A Consistent Discrete Version of a Nonautonomous SIRVS Model
Joint Authors
Silva, C.
Mateus, Joaquim
Vaz, S.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-24
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
A family of discrete nonautonomous SIRVS models with general incidence is obtained from a continuous family of models by applying Mickens nonstandard discretization method.
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.
American Psychological Association (APA)
Mateus, Joaquim& Silva, C.& Vaz, S.. 2018. A Consistent Discrete Version of a Nonautonomous SIRVS Model. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1152836
Modern Language Association (MLA)
Mateus, Joaquim…[et al.]. A Consistent Discrete Version of a Nonautonomous SIRVS Model. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1152836
American Medical Association (AMA)
Mateus, Joaquim& Silva, C.& Vaz, S.. A Consistent Discrete Version of a Nonautonomous SIRVS Model. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1152836
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152836