分支理论在高维生物模型中的应用被引量：4

原文传递

导出

摘要本文介绍分支理论和浑沌理论在高维生物模型中的应用,提供了许多可供研究的模型,是一篇较好的综述报告.

作者井竹君林怡平

机构地区中国科学院数学研究所昆明工学院数学教研室

出处《数学的实践与认识》 CSCD 北大核心 1992年第4期61-74,共14页 Mathematics in Practice and Theory

关键词分支理论生物模型高维

参考文献7

1Wei-min Liu,Herbert W. Hethcote,Simon A. Levin. Dynamical behavior of epidemiological models with nonlinear incidence rates[J] 1987,Journal of Mathematical Biology(4):359～380
2Ira B. Schwartz,H. L. Smith. Infinite subharmonic bifurcation in an SEIR epidemic model[J] 1983,Journal of Mathematical Biology(3):233～253
3Yasuhiro Takeuchi,Norihiko Adachi. Existence and bifurcation of stable equilibrium in two-prey, one-predator communities[J] 1983,Bulletin of Mathematical Biology(6):877～900
4H. L. Smith. Subharmonic bifurcation in an S-I-R epidemic model[J] 1983,Journal of Mathematical Biology(2):163～177
5H. L. Smith. Multiple stable subharmonics for a periodic epidemic model[J] 1983,Journal of Mathematical Biology(2):179～190
6Josef Hofbauer. A general cooperation theorem for hypercycles[J] 1981,Monatshefte für Mathematik(3):233～240
7H. I. Freedman,Paul Waltman. Predator influence on the growth of a population with three genotypes[J] 1978,Journal of Mathematical Biology(4):367～374

1李后强.分形理论在大分子科学及相关领域中的一些应用[J].大自然探索,1993,12(1):28-32. 被引量：27
2陈志勇.一类二阶齐次线性微分方程解的渐近性态[J].数学的实践与认识,1993,23(2):81-85. 被引量：1
3张嘉宾.系统林学[M].昆明:云南人民出版社,1992..
4KubicekM MarekM著刘式达刘式适译.分岔理论和耗散结构的计算方法[M].北京：科学出版社,1990.51-84.
5DONG J. & LIN Y P. Bifurcation and chaos of the dynamical models of mantle convection in an imposed vertical magnetic field[A] .Proceedings of the International Conference on Differential Equations & Computational Simulations [C] . World Scientific.2000. 61-65.
6Langton C G. Studying artificial life with cellular automata [J].Physica D, 1986. 22: 120- 149.
7Packard N. Adaptation toward the edge of chaos [ A]. Technical Report. Center for complex system research [ M]. Illinois: University of Illinois. CCSR 85 - 5. 1988:65-75.
8Kauffman S A.Origins of order in evolution: self-organization and selection[Al. Goodwin B, Saunders P, et al. Theoretical Biolcgy[M] .Baltimore Maryland: Johns Hopkins University Press,1989:67-88.
9Kauffman S A. Antichaos and adaptation [ J ] . Sci Am, 1991,8 :64 - 70.
10Kauffman S A. Johson S.Coevolution to the edge of chaos : coupled fitness lanckscapes, poised states, and coevolutionary avalanches [J ] .J TheorBiol, 1991,149:467-505.

数学的实践与认识

1992年第4期

内容加载中请稍等...