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Control Optim."],"published-print":{"date-parts":[[2024,4,30]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>Some pests and vectors of many vector-borne diseases (like mosquitoes for malaria and dengue) are known to invade any homogeneous and favorable territory, following a traveling wave type dynamic. The density of individuals in the field is commonly modeled as the solution of a bistable reaction-diffusion equation on an unbounded domain. In this work, we are interested in finding an optimal strategy to block such a solution by means of a population elimination action in a prescribed subdomain (modeling, for instance, the effect of a mechanical action or an insecticide applied in a certain region to reduce the number of individuals in the population). We propose a complete description of the solutions of this problem, based on the precise analysis of the optimality conditions and on arguments for comparison between the possible strategies.<\/jats:p>","DOI":"10.1137\/22m1528410","type":"journal-article","created":{"date-parts":[[2024,4,22]],"date-time":"2024-04-22T05:01:50Z","timestamp":1713762110000},"page":"1291-1315","source":"Crossref","is-referenced-by-count":3,"title":["Optimal Control of Bistable Traveling Waves: Looking for the Best Spatial Distribution of a Killing Action to Block a Pest Invasion"],"prefix":"10.1137","volume":"62","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3344-0366","authenticated-orcid":true,"given":"Luis","family":"Almeida","sequence":"first","affiliation":[{"name":"Sorbonne Universit\u00e9, CNRS, Universit\u00e9 de Paris, Inria, Laboratoire J.-L. Lions, 75005 Paris, France."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2087-5165","authenticated-orcid":true,"given":"Alexis","family":"L\u00e9culier","sequence":"additional","affiliation":[{"name":"Sorbonne Universit\u00e9, Laboratoire J.-L. Lions, 75005 Paris, France, and Institut Math\u00e9matiques de Bordeaux, 33405, Talence, France."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-5379-5865","authenticated-orcid":true,"given":"Gr\u00e9goire","family":"Nadin","sequence":"additional","affiliation":[{"name":"Institut Denis Poisson, Universit\u00e9 d\u2019Orl\u00e9ans, Universit\u00e9 de Tours, CNRS, Orl\u00e9ans, France."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yannick","family":"Privat","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Lorraine, CNRS, Institut Elie Cartan de Lorraine, Inria, BP 70239 54506 Vand\u0153uvre-l\u00e8s-Nancy Cedex, France, and Institut Universitaire de France (IUF)."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2024,4,22]]},"reference":[{"key":"ref1","unstructured":"https:\/\/www.who.int\/news-room\/fact-sheets\/detail\/vector-borne-diseases."},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1051\/mmnp\/2022026"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1137\/21M1427243"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s12532-018-0139-4"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-020-00790-3"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(78)90130-5"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/12089884X"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202522500257"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/1-4020-4051-2"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1137\/0301007"},{"key":"ref11","volume-title":"Foundations of Optimal Control Theory","author":"Lee E. B.","year":"1967"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-014-0793-8"},{"key":"ref13","series-title":"Math. Concr.","volume-title":"Contr\u00f4le Optimal: Theorie & Applications","author":"Tr\u00e9lat E.","year":"2005"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-004-0559-y"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-05-00504-7"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/22M1528410","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:22:52Z","timestamp":1787322172000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1528410"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,22]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,4,30]]}},"alternative-id":["10.1137\/22M1528410"],"URL":"https:\/\/doi.org\/10.1137\/22m1528410","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,22]]}}}