Global dissipativity of stochastic Lotka-Volterra system with feedback controls  

作　　者：Qimin Zhang Xinjing Zhang Hongfu Yang 

机构地区：[1]School of Mathematics and StatisticsNingxia University, Yinchuan 750021, P. R. China [2]School of Mathematics and Information Sciences Beifang University of Nationalities Yinchuan 750021, P, R. China

出　　处：《International Journal of Biomathematics》2017年第2期127-139,共13页生物数学学报（英文版）

基　　金：The authors would like to thank the editors and reviewers for their valuable comments and constructive suggestions which improved the quality of the paper. This work is supported by the National Natural Science Foundation of China （Grant Nos. 11661054 and 11461053）.

摘　　要：In this paper, a class of stochastic Lotka Volterra system with feedback controls is considered. The purpose is to establish some criteria to ensure the system is globally dissipative in the mean square. By constructing suitable Lyapunov functions as well as combining with Jensen inequality and Ito formula, the sufficient conditions are established and they are expressed in terms of the feasibility to a couple linear matrix inequalities （LMIs）. Finally, the main results are illustrated by examples.

关 键 词：Lyapunov functions linear matrix inequalities Ito formula global dissipativity in mean. 

分 类 号：G[文化科学]