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Nonlocal finite difference discretization of a class of renewal equation models for epidemics

Mathematical biosciences and engineering : MBE, 2023-01, Vol.20 (7), p.11656-11675

2023

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Analysis of the Transient Behaviour in the Numerical Solution of Volterra Integral Equations

Axioms, 2021-03, Vol.10 (1), p.23

2021

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Positive Numerical Approximation of Integro-Differential Epidemic Model

Axioms, 2022-02, Vol.11 (2), p.69

2022

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Analysis of Perturbed Volterra Integral Equations on Time Scales

Mathematics (Basel), 2020-07, Vol.8 (7), p.1133

2020

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Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales

Discrete Dynamics in Nature and Society, 2015-01, Vol.2015 (2015), p.118-123-211

2015

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COEXISTENCE FOR MULTIPLE LARGEST REPRODUCTION RATIOS OF A MULTI-STRAIN SIS EPIDEMIC MODEL

Acta mathematica scientia, 2016-09, Vol.36 (5), p.1524-1530

2016

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Asymptotic solutions of non-linear implicit Volterra discrete equations

Journal of computational and applied mathematics, 2023-06, Vol.425, p.115068, Article 115068

2023

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A long-time behavior preserving numerical scheme for age-of-infection epidemic models with heterogeneous mixing

Applied numerical mathematics, 2024-06, Vol.200, p.344-357

2024

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A Positive and Monotone Numerical Scheme for Volterra-Renewal Equations with Space Fluxes

Journal of computational mathematics, 2019-01, Vol.37 (1), p.33-47

Messina, Mario Annunziato and Eleonora

2019

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Numerical analysis of asymptotically convolution evolutionary integral equations

The Journal of integral equations and applications, 2021-03, Vol.33 (1)

2021

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Stability and boundedness of numerical approximations to Volterra integral equations

Applied numerical mathematics, 2017-06, Vol.116, p.230-237

2017

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A sufficient condition for the stability of direct quadrature methods for Volterra integral equations

Numerical algorithms, 2017-04, Vol.74 (4), p.1223-1236

2017

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Time discretization in the solution of parabolic PDEs with ANNs

Applied mathematics and computation, 2023-12, Vol.458, p.128230, Article 128230

2023

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A non-standard numerical scheme for an age-of-infection epidemic model

Journal of computational dynamics, 2022-04, Vol.9 (2), p.239

2022

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Qualitative analysis of dynamic equations on time scales using Lyapunov functions

Differential Equations & Applications, 2022-05 (2), p.215-226

2022

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Effect of perturbation in the numerical solution of fractional differential equations

Discrete and continuous dynamical systems. Series B, 2018-09, Vol.23 (7), p.2679-2694

2018

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Numerical analysis of the dynamics of rigid blocks subjected to support excitation

Applied numerical mathematics, 2020-09, Vol.155, p.29-37

2020

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Stability analysis of linear Volterra equations on time scales under bounded perturbations

Applied mathematics letters, 2016-09, Vol.59, p.6-11

2016

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A hybrid model of collective motion of discrete particles under alignment and continuum chemotaxis

Discrete and continuous dynamical systems. Series B, 2020, Vol.25 (1), p.443-472

2020

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Numerical treatment of a Volterra integral equation with space maps

Applied numerical mathematics, 2010-08, Vol.60 (8), p.809-815

2010

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Impact of vaccine arrival on the optimal control of a newly emerging infectious disease: A theoretical study

Mathematical biosciences and engineering : MBE, 2012-07, Vol.9 (3), p.539-552

2012

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Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates

Applied mathematics and computation, 2012, Vol.218 (9), p.5327-5336

2012

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Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method

Ricerche di matematica, 2015-11, Vol.64 (2), p.345-355

2015

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Long-time behaviour of the approximate solution to quasi-convolution Volterra equations

ESAIM: Mathematical Modelling and Numerical Analysis, 2020-01, Vol.54 (1), p.129-143

2020

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Convergence of solutions for two delays Volterra integral equations in the critical case

Applied mathematics letters, 2010-10, Vol.23 (10), p.1162-1165

2010

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Nonlocal finite difference discretization of a class of renewal equation models for epidemics

Analysis of the Transient Behaviour in the Numerical Solution of Volterra Integral Equations

Positive Numerical Approximation of Integro-Differential Epidemic Model

Analysis of Perturbed Volterra Integral Equations on Time Scales

Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales

COEXISTENCE FOR MULTIPLE LARGEST REPRODUCTION RATIOS OF A MULTI-STRAIN SIS EPIDEMIC MODEL

Asymptotic solutions of non-linear implicit Volterra discrete equations

A long-time behavior preserving numerical scheme for age-of-infection epidemic models with heterogeneous mixing

A Positive and Monotone Numerical Scheme for Volterra-Renewal Equations with Space Fluxes

Numerical analysis of asymptotically convolution evolutionary integral equations

Stability and boundedness of numerical approximations to Volterra integral equations

A sufficient condition for the stability of direct quadrature methods for Volterra integral equations

Time discretization in the solution of parabolic PDEs with ANNs

A non-standard numerical scheme for an age-of-infection epidemic model

Qualitative analysis of dynamic equations on time scales using Lyapunov functions

Effect of perturbation in the numerical solution of fractional differential equations

Numerical analysis of the dynamics of rigid blocks subjected to support excitation

Stability analysis of linear Volterra equations on time scales under bounded perturbations

A hybrid model of collective motion of discrete particles under alignment and continuum chemotaxis

Numerical treatment of a Volterra integral equation with space maps

Impact of vaccine arrival on the optimal control of a newly emerging infectious disease: A theoretical study

Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates

Volterra integral equations on time scales: stability under constant perturbations via Liapunov direct method

Long-time behaviour of the approximate solution to quasi-convolution Volterra equations

Convergence of solutions for two delays Volterra integral equations in the critical case

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