Backward bifurcation of a network-based SIS epidemic model with saturated treatment function

Chun-Hsien Li

Department of Mathematics

National Kaohsiung Normal University

chli@nknu.edu.tw

    In this talk, we present a study on a network-based SIS epidemic model with a saturated treatment function to characterize the saturation phenomenon of limited medical resources. In this model, we first obtain a threshold value `R_0`, which is the threshold condition for the stability of the disease-free equilibrium. We show that a backward bifurcation occurs under certain conditions. More precisely, the saturated treatment function leads to a such bifurcation. In this case, `R_0<1` is not sufficient to eradicate the disease from the population. Numerical simulations are conducted to validate the theoretical results. This is a joint work with Yi-Jie Huang.

Keyword: complex networks, epidemic model, saturated treatment function, backward bifurcation