Stability of gene regulatory networks with Lévy noise

作     者：Qi Luo Yangyang Gong Chunxue Jia 

作者机构：School of Information and Control Nanjing University of Information Science and Technology Jiangsu Engineering Research Center on Meteorological Energy Using and Control Collaborative Innovation Center of Atmospheric Environment and Equipment Technology Nanjing China 

出 版 物：《中国科学：信息科学（英文版）》 (Science China Information Sciences)

年 卷 期：2017年第60卷第7期

页      面：223-235页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Natural Science Foundation of China(Grant 61573193) Joint Key Grant of National Natural Science Foundation of China and Zhejiang Province(Grant U1509217) 

主　　题：Lévy noise gene regulatory networks time-varying delays stability analysis instantaneous mutation 

摘      要：The stability of gene regulatory networks has attracted substantial research efforts in the field of systematic *** gene regulatory networks are always subject to noise interference and disruption to the organism either internally or ***,the special case of instantaneous mutation may exist in gene regulatory networks at the mRNA or protein *** with other existing models,a Lévy noisedriven gene regulatory network model has been proved to be more realistic,since it is a powerful tool to describe the above special *** the basis of previous studies,we developed a theoretical proof of the Lévy noisedriven gene regulatory network,and carried out a large number of numerical simulations for *** on adequate analysis of the simulation examples,the sufficient conditions were investigated and are presented herein to obtain the global asymptotic stability of gene regulatory networks with time-varying delays and Lévy noise.