dynamics of a Predator-Prey System with Impulsive Effect and Beddington-DeAngelis Functional Response[A];[C];2011
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Fan Meng,Wang Ke (Department of Mathematics, Northeast Normal University, Changchun 130024);Global Existence of Positive Periodic Solution of a Predator-Prey System with Holling Type Ⅱ Functional Response[J];Acta Mathematiea Scientia;2001-04
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