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《Journal of Beijing Institute of Technology》 1993-01
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On a Mathematical Model for the Formation of HemoDoiesis

Niu Zhiying Wan Wenhua (Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081)  
A basic model in immunology, that of the formation of hemopoiesis, and the corresponding initial and boundary value problem for a reaction-diffusion system with time delay is studied. By using the upper and lower method and a well-defined iterated scheme, the existence, uniqueness, boundedness, and non-negativeness of the global solutions are proved. Especially the uniqueness of equilibrium solutions under some conditions are proved . The asymptotic behavior of the equilibrium solutions are discussed. The sufficient conditions for stabiMty of the equilibrium solutions are given.
【Fund】: 高等学校博士学科点专项科研基金
【CateGory Index】: O175.8;O175.13
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WANG Chang-you, LI Shu-yong, YANG Zhi-guo (College of Mathematics and Software Science, Sichuan Normal University, Chengdu610066,China);Periodic solutions of reaction-diffusion systems with time delays[J];Journal of Anhui University(Natural Sciences);2004-03
2 WANG Chang-you(Institute of Applied Mathematics,Chongqing University of Posts and Telecommunications,Chongqing 400065,China);Existence of solution and compare method of elliptic boundary value problems[J];Journal of Anhui University(Natural Sciences);2006-03
3 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
4 Wei Hong (Basic Department,Inner Mongolia Polytechnic University,Huhhot,010062);THE FINITE ELEMENT ANALYSIS FOR A MODEL OF CONCRETE ENGINEERING MECHANICS[J];JOURNAL OF ANHUI INSTITUTE OF ARCHITECTURE;2000-04
5 Zhang Zhiyue, Wei Hong (The Basic teaching Department of Inner Mongolian Polytechnic University);GLOBAL DIE-OUT PROBLEM FOR THE SOLUTIONS OF A CLASS NONLINEAR PARABOLIC SYSTEM[J];JOURNAL OF ANHUI INSTITUTE OF ARCHITECTURE;1998-01
6 PAN Jie,\ LI Shu-yong (Department of Mathematics, Sichuan Agriculture University, Ya'an 625014, China);TRAVELING WAVE FORNTS OF THE MICHAELIS-MENTENREACTION-DIFFUSION EQUATION WITH DELAY[J];Journal of Anhui Normal University(Natural Science);2005-02
7 LIU Ying-dong (School of Sciences, Beijing JiaoTong University, Beijing 100044,China);Mathematical Mechanism of Turning Pattern Dynamics[J];Journal of Northern Jiaotong University;2004-03
8 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
9 Zhao Baoyuan Department of Applied Mathematics and Physics;A Time Optimal Control Problem for Gas-Solid Reaction[J];;1992-02
10 WANG Dong-mei HUANG Jin-yang(College of Science, Beijing University of Chemical Technology, Beijing 100029,China);Large time behavior of the solutions to the models for a reactor with periodic flow reversal[J];Journal of Beijing University of Chemical Technology;2005-02
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