非线性种群反应扩散系统的奇摄动(英文) 被引量：3

Singular Perturbation for Nonlinear Species Group Reaction Diffusion Systems

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摘要研究了一类具有非线性种群反应扩散系统奇摄动问题,在适当的条件下,利用微分不等式理论,讨论了问题解的存在性和渐近性态． A class of nonlinear species group reaction diffusion systems for singularly perturbed problems are considered, Under suitable conditions, using theory of differential inequalities the existence and asymptotic behavior of solution for initial boundary value problems are studied.

作者莫嘉琪周康荣

机构地区湖州师范学院

出处《生物数学学报》 CSCD 北大核心 2006年第4期481-488,共8页 Journal of Biomathematics

基金 Supported by important study project of the National Natural Science Foundation of China (Grant Nos.90111011 and 10471039)the State Key Development Program for Basis Reasearch of China (Grant No.2004CB418304)the Key Project of the Chinese Academy of Sciences (Grant No.KZCX3-SW-221) and in Part by E-Institutes of Shanghai Municipal Education Commission,China (Grant No.N.E 3004)

关键词非线性种群反应扩散奇摄动 Nonlinear Species group Reaction diffusion Singular perturbation

分类号 O175.29 [理学—基础数学]

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参考文献9

1莫嘉琪,欧阳成.A CLASS OF NONLOCAL BOUNDARY VALUE PROBLEMS OF NONLINEAR ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS[J].Acta Mathematica Scientia,2001,21(1):93-97. 被引量：64
2莫嘉琪,冯茂春.THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH TIME DELAY[J].Acta Mathematica Scientia,2001,21(2):254-258. 被引量：31
3MOJiaqi,ZHUJiang,WANGHui.Asymptotic behavior of the shock solution for a class of nonlinear equations[J].Progress in Natural Science:Materials International,2003,13(10):768-770. 被引量：141
4MO Jiaqi (Department of Mathematics, Anhui Normal University, Wuhu 241000, China).A CLASS OF SINGULARLY PERTURBEDBOUNDARY VALUE PROBLEMS FOR NONLINEARDIFFERENTIAL SYSTEMS[J].Systems Science and Mathematical Sciences,1999,12(1):55-58. 被引量：51
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6莫嘉琪.SINGULAR PERTURBATION FOR A CLASS OF NONLINEAR REACTION DIFFUSION SYSTEMS[J].Science China Mathematics,1989,32(11):1306-1315. 被引量：213
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9MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China,2. National Natural Science Foundation of China, Beijing 100085, China).Shock solution for quasilinear singularly perturbed Robin problem[J].Progress in Natural Science:Materials International,2002,12(12):945-947. 被引量：70

二级参考文献32

1MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China,2. National Natural Science Foundation of China, Beijing 100085, China).Shock solution for quasilinear singularly perturbed Robin problem[J].Progress in Natural Science:Materials International,2002,12(12):945-947. 被引量：70
2莫嘉琪.A CLASS OF SINGULARLY PERTURBED REACTION DIFFUSION INTEGRAL DIFFERENTIAL SYSTEM[J].Acta Mathematicae Applicatae Sinica,1999,15(1):18-23. 被引量：31
3MO Jiaqi (Department of Mathematics, Anhui Normal University, Wuhu 241000, China).A CLASS OF SINGULARLY PERTURBEDBOUNDARY VALUE PROBLEMS FOR NONLINEARDIFFERENTIAL SYSTEMS[J].Systems Science and Mathematical Sciences,1999,12(1):55-58. 被引量：51
4莫嘉琪.SINGULAR PERTURBATION FOR A REACTION DIFFUSION SYSTEM IN BACTERIA GROWTH[J].Acta Mathematica Scientia,1992,12(4):400-407. 被引量：2
5莫嘉琪.一类高阶椭圆型偏微分方程的奇摄动[J].应用数学学报,1993,16(1):114-120. 被引量：8
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7莫嘉琪,陈育森.一类具有非局部边界条件的反应扩散方程奇摄动问题[J].数学物理学报（A辑）,1997,17(1):25-30. 被引量：10
8Mo Jiaqi，应用数学学报，1998年，21卷，471页
9Mo Jiaqi，Acta Math Sci，1997年，17卷，44页
10Mo Jiaqi，应用数学学报，1997年，20卷，544页

