Epidemic Models with Immunization and Mutations on a Finite Population
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We propose two variants of a stochastic epidemic model in which the disease is spread by mobile particles performing random walks on the complete graph.
For the first model, we study the effect on the epidemic size of an immunization mechanism that depends on the activity of the disease.
In the second model, the transmission agents can gain lives at random during their existences.
We prove limit theorems for the final outcome of these processes.
The epidemic model with mutations exhibits phase transition, meaning that if the mutation parameter is sufficiently large, then asymptotically all the individuals in the population are infected.
American Psychological Association (APA)
Lebensztayn, Elcio. 2015. Epidemic Models with Immunization and Mutations on a Finite Population. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1067061
Modern Language Association (MLA)
Lebensztayn, Elcio. Epidemic Models with Immunization and Mutations on a Finite Population. Journal of Applied Mathematics No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1067061
American Medical Association (AMA)
Lebensztayn, Elcio. Epidemic Models with Immunization and Mutations on a Finite Population. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1067061
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067061