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《Mathematics in Practice and Theory》 2008-21
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On Global Solutions fior a Cubic Predator-prey Cross-diffusion System with Stage-structure

CAO Huai-huo1,2,FU Sheng-mao1(1.College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China)(2.Department of Mathematics and Computer Science,Chizhou College,Chizhou 247000,China)  
Using the energy estimate and Gagliardo-Nirenberg-type inequalities,the existence and uniform boundedness of global solutions for astrongly coupled reaction-diffusion system are proved.This system is a generalization for the stage-structured Lotka-Volterra predator-prey model of two species with self and cross-diffusion.The sufficient condition of global asymptotic stability of the positive equilibrium point for the model is given by constructing Lyapunov function.
【Fund】: 国家自然科学基金(10471157);; 甘肃省自然科学基金(3ZS061-A25-015);; 甘肃省教育厅科研项目(0601-21);; 西北师范大学创新工程项目(NWNU-KJCXGC-03-39)
【CateGory Index】: O175
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【References】
Chinese Journal Full-text Database 1 Hits
1 CAO Huai-huo1,FU Sheng-mao(1.Department of Mathematics and Computer Science,Chizhou College,Chizhou 247000,China;2.Department of Mathematics,Northwest Normal University,Lanzhou 730070,China);Global Existence and Stability of Solutions for a Cubic Predator-Prey System with Cross-Diffusion[J];Mathematica Applicata;2009-04
【Citations】
Chinese Journal Full-text Database 2 Hits
1 ZHENG Jing-bo (Department of Application Mathematical, Anhui University of Technology, Anhui Maanshan 243002 China) YU Zhao-xu SUN Ji-tao (Department of Application Mathematicl, Tongji University 200331 China);Existence and Uniqueness of Limit Cycle about Prey-Predator System with Sparssing Effect[J];Journal of Biomathematics;2001-02
2 SHEN Cong SHEN Bo-qian ( Liaoning Police High Academic School, Dalian Liaoning 116038 China) ( Liaoning Normal University, Dalian Liaoning, 116029 China);A Necessary and Sufficient Condition of the Existence and Uniquence of the Limit Cycles for a Class of Prey-Predator System with Sparssing Effect[J];Journal of Biomathematics;2003-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 HUANG Yong-sui;The Squeeze Theorem and the Upper-lower Solution Methods for Parabolic Partial Defferential Equation[J];Journal of Anhui Vocational & Technical College;2008-04
2 WU Chuan-hua et al (College of Science,Jiangsu University,Zhenjiang,Jiangsu 212013);Study on the Self-adaptive Fuzzy Control of Some Spruce Aphides and Their Predator Interaction Model[J];Journal of Anhui Agricultural Sciences;2008-22
3 WANG Hong xi (College of Literature and Sciences,Anhui Agricultural University, Hefei 230036);Existence of Hopf Bifurcation Periodic Solution to SIRS Epidemiological Models with Nonlinear Incidence Rates[J];Journal of Anhui Agricultural University;2002-02
4 Shun Chengyi Zhang Shuwen (Derpartment of Mathematica,Anshan Teachers College,Ahshan,114005)\;;A Trapped Model of Single Direction in the Varable Price[J];JOURNAL OF ANSHAN TEACHERS COLLEGE;1999-04
5 LIU Hui min (Institute of Biomathematics,Anshan Teachers College,Liaoning Anshan 114005);Economic Harvesting Model with Variable Price and Cost for a Single Population[J];JOURNAL OF ANSHAN TEACHERS COLLEGE;2000-01
6 ZHAO Xiu fen (Department of Mathematics,Anshan Teachers College,Liaoning Anshan 114005,China);Permanence for Two species Lotka Volterra Models with Harvest or Throw in[J];Journal of Anshan Teachers College;2000-04
7 LI Ji huai (Anshan Institute of I&S. Technology,Anshan Liaoning 114000,China) TANG Su fang\ \ WANG Yong sheng\ \ LIU Hui min (Department of Mathematics,Anshan Teachers college,Anshan Liaoning 114005,China);Globol Asymptotic Stability of Three Species Lotka-Volterra Mixed System[J];Journal of Anshan Teachers College;2001-03
8 LIU Hui-min\ \ TANG Ji\ \ QU Li-min\ \ XIAO Yu-zu\ \ CHEN Wei (Department of Mathematics,Anshan Normal University,Anshan Liao ning 114005,China);Global Stability of Predator-prey System with the Functional Re sponse[J];Journal of Anshan Teachers College;2002-01
9 LU Hong-ying,YU Gang (School of Mathematics and Quantitative Economics,Northeast University of Finance and Economics,Dalian Liaoning 116025,China);The Problem of Positive Almost Periodic Solution for Three-Species Lotka-Volterra Models[J];Journal of Anshan Normal University;2008-02
10 Hunag Weifeng Dang Liancheng (Dept.of fundam.sci.);THE STABILITY CHARACTERISTICS OF A KIND OF N-DIMENSIONAL LOTKA-VOLTERRA MODEL[J];Journal of North China University of Technology;1993-01
China Proceedings of conference Full-text Database 3 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 Li Lin (Beijing Institute of Petrochemical Technology Beijing 102600);The Qualitative Analysis of a Model Governed by Nonlinear Differntial Quations[A];[C];2002
3 Huang Dongwei Song Tao School of Science,Tianjin Polytechnic University,Tianjin,300160;Qualitative Analysis of a Kolmogorov System with Constant Harvesting Rate for Preys Group[A];[C];2008
【Secondary Citations】
Chinese Journal Full-text Database 6 Hits
1 Cui Jingan;Chen Lansun(Xinjiang University)(Instituc of Mathematics Academia Sinica);Mathematical Research of the System with Functional Response and Undercrowding Effect[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;1995-01
2 Zhang Yinping (Inst.of Appl.Math .,Shanghai Tiedao Univ.,Shanghai200331);Qualitative Analysis ofa Class of Ecosystem with Sparse Effect[J];Journal of Shanghai Tiedao University;1999-04
3 YangPinghua;Xu Rui;ZhangShijunShijiazhuang Mechanical Engineering College, shijiazhuang 050003;The Limit Cycle of a Class of Ecosystem with Sparse Effect[J];Journal of Biomathematics;1997-04
4 ZHENG Jing-bo (Department of Application Mathematical, Anhui University of Technology, Anhui Maanshan 243002 China) YU Zhao-xu SUN Ji-tao (Department of Application Mathematicl, Tongji University 200331 China);Existence and Uniqueness of Limit Cycle about Prey-Predator System with Sparssing Effect[J];Journal of Biomathematics;2001-02
5 Wu Xingqi Liu Xuesheng (Dept. of Math., Dalian University, 116622)Zhao Zhenhai (Dept. of Appl. Math., Dalian University of Technology, 116024);Existence and Uniqueness of Limit Cycle about Predator Prey System with Sparssing Effect[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1997-01
6 Lu Zhong Hua;Chen Lan Sun(Xi'an Statistics College)(Institute of Mathematics,Academic Sinica);BIFURCATION OF A PREDATOR-PREY SYSTEM WITH CONSTANT RATE STOCKING OF PREY SPECIES[J];JOURNAL OF MATHEMATICS;1994-04
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