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

Eleonora Messina | Zendy

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

Author(s) -

Eleonora Messina

Publication year - 2015

Language(s) - English

Resource type - Conference proceedings

DOI - 10.3934/proc.2015.0826

Subject(s) - volterra integral equation , integral equation , bifurcation , quadrature (astronomy) , mathematics , numerical analysis , nonlinear system , epidemic model , nyström method , volterra equations , numerical integration , computer simulation , gaussian quadrature , mathematical analysis , physics , population , demography , quantum mechanics , sociology , statistics , optics

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

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