Dynamics of a Prey-Predator System with Harvesting Effect on Prey
This article is about the dynamic behavior of a prey-predator model exposed to the harvesting effect on prey. Firstly, the existence and stability of the fixed points of the model are obtained, and then the presence and direction of Neimark-Sacker bifurcation is examined. By using the bifurcation th...
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| Format: | Article |
| Language: | English |
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Akif AKGUL
2022-11-01
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| Series: | Chaos Theory and Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/2683439 |
| _version_ | 1827341578955390976 |
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| author | Özlem Ak Gümüş |
| author_facet | Özlem Ak Gümüş |
| author_sort | Özlem Ak Gümüş |
| collection | DOAJ |
| description | This article is about the dynamic behavior of a prey-predator model exposed to the harvesting effect on prey. Firstly, the existence and stability of the fixed points of the model are obtained, and then the presence and direction of Neimark-Sacker bifurcation is examined. By using the bifurcation theory, we show that the system undergoes Neimark-Sacker bifurcation. The hybrid control strategy is applied to control the chaos caused by the Neimark-Sacker bifurcation. In addition, some numerical simulations are given to verify the theoretical results obtained. |
| first_indexed | 2024-03-07T21:45:05Z |
| format | Article |
| id | doaj.art-0ff4f927d2d14abfa597b12acd03fa4d |
| institution | Directory Open Access Journal |
| issn | 2687-4539 |
| language | English |
| last_indexed | 2024-03-07T21:45:05Z |
| publishDate | 2022-11-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj.art-0ff4f927d2d14abfa597b12acd03fa4d2024-02-25T19:10:00ZengAkif AKGULChaos Theory and Applications2687-45392022-11-014314415110.51537/chaos.11831131971Dynamics of a Prey-Predator System with Harvesting Effect on PreyÖzlem Ak Gümüş0ADIYAMAN ÜNİVERSİTESİThis article is about the dynamic behavior of a prey-predator model exposed to the harvesting effect on prey. Firstly, the existence and stability of the fixed points of the model are obtained, and then the presence and direction of Neimark-Sacker bifurcation is examined. By using the bifurcation theory, we show that the system undergoes Neimark-Sacker bifurcation. The hybrid control strategy is applied to control the chaos caused by the Neimark-Sacker bifurcation. In addition, some numerical simulations are given to verify the theoretical results obtained.https://dergipark.org.tr/en/download/article-file/2683439prey-predator modelfixed pointstabilityharvestingbifurcationchaos control |
| spellingShingle | Özlem Ak Gümüş Dynamics of a Prey-Predator System with Harvesting Effect on Prey Chaos Theory and Applications prey-predator model fixed point stability harvesting bifurcation chaos control |
| title | Dynamics of a Prey-Predator System with Harvesting Effect on Prey |
| title_full | Dynamics of a Prey-Predator System with Harvesting Effect on Prey |
| title_fullStr | Dynamics of a Prey-Predator System with Harvesting Effect on Prey |
| title_full_unstemmed | Dynamics of a Prey-Predator System with Harvesting Effect on Prey |
| title_short | Dynamics of a Prey-Predator System with Harvesting Effect on Prey |
| title_sort | dynamics of a prey predator system with harvesting effect on prey |
| topic | prey-predator model fixed point stability harvesting bifurcation chaos control |
| url | https://dergipark.org.tr/en/download/article-file/2683439 |
| work_keys_str_mv | AT ozlemakgumus dynamicsofapreypredatorsystemwithharvestingeffectonprey |