Effect of discretization on dynamical behavior in an epidemiological model

DOI10.1007/s12591-014-0221-yzbMath1328.92076OpenAlexW1971441110MaRDI QIDQ745987

Khalid Hattaf, Noura Yousfi, Brahim El Boukari, Abid Ali Lashari

Publication date: 15 October 2015

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-014-0221-y

zbMATH Keywords

stabilityLyapunov functionaldiscrete epidemic modelforward and backward Euler methods

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (7)

On the nonstandard numerical discretization of SIR epidemic model with a saturated incidence rate and vaccination ⋮ Multiple bifurcations and dynamics of a discrete time predator-prey system with group defense and non-monotonic functional response ⋮ Global dynamics for discrete-time analog of viral infection model with nonlinear incidence and CTL immune response ⋮ A consistent discrete version of a nonautonomous SIRVS model ⋮ Spatiotemporal dynamics of a generalized HBV infection model with capsids and adaptive immunity ⋮ A numerical method for delayed partial differential equations describing infectious diseases ⋮ Study of a discretized fractional-order eco-epidemiological model with prey infection

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