种群动力学生态环境模型的近似解

The Approximate Solution of Species Groups Dynamic Ecotogical Environmental Model

下载PDF

导出

摘要研究了一类种群生态环境问题.描述了动力学模型.利用同伦映射理论和方法,得到了相应模型的近似解. In this paper, a class of species group ecotogical environmental problem is considered. The dynamic model is described. Using the homotopic mapping theory and method, the corresponding approximate solution is obtained.

作者莫嘉琪张伟江何铭

机构地区安徽师范大学数学系上海高校计算科学E-研究院

出处《南开大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第1期92-95,共4页 Acta Scientiarum Naturalium Universitatis Nankaiensis

基金国家自然科学基金(90111011,10471039) 国家重点基础研究发展计划(2003CB415101-03,2004CB418304) 中国科学院创新方向性(KZCX3-SW-221) 上海市教育委员会 E-研究院建设计划项目(N.E03004)

关键词种群非线性同伦映射 species group nonlinear homotopic mapping

分类号 O175.14 [理学—数学]

引文网络
相关文献

参考文献9

1May R M. Will a large complex system be stable[J].Nature, 1972, 238: 413-414. 被引量：1
2May R M. Biological populations with nonoverlapping generations: stable point, stable cycles, and chaos[J]. Science, 1974. 186: 645-647. 被引量：1
3de Jager E M, Jiang F R. The Theory of Singular Perturbation [M ]. Amsterdam: North-Holland Publishing Co, 1996. 被引量：1
4Hwangm S. Kinetic decomposition for singularly perturbed higher order partial differential equations[J]. J Diff Eqns, 2004, 200(2): 191-205. 被引量：1
5Zhang F. Coexistence of a pulse and multiple spikes and transition layers in the standing waves of a reaction-diffusion system[J]. J Diff Eqns, 2004, 205(1): 77-155. 被引量：1
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
7Mo Jiaqi, Wang Hui. A class of nonlinear nonlocal singularly perturbed problems for reaction diffusion equations[J]. J Biomathematics, 2002, 17(2) : 143-148. 被引量：1
8王顺庆等著..数学生态学稳定性理论与方法[M].北京:科学出版社,2004:456.
9Liao S J. Beyond Perturbation: Introduction to the Homotopy Analysis Method[M]. New York: CRC Press Co, 2004. 被引量：1

共引文献212

1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
2Yao 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
3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
4LIU,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
5Liu 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
6Mo 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
7Jingsun 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.
8Jiaqi 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 ECOLOGICAL REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2010,26(3):292-296.
9Jiaqi Mo 1,2 , Jingsun Yao 1 (1. Dept. of Math., Anhui Normal University, Wuhu 241003, Anhui,2. Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240).ASYMPTOTIC SOLUTION TO MODEL FOR A CLASS OF VIRUS TRANSMISSION[J].Annals of Differential Equations,2010,26(4):436-441. 被引量：1
10Lihua Chen Dept.of Math.and Computer Science,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian Jiaqi Mo Dept.of Math.,Anhui Normal University,Wuhu 241003,Anhui,Faculty of Science,Huzhou Teacher College,Huzhou 313000,Zhejiang,.THE INTERIOR LAYER SOLUTION TO NONLOCAL REACTION DIFFUSION EQUATIONS[J].Annals of Differential Equations,2011,27(4):434-439.

1戴国仁.具有HollingⅡ型功能性反应的三种群生态系统正平衡点的存在性[J].柳州师专学报,1995,10(1):17-25.
2李彬.具有功能反应函数的种群生态竞争系统周期正解的存在性[J].电力学报,2008,23(3):177-179.
3姜福全.一类四种群生态系统的建模[J].长春师范学院学报（自然科学版）,2007,26(5):9-11.
4胡玉彪,乔文华.一维格点链上食饵—捕食者模型的蒙特卡洛模拟[J].阴山学刊（自然科学版）,2015,29(3):17-22.
5莫嘉琪,王辉,谢峰.栖息地与种群灭绝的生态系统耦合模型的近似解[J].兰州大学学报（自然科学版）,2007,43(6):81-84.
6张利群,丁本艳.基于种群生态模型的旅行社竞争分析[J].河南科技,2014,33(2):195-195. 被引量：1

南开大学学报（自然科学版）

2008年第1期

浏览历史

内容加载中请稍等...

种群动力学生态环境模型的近似解

参考文献9

共引文献212

相关作者

相关机构

相关主题

浏览历史