共引文献318

1欧阳成,莫嘉琪.一个非线性方程转向点问题[J].应用数学,2001,14(2):6-7. 被引量：8
2林万涛,莫嘉琪.简单ENSO海-气耦合模式摄动解的渐近性态[J].科学通报,2003,48(z1):78-81. 被引量：1
3Yao Jingsun, Mo Jiaqi (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).SINGULARLY PERTURBED SOLUTION TO SEMILINEAR HIGHER ORDER REACTION DIFFUSION EQUATIONS WITH TWO PARAMETERS[J].Annals of Differential Equations,2009,25(1):91-96. 被引量：1
4冯茂春.一类微分方程激波解的多层现象[J].杭州师范学院学报（自然科学版）,2003,2(1):12-15.
5莫嘉琪.具有奇性方程的非线性奇摄动问题的正解(英文)[J].应用数学,2010(1):13-17. 被引量：1
6MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China,2. National Natural Science Foundation of China, Beijing 100085, China).Shock solution for quasilinear singularly perturbed Robin problem[J].Progress in Natural Science:Materials International,2002,12(12):945-947. 被引量：70
7LIU,Qi-lin(刘其林),MO,Jia-qi(莫嘉琪).THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS OF THE REACTION DIFFUSION EQUATIONS IN A PART OF DOMAIN[J].Applied Mathematics and Mechanics(English Edition),2001,22(10):1192-1197. 被引量：1
8Liu Shude~1 Chen Lihua~2 Mo Jiaqi~(1,3) (1.Dept.of Math.,Anhui Normal University,Wuhu 241000,Anhui,2.Dept.of Math.,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian,3.Division of Computational Science,E-Institutes of Shanghai Universities,at SJTU,Shanghai 200240).THE INITIAL-BOUNDARY VALUE PROBLEMS OF NONLINEAR AND NONLOCAL SINGULARLY PERTURBED REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2008,24(1):20-28. 被引量：5
9Mo Jiaqi1,2,Yao Jingsun1(1. Dept. of Math.,Anhui Normal University,Wuhu 241000,Anhui,2. Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240).THE GENERALIZED FUNCTIONAL-VARIATION SOLVING METHODS FOR NONLINEAR REACTION DIFFUSION IN BIONOMICS OF SPECIES GROUPS[J].Annals of Differential Equations,2008,24(2):193-196. 被引量：1
10Jingsun Yao, Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui,Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO NONLINEAR REACTION DIFFUSION EQUATION WITH TWO SMALL PARAMETERS[J].Annals of Differential Equations,2010,26(1):100-104.

同被引文献21

1唐荣荣.THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM OF NONLINEAR INTEGRO-DIFFERENTIAL SYSTEM[J].Annals of Differential Equations,2004,20(4):407-412. 被引量：11
2唐荣荣.一类非线性奇摄动方程的激波问题(英文)[J].数学进展,2005,34(2):233-240. 被引量：16
3原三领,马知恩,韩茂安.一类含时滞SIS流行病模型的全局稳定性[J].数学物理学报（A辑）,2005,25(3):349-356. 被引量：13
4唐荣荣.非线性奇摄动两点边值问题的激波性态(英文)[J].数学进展,2005,34(4):497-502. 被引量：21
5唐荣荣.一类窄带随机激励下的非线性问题的同伦解法[J].应用数学,2006,19(1):106-109. 被引量：4
6莫嘉琪.高阶半线性椭圆型方程奇摄动广义Dirichlet边值问题(英文)[J].数学进展,2006,35(1):75-81. 被引量：26
7唐荣荣.超短超强脉冲激光产生的电离通道的存活性态分析[J].物理学报,2006,55(2):494-498. 被引量：8
8唐荣荣.一类具有非整数幂的非线性奇异摄动内层问题[J].应用数学学报,2007,30(2):297-303. 被引量：4
9唐荣荣.一类具有边界摄动的非线性问题的渐近解及其可解性条件[J].高校应用数学学报（A辑）,2007,22(2):167-172. 被引量：1
10莫嘉琪,姚静荪,王辉.非线性种群反应扩散系统奇摄动ROBIN问题(英文)[J].生物数学学报,2007,22(2):193-199. 被引量：3

引证文献3

1陈丽华,莫嘉琪.生物数学中的反应扩散系统的同伦映射方法(英文)[J].生物数学学报,2008,23(3):385-389. 被引量：2
2唐荣荣.一类传染病动力学时滞模型的分析[J].生物数学学报,2010,25(2):287-293. 被引量：1
3裘叶芳,唐荣荣.一类非线性奇摄动方程的匹配解法和解的精度估计[J].大学数学,2010,26(6):47-52. 被引量：1

二级引证文献4

1CHEN Lihua1, MO Jiaqi2,3 1. Department of Mathematics and Computer Science, Fujian Normal University, Fuqing 350300, Fujian, China,2. Department of Mathematics, Anhui Normal University, Wuhu 241000, Anhui, China,3. Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiao Tong University, Shanghai 200240, China.Solvability for Nonlinear Reaction Diffusion Equation with Boundary Perturbation[J].Wuhan University Journal of Natural Sciences,2009,14(6):481-483.
2陈大学.传染病的数学模型及其动力学特征研究[J].现代医药卫生,2011,27(24):3687-3689.
3许进.匹配渐近展开法、多尺度方法及合成展开法在奇摄动边值问题中的应用[J].巢湖学院学报,2013,15(6):9-13.
4莫嘉琪,汪维刚,石兰芳.一类病毒传播模型的近似解(英文)[J].应用数学,2015,28(1):10-15.

1赵春色,刘迎东.具有扩散项的SIR模型的动力学[J].北京交通大学学报,2007,31(3):84-86. 被引量：3
2邓静,谢成康,刘忠诚.一类耦合反应扩散系统的边界控制[J].西南大学学报（自然科学版）,2017,39(5):126-131. 被引量：2
3沈林,周红玲.一类脉冲反应扩散系统的行波和传播速度[J].山东科学,2017,30(3):88-93.

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