Analysis of optimal harvesting of a prey-predator fishery model with the limited sources of prey and presence of toxicity
A model of prey and predator species is discussed to study the effects of the limited prey density and presence of toxicity. The model is studied for sustainable optimal harvesting. The existence of equilibrium points is analyzed to find the stability of coexistence equilibrium, and use Pontryagin’s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://doi.org/10.1051/e3sconf/20187306018 |
| _version_ | 1818663937935147008 |
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| author | Sutimin Siti Khabibah Dita Anies Munawwaroh |
| author_facet | Sutimin Siti Khabibah Dita Anies Munawwaroh |
| author_sort | Sutimin |
| collection | DOAJ |
| description | A model of prey and predator species is discussed to study the effects of the limited prey density and presence of toxicity. The model is studied for sustainable optimal harvesting. The existence of equilibrium points is analyzed to find the stability of coexistence equilibrium, and use Pontryagin’s maximal method to obtain the sustainable optimal harvesting. The results show that the optimal harvesting is obtained from the solution of optimal equilibrium. The toxicity factor decreases the sustainable harvesting. |
| first_indexed | 2024-12-17T05:24:47Z |
| format | Article |
| id | doaj.art-bf3ad0d93f984715b7d120c4efd68a08 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-17T05:24:47Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-bf3ad0d93f984715b7d120c4efd68a082022-12-21T22:01:54ZengEDP SciencesE3S Web of Conferences2267-12422018-01-01730601810.1051/e3sconf/20187306018e3sconf_icenis18_06018Analysis of optimal harvesting of a prey-predator fishery model with the limited sources of prey and presence of toxicitySutimin0Siti Khabibah1Dita Anies Munawwaroh2Department of Mathematics, Faculty of Sciences and Mathematics, Diponegoro UniversityDepartment of Mathematics, Faculty of Sciences and Mathematics, Diponegoro UniversityDepartment of Mathematics, Faculty of Sciences and Mathematics, Diponegoro UniversityA model of prey and predator species is discussed to study the effects of the limited prey density and presence of toxicity. The model is studied for sustainable optimal harvesting. The existence of equilibrium points is analyzed to find the stability of coexistence equilibrium, and use Pontryagin’s maximal method to obtain the sustainable optimal harvesting. The results show that the optimal harvesting is obtained from the solution of optimal equilibrium. The toxicity factor decreases the sustainable harvesting.https://doi.org/10.1051/e3sconf/20187306018Prey-predatorharvestingstabilityequilibrium |
| spellingShingle | Sutimin Siti Khabibah Dita Anies Munawwaroh Analysis of optimal harvesting of a prey-predator fishery model with the limited sources of prey and presence of toxicity E3S Web of Conferences Prey-predator harvesting stability equilibrium |
| title | Analysis of optimal harvesting of a prey-predator fishery model with the limited sources of prey and presence of toxicity |
| title_full | Analysis of optimal harvesting of a prey-predator fishery model with the limited sources of prey and presence of toxicity |
| title_fullStr | Analysis of optimal harvesting of a prey-predator fishery model with the limited sources of prey and presence of toxicity |
| title_full_unstemmed | Analysis of optimal harvesting of a prey-predator fishery model with the limited sources of prey and presence of toxicity |
| title_short | Analysis of optimal harvesting of a prey-predator fishery model with the limited sources of prey and presence of toxicity |
| title_sort | analysis of optimal harvesting of a prey predator fishery model with the limited sources of prey and presence of toxicity |
| topic | Prey-predator harvesting stability equilibrium |
| url | https://doi.org/10.1051/e3sconf/20187306018 |
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