Dynamical analysis of a predator-prey model arising from palm tree plantation
Palm oil industry has become an issue that has caught the attention of the world community in recent years. From an economic point of view, this industry is very influential in developing and spurring economic growth in rural areas. In this paper, a predator-prey dynamical model representing the int...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Indonesian Bio-Mathematical Society
2019-09-01
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| Series: | Communication in Biomathematical Sciences |
| Subjects: | |
| Online Access: | http://journals.itb.ac.id/index.php/cbms/article/view/12809 |
| _version_ | 1818505211873853440 |
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| author | Yenie Syukriyah Muhammad Fakhruddin Nuning Nuraini Rudy Kusdiantara |
| author_facet | Yenie Syukriyah Muhammad Fakhruddin Nuning Nuraini Rudy Kusdiantara |
| author_sort | Yenie Syukriyah |
| collection | DOAJ |
| description | Palm oil industry has become an issue that has caught the attention of the world community in recent years. From an economic point of view, this industry is very influential in developing and spurring economic growth in rural areas. In this paper, a predator-prey dynamical model representing the interaction between palm leaf, caterpillar and predator is discussed here. The caterpillar life-cycle starts from eggs, larvae, pupas and the adult moths, and only the larvae interact with the predator. With a given threshold level of the leaves for survival and productivity, the critical level of predators is shown. Further, the dynamical analysis is discussed analytically and numerically. Bifurcation diagrams and sensitivity analysis of each compartment were also obtained to see the effect of changing parameters on the dynamics. The results explain that the increase of larvae predators can reduce the number of larvae pests that eat palm oil leaves, but they need to be controlled to maintain the balance of the ecosystem. |
| first_indexed | 2024-12-10T21:47:38Z |
| format | Article |
| id | doaj.art-8b1a3e80a6fb4506a4bab8028c0bbbc5 |
| institution | Directory Open Access Journal |
| issn | 2549-2896 |
| language | English |
| last_indexed | 2024-12-10T21:47:38Z |
| publishDate | 2019-09-01 |
| publisher | Indonesian Bio-Mathematical Society |
| record_format | Article |
| series | Communication in Biomathematical Sciences |
| spelling | doaj.art-8b1a3e80a6fb4506a4bab8028c0bbbc52022-12-22T01:32:19ZengIndonesian Bio-Mathematical SocietyCommunication in Biomathematical Sciences2549-28962019-09-012212713710.5614/cbms.2019.2.2.64317Dynamical analysis of a predator-prey model arising from palm tree plantationYenie Syukriyah0Muhammad Fakhruddin1Nuning Nuraini2Rudy Kusdiantara3Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, BandungFaculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, BandungFaculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, BandungFaculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, BandungPalm oil industry has become an issue that has caught the attention of the world community in recent years. From an economic point of view, this industry is very influential in developing and spurring economic growth in rural areas. In this paper, a predator-prey dynamical model representing the interaction between palm leaf, caterpillar and predator is discussed here. The caterpillar life-cycle starts from eggs, larvae, pupas and the adult moths, and only the larvae interact with the predator. With a given threshold level of the leaves for survival and productivity, the critical level of predators is shown. Further, the dynamical analysis is discussed analytically and numerically. Bifurcation diagrams and sensitivity analysis of each compartment were also obtained to see the effect of changing parameters on the dynamics. The results explain that the increase of larvae predators can reduce the number of larvae pests that eat palm oil leaves, but they need to be controlled to maintain the balance of the ecosystem.http://journals.itb.ac.id/index.php/cbms/article/view/12809predator-prey modelsensitivity analysisbiological controlnumerical simulation |
| spellingShingle | Yenie Syukriyah Muhammad Fakhruddin Nuning Nuraini Rudy Kusdiantara Dynamical analysis of a predator-prey model arising from palm tree plantation Communication in Biomathematical Sciences predator-prey model sensitivity analysis biological control numerical simulation |
| title | Dynamical analysis of a predator-prey model arising from palm tree plantation |
| title_full | Dynamical analysis of a predator-prey model arising from palm tree plantation |
| title_fullStr | Dynamical analysis of a predator-prey model arising from palm tree plantation |
| title_full_unstemmed | Dynamical analysis of a predator-prey model arising from palm tree plantation |
| title_short | Dynamical analysis of a predator-prey model arising from palm tree plantation |
| title_sort | dynamical analysis of a predator prey model arising from palm tree plantation |
| topic | predator-prey model sensitivity analysis biological control numerical simulation |
| url | http://journals.itb.ac.id/index.php/cbms/article/view/12809 |
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