Controlling the spread of a class of epidemics
Identifieur interne : 00E062 ( Main/Exploration ); précédent : 00E061; suivant : 00E063Controlling the spread of a class of epidemics
Auteurs : Viorel Arn Utu [Roumanie] ; Viorel Barbu [Roumanie] ; Vincenzo Capasso [Italie]Source :
- Applied Mathematics and Optimization [ 0095-4616 ] ; 1989-07-01.
English descriptors
- Teeft :
- Algorithm, Asymptotic behavior, Barbu, Boundary feedback, Capasso, Characteristic function, Control parameter, Control problem, Descent method, Differential equation, Differential equations, Epidemic, Epidemic system, Epidemic systems, First equation, Gradient method, Human population, Infectious agent, Initial conditions, Mathematical model, Maximum principle, Numerical simulation, Numerical values, Optimal control, Optimal control problem, Positive feedback, Second equation, Special case, State system, Threshold parameter, Time levels, Unique solution.
Abstract
Abstract: An optimal control problem is studied in connection with a class of man-environment epidemic systems, in which the epidemic is sustained by a positive feedback at the boundary of the habitat. The epidemic system is modeled by a parabolic equation and an ordinary differential equation coupled at the boundary via an integral type positive feedback. Existence results are given for the optimal control problem. Necessary conditions for optimality are established and, using them, gradient-type algorithms are proposed in order to obtain numerical solutions.
Url:
DOI: 10.1007/BF01447658
Affiliations:
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I. Cuza” Iaşi, 6600, Iasi</wicri:regionArea><wicri:noRegion>Iasi</wicri:noRegion></affiliation></author><author><name sortKey="Barbu, Viorel" sort="Barbu, Viorel" uniqKey="Barbu V" first="Viorel" last="Barbu">Viorel Barbu</name><affiliation wicri:level="1"><country xml:lang="fr">Roumanie</country><wicri:regionArea>Faculty of Mathematics, University “Al. I. Cuza” Iaşi, 6600, Iasi</wicri:regionArea><wicri:noRegion>Iasi</wicri:noRegion></affiliation></author><author><name sortKey="Capasso, Vincenzo" sort="Capasso, Vincenzo" uniqKey="Capasso V" first="Vincenzo" last="Capasso">Vincenzo Capasso</name><affiliation wicri:level="1"><country xml:lang="fr">Italie</country><wicri:regionArea>Dipartimento di Matematica, Università di Bari, Campus, 70125, Bari</wicri:regionArea><wicri:noRegion>Bari</wicri:noRegion></affiliation></author></analytic><monogr></monogr><series><title level="j">Applied Mathematics and Optimization</title><title level="j" type="sub">An International Journal with Applications to Stochastics</title><title level="j" type="abbrev">Appl Math Optim</title><idno type="ISSN">0095-4616</idno><idno type="eISSN">1432-0606</idno><imprint><publisher>Springer-Verlag</publisher><pubPlace>New York</pubPlace><date type="published" when="1989-07-01">1989-07-01</date><biblScope unit="volume">20</biblScope><biblScope unit="issue">1</biblScope><biblScope unit="page" from="297">297</biblScope><biblScope unit="page" to="317">317</biblScope></imprint><idno type="ISSN">0095-4616</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0095-4616</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Algorithm</term><term>Asymptotic behavior</term><term>Barbu</term><term>Boundary feedback</term><term>Capasso</term><term>Characteristic function</term><term>Control parameter</term><term>Control problem</term><term>Descent method</term><term>Differential equation</term><term>Differential equations</term><term>Epidemic</term><term>Epidemic system</term><term>Epidemic systems</term><term>First equation</term><term>Gradient method</term><term>Human population</term><term>Infectious agent</term><term>Initial conditions</term><term>Mathematical model</term><term>Maximum principle</term><term>Numerical simulation</term><term>Numerical values</term><term>Optimal control</term><term>Optimal control problem</term><term>Positive feedback</term><term>Second equation</term><term>Special case</term><term>State system</term><term>Threshold parameter</term><term>Time levels</term><term>Unique solution</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: An optimal control problem is studied in connection with a class of man-environment epidemic systems, in which the epidemic is sustained by a positive feedback at the boundary of the habitat. The epidemic system is modeled by a parabolic equation and an ordinary differential equation coupled at the boundary via an integral type positive feedback. Existence results are given for the optimal control problem. Necessary conditions for optimality are established and, using them, gradient-type algorithms are proposed in order to obtain numerical solutions.</div></front></TEI><affiliations><list><country><li>Italie</li><li>Roumanie</li></country></list><tree><country name="Roumanie"><noRegion><name sortKey="Arn Utu, Viorel" sort="Arn Utu, Viorel" uniqKey="Arn Utu V" first="Viorel" last="Arn Utu">Viorel Arn Utu</name></noRegion><name sortKey="Barbu, Viorel" sort="Barbu, Viorel" uniqKey="Barbu V" first="Viorel" last="Barbu">Viorel Barbu</name></country><country name="Italie"><noRegion><name sortKey="Capasso, Vincenzo" sort="Capasso, Vincenzo" uniqKey="Capasso V" first="Vincenzo" last="Capasso">Vincenzo Capasso</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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