||In this talk, we propose an infection age-structured multi-strain SIS epidemic model on complex networks. We obtain the reproduction number for each strain by using the classical theory of renewal equations, and we define the basic reproduction number R_0 for the whole system by the maximum of them. We prove that if $R_0<1$ then the disease-free equilibrium of the model is globally asymptotically stable, whereas if $R_0>1$, there exists an endemic equilibrium in which only one strain with the largest reproduction number survives. Moreover, under an additional assumption that the recovery rate is homogeneous, we prove that such an endemic equilibrium is globally asymptotically stable. Interestingly, our theoretical results imply that the competitive exclusion can occur in a sense that only one strain with the largest reproduction number survives.
||杨俊元，山西大学副教授，博士，硕士生导师。在《Nonlinear Analysis:Real World Applications》、《Journal of Mathematical Analysis and Applications》、《Journal of Biological Dynamics》、《Journal of Biological Systems》、《Mathematical Biosciences》等国内外重要学术期刊发表学术论文60余篇，被SCI收录20余篇，其中2区以上期刊发表论文5篇，总引用100多次。