摘要
在这篇文章中,我们通过综述近20年来对生理结构种群动力系统的研究概况,介绍了算子半群,分岔等非线性分析的教学理论,特别是无穷维动力系统理论在种群生态学研究中的应用.我们希望由此引起对如何应用现代数学理论研究种群生态学的更多的思考.
In this paperl we give a brief accoullt of the researches during the last twellty years on the dynamical systems of the physiologically structured populations, and iniroduce the aPplications of the mathematical theory of nonlinear analysis, such as the theories of semigroup of operators and bifurcation, especially the theory of indnite-dimensional dynandcal systems to popul8tion ecology We hope that this iniroduction will stimulate mathematicians to pay more attelltion to the mathematical problems in the population ecology
出处
《数学进展》
CSCD
北大核心
1999年第5期393-403,共11页
Advances in Mathematics(China)
基金
国家自然科学基金!19571010
关键词
结构种群
无穷维
动力系统
算子半群
种群生态学
physiologically structured population
infinite dimensional dynamical system
semigroup of operators
bifurcation