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dc.contributor.authorZawka, Simon Derkeeen_US
dc.contributor.authorSrinivasu, Pichika D.N.en_US
dc.date.accessioned2024-04-05T16:25:50Z
dc.date.available2024-04-05T16:25:50Z
dc.date.issued2024-04
dc.identifier.citationZawka, Simon D. & Srinivasu, P. D.N. (2024). Optimal management of a prey-predator system in a polluted environment with effort shared between pollution reduction and harvesting. TWMS Journal Of Applied And Engineering Mathematics, 14(2), 816-833.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5970
dc.identifier.urihttps://jaem.isikun.edu.tr/web/index.php/current/124-vol14no2/1216
dc.description.abstractThis paper is concerned with the optimal management of a prey-predator system in a polluted environment with effort allocated between pollution reduction and prey harvesting. The growth rates of species and, consequently, the economic gain from the resources are impacted by the pollutants released from external sources (such as industrial wastes). We assume that both the prey and predator populations have economic value. While revenue due to the prey comes from it’s harvesting, it is from tourism that the revenue due to the predator is realised. The aim is to determine the optimal allocation of the total effort capacity between harvesting and pollution reduction to maximize the revenue. First, we study the qualitative behavior of the dynamical system and its dependence on the control parameter viz., effort, followed by an application of Pontryagin’s maximum principle to solve an optimal harvesting problem. The results indicate that the system has three possible equilibrium solutions whose existence and stability heavily depend on the level of effort allocation made between harvesting and pollution reduction. It underlines that the effort allocation plays vital role in determining the eventual state of the system viz., permanence or extinction of the species. The result also shows that the optimal harvesting policy under pollution reduction efforts (as compared to one under no pollution reduction) calls for employing a lower level of optimal effort, resulting in higher resource stock levels and increased income. On the other hand, when the stock benefit of the predator rises, the optimal harvest effort falls, leading to increased stock levels in both the species.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectPrey-predatoren_US
dc.subjectPollutionen_US
dc.subjectOptimal harvestingen_US
dc.subjectStock benefiten_US
dc.subjectPollution-reductionen_US
dc.titleOptimal management of a prey-predator system in a polluted environment with effort shared between pollution reduction and harvestingen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume14
dc.identifier.issue2
dc.identifier.startpage816
dc.identifier.endpage833
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US


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