TY - JOUR A2 - Perera, Kanishka AU - Cannon, John R. AU - Galiffa, Daniel J. PY - 2014 DA - 2014/07/24 TI - An Existence Theorem for a Nonlocal Global Pandemic Model for Insect-Borne Diseases SP - 187685 VL - 2014 AB - We construct and analyze a nonlocal global pandemic model that comprises a system of two nonlocal integrodifferential equations (functional differential equations) andan 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-bornediseases, 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 existenceand uniqueness of an auxiliary problem. SN - 1687-9643 UR - https://doi.org/10.1155/2014/187685 DO - 10.1155/2014/187685 JF - International Journal of Differential Equations PB - Hindawi Publishing Corporation KW - ER -