# American Institute of Mathematical Sciences

2015, 2015(special): 826-834. doi: 10.3934/proc.2015.0826

## Numerical simulation of a SIS epidemic model based on a nonlinear Volterra integral equation

 1 Department of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126 Naples

Received  September 2014 Revised  July 2015 Published  November 2015

We consider a SIS epidemic model based on a Volterra integral equation and we compare the dynamical behavior of the analytical solution and its numerical approximation obtained by direct quadrature methods. We prove that, under suitable assumptions, the numerical scheme preserves the qualitative properties of the continuous equation and we show that, as the stepsize tends to zero, the numerical bifurcation points tend to the continuous ones.
Citation: Eleonora Messina. Numerical simulation of a SIS epidemic model based on a nonlinear Volterra integral equation. Conference Publications, 2015, 2015 (special) : 826-834. doi: 10.3934/proc.2015.0826
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