Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On some epidemic models

Author: Gustaf Gripenberg
Journal: Quart. Appl. Math. 39 (1981), 317-327
MSC: Primary 92A15; Secondary 45M05
DOI: https://doi.org/10.1090/qam/636238
MathSciNet review: 636238
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Abstract: The qualitative behavior of the solution $ x$ of the equation

$\displaystyle x\left( t \right) = k\left( {p\left( t \right) - \smallint _0^tA\... ...right)\left( {f\left( t \right) + \smallint _0^ta(t - s)x(s)ds} \right),t \ge 0$

is studied. This equation arises in the study of the spread of an infectious disease that does not induce permanent immunity.

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DOI: https://doi.org/10.1090/qam/636238
Article copyright: © Copyright 1981 American Mathematical Society

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