一维Brusselator模型  

One-Dimensional Brusselator Model

作　　者：吴波[1] 张余辉[1] 

机构地区：[1]北京师范大学数学科学学院,北京100875

出　　处：《应用概率统计》2005年第3期225-234,共10页Chinese Journal of Applied Probability and Statistics

基　　金：973项目;国家自然科学基金(批准号10121101;10025105和10101003)教育部博士点基拿(批准号20010027007和20040027009)资助项目.

摘　　要：用两种方法证明了一维Brusselator模型对应的Q过程非强遍历.对一个修正的一维Brusse—lator模型,证明了其对应的Q过程是强遍历的.应用其方法研究了一类扩展的分支过程,得到该过程强遍历的一个必要条件.In the paper, it is proven that the Q-process corresponding to one-dimensional Brusselator model is not strongly ergodic by two different methods. Meanwhile, for a one-dimensional modified Brusselator model, the strong ergodicity of the corresponding Q-process is deduced. Applying the ideas for an extended class of continuous-time branching processes, one necessary condition is obtained for the strong ergodicity of the processes.

关 键 词：BRUSSELATOR模型 强遍历 生灭过程 

分 类 号：O211.6[理学—概率论与数理统计]