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 one.

Numerical simulation of a SIS epidemic model based on a nonlinear Volterra integral equation / Messina, Eleonora. - (2014). (Intervento presentato al convegno AIMS Conference on Dynamical Systems, Differential Equations and Applications tenutosi a Madrid, Spain nel July 07 - July 11, 2014).

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

MESSINA, ELEONORA
2014

Abstract

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 one.
2014
Numerical simulation of a SIS epidemic model based on a nonlinear Volterra integral equation / Messina, Eleonora. - (2014). (Intervento presentato al convegno AIMS Conference on Dynamical Systems, Differential Equations and Applications tenutosi a Madrid, Spain nel July 07 - July 11, 2014).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/593247
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