带扩散项单种群模型的精确能控性(英文)  

EXACT CONTROLLABILITY OF POPULATION MODEL WITH DIFFUSION

作　　者：董旺远[1] 何红英[1] 

机构地区：[1]华中农业大学理学院,湖北武汉430070

出　　处：《数学杂志》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)

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.

关 键 词：单种群模型 精确能控性 CARLEMAN不等式 最优控制问题 KAKUTANI不动点定理 

分 类 号：O231.4[理学—运筹学与控制论] O175.26[理学—数学]