Differential and Integral Equations
- Differential Integral Equations
- Volume 31, Number 3/4 (2018), 161-172.
Global stability of an SIS epidemic model with a finite infectious period
Assuming a general distribution for the sojourn time in the infectious class, we consider an SIS type epidemic model formulated as a scalar integral equation. We prove that the endemic equilibrium of the model is globally asymptotically stable whenever it exists, solving the conjecture of Hethcote and van den Driessche (1995) for the case of nonfatal diseases.
Differential Integral Equations Volume 31, Number 3/4 (2018), 161-172.
First available in Project Euclid: 19 December 2017
Permanent link to this document
Nakata, Yukihiko; Röst, Gergely. Global stability of an SIS epidemic model with a finite infectious period. Differential Integral Equations 31 (2018), no. 3/4, 161--172. https://projecteuclid.org/euclid.die/1513652421