Singular perturbation analysis of a two-site model for an epidemic in age-structured population
作者机构：School of MathematicsStatistics and Computer Science University of KwaZulu-Natal145 King Edward Avenue PietermaritzburgKwaZulu-Natal 3209/ScottsvilleSouth Africa School of Mathematical and Statistical Sciences North-West UniversityMafikeng Campus Unit 5 Corner of Albert Luthuli and University Drive Mmabatho2735South Africa
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2018年第11卷第7期
页 面：83-107页
核心收录：
学科分类：0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）]
基 金：DST-NRF Center of excellence in Mathematical and Statistical Sciences (BA2016/053)
主 题：SIS epidemic model age structured population spatial dynamics multiple time scales slow-fast system dynamical system Tikhonov theorem
摘 要：We formulate a model describing the dynamics for the spatial propagation of an SIS epidemic within a population,with age structure,living in an environment divided into two *** analysis of the model is *** prove the existence of a unique disease free equilibrium (DFE)and its (local and global)***,we assume that fast infection processes and fast migration processes take place in the above-mentioned model;*** processes last only a few days (less than a week).In opposition to such processes,demographic processes such as birth,death and maturation last quite a lot of *** a gap between the time scales gives rise to a multiple time scales model,in particular a singularly perturbed *** a singular perturbation analysis,based on Tikhonov theorem,we prove that for certain classes of initial conditions the nonlinear perturbed model can be approximated with very good accuracy by lower-dimensional linear models.
维普期刊数据库