Dynamically Consistent Non-Standard Finite Difference Schemes for the MSEIR Epidemiological Model

DOI10.1063/1.3241286zbMath1183.37146OpenAlexW1621606202MaRDI QIDQ5851633

Meir Shillor, Roumen Anguelov, Jean M.-S. Lubuma, Yves Dumont

Publication date: 22 January 2010

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3241286

zbMATH Keywords

dynamical systemsasymptotic stabilitypositivitynon-standard finite difference methodconservation of population

Mathematics Subject Classification ID

Epidemiology (92D30) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in biology (37N25) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical problems in dynamical systems (65P99)

Related Items (4)

Stability Analysis and Dynamics Preserving Nonstandard Finite Difference Schemes for a Malaria Model ⋮ Higher-order nonstandard finite difference schemes for a MSEIR model for a malware propagation ⋮ Mathematical studies on the sterile insect technique for the Chikungunya disease and Aedes albopictus ⋮ Dynamically consistent nonstandard finite difference schemes for epidemiological models

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