Stochastic Nicholson's blowflies model with delays

作     者：Nadia Belmabrouk Mondher Damak Mohsen Miraoui 

作者机构：Faculty of SciencesSfac UniversityBP 1171 SfacTunisia Paris-East Creteil UniversityFrance Faculty of SciencesSfac UniversityBP 1171 SfacTunisia Preparatory Institute for Engineering Studies of Kairouan University of KairouanTunisia 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2023年第16卷第1期

页      面：97-128页

核心收录：

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

主　　题：Pseudo almost periodic solution measure theory fixed point theorem stochastic Nicholson's blowflies model 

摘      要：In this research work,we introduce a new concept of double measure ergodic processes to identify the space of double measure pseudo almost periodic(or pap)processes in the pth mean *** display some findings regarding the completeness as well as the composition theorems and the invariance of the space consisting in double measure pap *** by the above-mentioned results,the Banach fixed point theorem and the stochastic analysis techniques,we prove the existence,uniqueness and the global exponential stability of doubly measure pseudo almost periodic mild solution for a class of stochastic Nicholson s blowflies model with mixed delays in a separable real Hilbert *** concluding part of the work is crowned with an example to confirm the reliability and feasibility of our findings.