随机环境中受病毒传染性影响的两性分枝过程的概率母函数和灭绝条件  

Probability Generating Functions and Extinction Conditions for the Bisexual Branching Process Affected by Infectivity of Virus in Random Environments

作　　者：任敏 王晶晶[1] 王艳萍 REN Min;WANG Jingjing;WANG Yanping(School of Mathematics and Statistics,Suzhou College,Suzhou 234000,Anhui,China)

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《武汉大学学报（理学版）》2021年第3期263-269,共7页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金面上项目(11371029);安徽省高校自然科学基金(KJ2020A0731);安徽省质量工程研究项目(2018jyxm0697);宿州学院科研平台开发课题(2017ykf09,2020ykf18),宿州学院重点科研项目(2019yzd08)。

摘　　要：建立了独立同分布随机环境中受病毒传染性影响的两性分枝过程模型,研究了该过程的马氏性、概率母函数的一些关系。利用这些关系,讨论了在常见配对函数下过程灭绝的几个充分条件。The model of bisexual branching process affected by infectivity of virus in independent and identically distributed random environment is established firstly, then the Markov property and some relations of the probability generating functions for this model are studied.By using these relations, some sufficient conditions for process extinction under common pairing functions are discussed.

关 键 词：随机环境 病毒传染性 两性分枝过程 概率母函数 灭绝概率 

分 类 号：O211.65[理学—概率论与数理统计]