{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T15:25:59Z","timestamp":1740151559852,"version":"3.37.3"},"reference-count":14,"publisher":"EDP Sciences","license":[{"start":{"date-parts":[[2022,8,18]],"date-time":"2022-08-18T00:00:00Z","timestamp":1660780800000},"content-version":"vor","delay-in-days":229,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UIDB\/00212\/2020"],"award-info":[{"award-number":["UIDB\/00212\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UIDB\/50008\/2020"],"award-info":[{"award-number":["UIDB\/50008\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UIDB\/00212\/2020"],"award-info":[{"award-number":["UIDB\/00212\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Model. Nat. Phenom."],"accepted":{"date-parts":[[2022,7,19]]},"published-print":{"date-parts":[[2022]]},"abstract":"<jats:p>An ecological system comprehended by a pest and its natural enemy, the predator, is considered. Parameters of system are time dependent in order to accompany their variations associated to climate evolutions. Combining the use of pesticides and of extra supply of food to predators, we propose the eradication of pest through optimal control having those two measures as controls. Is established that the resulting problem has a unique solution. Uniqueness is obtained on the whole interval using a recursive argument. The usefulness of model to tackle the pest population is backed by numerical simulation results.<\/jats:p>","DOI":"10.1051\/mmnp\/2022033","type":"journal-article","created":{"date-parts":[[2022,7,25]],"date-time":"2022-07-25T18:51:47Z","timestamp":1658775107000},"page":"28","source":"Crossref","is-referenced-by-count":1,"title":["Modelling optimal pest control of non-autonomous predator\u2013prey interaction"],"prefix":"10.1051","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7194-4004","authenticated-orcid":false,"given":"Paulo","family":"Rebelo","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5153-4879","authenticated-orcid":false,"given":"Silv\u00e9rio","family":"Rosa","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6189-8836","authenticated-orcid":false,"given":"C\u00e9sar M.","family":"Silva","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2022,8,18]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"1125","DOI":"10.2307\/2265581","volume":"77","author":"Abrams","year":"1996","journal-title":"Ecology"},{"key":"R2","doi-asserted-by":"crossref","unstructured":"Berkovitz L.D. and Medhin N.G., Nonlinear optimal control theory. CRC Press, Boca Raton, FL (2013).","DOI":"10.1201\/b12739"},{"key":"R3","doi-asserted-by":"crossref","unstructured":"Fleming W.H. and Rishel R.W., Vol. 1 of Deterministic and stochastic optimal control. Springer Science & Business Media (1975).","DOI":"10.1007\/978-1-4612-6380-7_1"},{"key":"R4","doi-asserted-by":"crossref","first-page":"469","DOI":"10.3934\/mbe.2009.6.469","volume":"6","author":"Gaff","year":"2009","journal-title":"Mathe. Biosci. Eng."},{"key":"R5","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1016\/j.nonrwa.2008.10.060","volume":"11","author":"Georgescu","year":"2010","journal-title":"Nonlinear Anal."},{"key":"R6","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1007\/s11071-013-0996-3","volume":"74","author":"Jana","year":"2013","journal-title":"Nonlinear Dyn."},{"key":"R7","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1002\/oca.710","volume":"23","author":"Joshi","year":"2002","journal-title":"Opt. Control Appl. Methods"},{"key":"R8","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/j.jtbi.2012.06.032","volume":"310","author":"Kar","year":"2012","journal-title":"J. Theor. Biol."},{"key":"R9","first-page":"187","volume":"11","author":"Mateus","year":"2018","journal-title":"Discr. Continu. Dyn. Syst."},{"key":"R10","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1007\/s11071-012-0737-z","volume":"72","author":"Pahari","year":"2013","journal-title":"Nonlinear Dyn."},{"key":"R11","unstructured":"Pontryagin L.S., Mathematical theory of optimal processes. CRC Press (1987)."},{"key":"R12","first-page":"42","volume":"330","author":"Rosa","year":"2018","journal-title":"Appl. Math. Comput."},{"key":"R13","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1051\/mmnp\/201611104","volume":"11","author":"Venturino","year":"2016","journal-title":"Math. Model. Natural Phenom."},{"key":"R14","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1016\/j.camwa.2007.12.015","volume":"56","author":"Wang","year":"2008","journal-title":"Comput. Math. Appl."}],"container-title":["Mathematical Modelling of Natural Phenomena"],"original-title":[],"link":[{"URL":"https:\/\/www.mmnp-journal.org\/10.1051\/mmnp\/2022033\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,18]],"date-time":"2022-08-18T07:56:01Z","timestamp":1660809361000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mmnp-journal.org\/10.1051\/mmnp\/2022033"}},"subtitle":[],"editor":[{"given":"Malay","family":"Banerjee","sequence":"first","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2022]]},"references-count":14,"alternative-id":["mmnp220083"],"URL":"https:\/\/doi.org\/10.1051\/mmnp\/2022033","relation":{},"ISSN":["0973-5348","1760-6101"],"issn-type":[{"type":"print","value":"0973-5348"},{"type":"electronic","value":"1760-6101"}],"subject":[],"published":{"date-parts":[[2022]]}}}