摘要
本文研究了一类单种群生态模型的精确能控性问题. 利用线性化系统的Carleman估计和Kakutani不动点定理, 证明了该模型稳态解的局部能控性. 它反应了外部控制在种群演变过程中的影响作用.
In this article, we investigate the exact controllability of a class of population model. By using Carleman estimates for the linearized equation and Kakutani fixed point theorem, we establish the local controllability of steady state solutions to this model. The results fully reflect the influence action of external control in evolution of population.
出处
《数学杂志》
CSCD
北大核心
2009年第6期699-704,共6页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China (60574107)
"Xinhuo"Special Project of Huazhong Agricultural University (52204-09039)
