CRITICAL BEHAVIOUR OF THE PARTNER MODEL

• 成果类型: Article
• 署名作者: Foxall, Eric
• 署名单位: Arizona State University; Arizona State University-Tempe
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/15-AAP1163
• 发表日期: 2016
• 页码: 2824-2859
• 关键词: contact-processes

摘要

We consider a stochastic model of infection spread incorporating monogamous partnership dynamics. In [Ann. AppL Probab. 26 (2016) 1297-1328], a basic reproduction number R-0 is defined with the property that if R-0 < 1 the infection dies out within O(log N) units of time, while if R-0 > 1 the infection survives for at least e(gamma N) units of time, for some gamma > 0. Here, we consider the critical case R-0 = 1 and show that the infection dies out within O (root N) units of time, and moreover that this estimate is sharp.