演講者：李俊憲 教授 (高雄師範大學數學系)

標題：Bifurcation analysis of network-based epidemic models with saturated treatment function

時間：11月12日下午2點

地點：校本部第二綜合大樓8樓 B808 教室

摘要：In this talk, we present a study on two network-based epidemic models with a saturated treatment function to characterize the saturation phenomenon of limited medical resources. We find that by incorporating the saturated treatment function into our models, some interesting phase transition, which does not appear in the epidemic model with a linear treatment function, is observed. More precisely, our models display a complex bifurcation behavior at transition and the bifurcation can be forward or backward, whereas there is only a simple phase transition from disease-free equilibrium to endemic equilibrium in epidemic models with linear treatment function. Numerical simulations are conducted to illustrate our findings.