Title

An Existence Theorem For A Nonlocal Global Pandemic Model For Insect-Borne Diseases

Abstract

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.

Publication Date

1-1-2014

Publication Title

International Journal of Differential Equations

Volume

2014

Number of Pages

-

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1155/2014/187685

Socpus ID

84935028393 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84935028393

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