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《Journal of Donghua University(Natural Science)》 2012-01
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Mathematical Analysis of a Predator-Prey Model

GU Xing(College of Science,Donghua University,Shanghai 201620,China)  
A predator-prey model considers some mixture of tracking prey and tracking the prey's resource,and it actually is a system of reaction-diffusion equations with self-diffusion and cross-diffusion.Based on the Schauder fixed-point theorem,this paper proves the global existence and boundedness of a weak solution to the model.
【CateGory Index】: O175
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 GUO Jin-yong(Department of Mathematics and Computer Science Liuzhou Teachers College,Liuzhou 545004,China);The Existence of Weak Solution for a Fourth Order Degenerate Parabolic Equation with Nonlinear Item[J];College Mathematics;2009-05
2 LIANG Yi,HAN Xiang-ling,XU Gao(College of Mathematics and Computational Science,Changsha University of Science & Technology,Changsha 410014,China);Mixing enhancement in model of the Streeter-phelps by optimal tuning of flows[J];Journal of Hunan University of Arts and Science(Natural Science Edition);2011-02
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5 CHEN Li **, CHEN Xiuqing Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China; School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China;Dirichlet-Neumann Problem for Unipolar Isentropic Quantum Drift-Diffusion Model[J];清华大学学报(自然科学版)(英文版);2008-04
6 Yao Zheng'an(Wuhan Institute of Physics, Chinese Academy of Sciences, Wuhan 430071)Tan Zhang(Department of Mathematics, Xiamen University, Xiamen 361005)Lin Shengzhi(Hunan Wemen Professional University, Changsha 410014);Correctors for the Homogenization of some Semilinear Wave Equations[J];JOURNAL OF MATHEMATICAL STUDY;1999-01
7 Yuejun PENG~* Shu WANG~(**) ~*Laboratoire de Mathématiques,CNRS UMR 6620,UniversitéBlaise Pascal(Clermont-Ferrand 2),63177 Aubière cedex,France. ~(**)College of Applied Sciences,Beijing University of Technology,Beijing 100022,China.;Convergence of Compressible Euler-Maxwell Equations to Compressible Euler-Poisson Equations[J];数学年刊B辑(英文版);2007-05
8 ZHOU Shulin Laboratory of Mathematics and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China.;L~∞-ESTIMATES FOR SOME NONLINEAR PARABOLIC EQUATIONS[J];Chinese Annals of Mathematics,series A;2003-02
9 Feng Quan LI (Department of Mathematics, Qufu Normal University, Qufu 273165, P. R. China);Existence of Entropy Solutions to Some Parabolic Problems with L~1 Data[J];Acta Mathematica Sinica;2004-06
10 Li Fushan~(1,2) Lin Xiuli~1 (1.School of Mathematical Sciences,Qufu Normal University,Qufu 273165,Shandong;2.Institute of Mathematics,Fudan University,Shanghai 200433);EXISTENCE AND UNIQUENESS OF THE SOLUTION TO THE VISCOELASTIC EQUATIONS FOR KOITER SHELLS[J];微分方程年刊(英文版);2007-03
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