Author(s): Mateus, Joaquim ; Silva, César ; Vaz, Sandra
Date: 2018
Persistent ID: http://hdl.handle.net/10314/4076
Origin: Repositório Científico da Universidade Politécnica da Guarda
Subject(s): Epidemic model; Non-autonomous; Global stability; numerical method
A family of discrete nonautonomous SIRVS models with general incidence is obtained from a continuous family of models by applyingMickens nonstandard discretizationmethod. Conditions for the permanence and extinction of the disease and the stability of disease-free solutions are determined. Concerning extinction and persistence, the consistency of those discrete models with the corresponding continuous model is discussed: if the time step is sufficiently small, when we have extinction (permanence) for the continuous model, we also have extinction (permanence) for the corresponding discrete model. Some numerical simulations are carried out to compare the different possible discretizations of our continuous model using real data.
- Unidade de Investigaçãoo para o Desenvolvimento do Interior (UDI), Instituto Politécnico da Guarda, 6300-559 Guarda, Portugal - Centro de Matemática e Aplicações e Departamento de Matemática, Universidade da Beira Interior, 6201-001 Covilhã, Portugal
