Rate of Convergence to the Disease Free Equilibrium for Multi-Population SIS Networks in the Critical Case

Ye, MengbinAnderson, Brian D. O.2025-06-112025-06-11WOS:001224416400004ORCID:/0000-0002-1493-4774/work/174739487http://www.scopus.com/inward/record.url?scp=85191335819&partnerID=8YFLogxKhttps://hdl.handle.net/1885/733758108A networked version of the Susceptible-Infected-Susceptible (SIS) deterministic epidemic model is studied. Existing results establish that convergence to an equilibrium occurs exponentially fast, except in the critical case, when the basic reproduction number is equal to 1. This letter uses nonlinear systems and center manifold theory to establish that with such a reproduction number, convergence occurs at a linear rate. Numerical simulations help to illustrate the results.No Statement Available6enPublisher Copyright: © 2017 IEEE.ConvergenceDiseasesEpidemicsMathematical modelsSociologyStatisticsTrajectoryCenter manifold theoryMeta-population modelStability of nonlinear systemSusceptible-infected-susceptiblecenter manifold theorystability of nonlinear systemmeta-population modelsusceptible-infected-susceptibleRate of Convergence to the Disease Free Equilibrium for Multi-Population SIS Networks in the Critical Case2024-04-2410.1109/LCSYS.2024.339295885191335819