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- Title
Passage to the limit in a singularly perturbed partial integro-differential system.
- Authors
Archibasov, A.; Korobeinikov, A.; Sobolev, V.
- Abstract
We study an initial-boundary value problem for a singularly perturbed system of partial integro-differential equations. We prove a theorem on the passage to the limit. The result is used to decrease the dimension of a virus evolution model. We construct an asymptotic solution by the Tikhonov-Vasil'eva boundary function method. The analytic results obtained are compared with a numerical study of the system.
- Subjects
MATHEMATICAL singularities; NUMERICAL solutions to integro-differential equations; EXTERIOR differential systems; NUMERICAL solutions to initial value problems; NUMERICAL analysis
- Publication
Differential Equations, 2016, Vol 52, Issue 9, p1115
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266116090020