Home > Academic Announcements > (Dec. 7) Threshold dynamics of an SIRI epidemic model with infection age and nonlinear incidence

(Dec. 7) Threshold dynamics of an SIRI epidemic model with infection age and nonlinear incidence

Last updated :2017-12-01

Topic: Threshold dynamics of an SIRI epidemic model with infection age and nonlinear incidence
Speaker: Professor Yuming Chen
(Wilfrid Laurier University, Canada)
Time: 16:00-17:00, Thursday, December 7, 2017
Venue: Meeting Room, 1st Floor, No. 6 Building of Seaside Red Buildings, Zhuhai Campus, SYSU

Abstract:
In this talk, we propose and analyze an SIRI epidemic model infection age and a general nonlinear incidence rate. Established is a threshold dynamics determined by the basic reproduction number R0.

Roughly speaking, if R0 < 1 then the disease-free steady state is globally asymptotically stable while if R0 > 1 then the endemic steady state is globally asymptotically stable. The global attractivity for the steady states are obtained by employing the fluctuation lemma and the approach of Lyapunov functionals. Our results imply that decreasing the initial transmission rate and drawing up efficient prevention ways play a much more important role on controlling the disease spread than increasing the total treatment rate. The obtained theoretical results are illustrated with numerical simulations, which also indicate that infection age is an important factor affecting the epidemic spread. This is a joint work with Junyuan Yang and Toshikazu Kuniya.