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An Existence Theorem for a Nonlocal Global Pandemic Model for Insect-Borne Diseases
Joint Authors
Cannon, John R.
Galiffa, Daniel J.
Source
International Journal of Differential Equations
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We construct and analyze a nonlocal global pandemic model that comprises a system of two nonlocal integrodifferential equations (functional differential equations) and an ordinary differential equation.
This model was constructed by considering a spherical coordinate transformation of a previously established epidemiology model that can be applied to insect-borne diseases, like yellow fever.
This transformation amounts to a nonlocal boundary value problem on the unit sphere and therefore can be interpreted as a global pandemic model for insect-borne diseases.
We ultimately show that a weak solution to the weak formulation of this model exists using a fixed point argument, which calls upon the construction of a weak formulation and the existence and uniqueness of an auxiliary problem.
American Psychological Association (APA)
Cannon, John R.& Galiffa, Daniel J.. 2014. An Existence Theorem for a Nonlocal Global Pandemic Model for Insect-Borne Diseases. International Journal of Differential Equations،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-453008
Modern Language Association (MLA)
Cannon, John R.& Galiffa, Daniel J.. An Existence Theorem for a Nonlocal Global Pandemic Model for Insect-Borne Diseases. International Journal of Differential Equations No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-453008
American Medical Association (AMA)
Cannon, John R.& Galiffa, Daniel J.. An Existence Theorem for a Nonlocal Global Pandemic Model for Insect-Borne Diseases. International Journal of Differential Equations. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-453008
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453008