Kinetics of Infection-Driven Growth Model with Birth and Death

作     者：YANG Shun-You ZHU Sheng-Qing KE Jian-Hong LIN Zhen-Quan 

作者机构：School of Physics and Electronic Information Wenzhou University Wenzhou 325035 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2008年第50卷第9期

页      面：787-792页

核心收录：

学科分类：1004[医学-公共卫生与预防医学(可授医学、理学学位)] 100401[医学-流行病与卫生统计学] 0704[理学-天文学] 0702[理学-物理学] 10[医学] 

基　　金：National Natural Science Foundation of China under Grant Nos.10775104 and 10305009 

主　　题：kinetic behavior infection birth/death scaling law 

摘      要：We propose a two-species infection model, in which an infected aggregate can gain one monomer from a healthy one due to infection when they meet together. Moreover, both the healthy and infected aggregates may lose one monomer because of self-death, but a healthy aggregate can spontaneously yield a new monomer. Consider a simple system in which the birth/death rates are directly proportional to the aggregate size, namely, the birth and death rates of the healthy aggregate of size k are J1 k and J2k while the self-death rate of the infected aggregate of size k is J3k. We then investigate the kinetics of such a system by means of rate equation approach. For the J1 〉 J2 case, the aggregate size distribution of either species approaches the generalized scaling form and the typical size of either species increases wavily at large times. For the J1 = J2 case, the size distribution of healthy aggregates approaches the generalized scaling form while that of infected aggregates satisfies the modified scaling form. For the J1 〈 J2 case, the size distribution of healthy aggregates satisfies the modified scaling form, but that of infected aggregates does not scale.