A Fractional SEIR Epidemic Model for Spatial and Temporal Spread of Measles in Metapopulations
Joint Authors
Mugisha, Stella
Oukouomi Noutchie, Suares Clovis
Doungmo Goufo, Emile Franc
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-22
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Measles is a higher contagious disease that can spread in a community population depending on the number of people (children) susceptible or infected and also depending on their movement in the community.
In this paper we present a fractional SEIR metapopulation system modeling the spread of measles.
We restrict ourselves to the dynamics between four distinct cities (patches).
We prove that the fractional metapopulation model is well posed (nonnegative solutions) and we provide the condition for the stability of the disease-free equilibrium.
Numerical simulations show that infection will be proportional to the size of population in each city, but the disease will die out.
This is an expected result since it is well known for measles (Bartlett (1957)) that, in communities which generate insufficient new hosts, the disease will die out.
American Psychological Association (APA)
Doungmo Goufo, Emile Franc& Oukouomi Noutchie, Suares Clovis& Mugisha, Stella. 2014. A Fractional SEIR Epidemic Model for Spatial and Temporal Spread of Measles in Metapopulations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1014758
Modern Language Association (MLA)
Doungmo Goufo, Emile Franc…[et al.]. A Fractional SEIR Epidemic Model for Spatial and Temporal Spread of Measles in Metapopulations. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1014758
American Medical Association (AMA)
Doungmo Goufo, Emile Franc& Oukouomi Noutchie, Suares Clovis& Mugisha, Stella. A Fractional SEIR Epidemic Model for Spatial and Temporal Spread of Measles in Metapopulations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1014758
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014758