Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative Food
In this paper, a fractional-order Hastings-Powell food chain model is discussed. It is assumed that the top-predator population is supported by alternative food. Existence and local stability of equilibrium points of fractional-order system are investigated. Numerical simulations are conducted to il...
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| Format: | Article |
| Language: | English |
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University of Brawijaya
2017-06-01
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| Series: | Journal of Experimental Life Science |
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| Online Access: | https://jels.ub.ac.id/index.php/jels/article/view/216 |
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| author | Moh Nurul Huda Trisilowati Trisilowati Agus Suryanto |
| author_facet | Moh Nurul Huda Trisilowati Trisilowati Agus Suryanto |
| author_sort | Moh Nurul Huda |
| collection | DOAJ |
| description | In this paper, a fractional-order Hastings-Powell food chain model is discussed. It is assumed that the top-predator population is supported by alternative food. Existence and local stability of equilibrium points of fractional-order system are investigated. Numerical simulations are conducted to illustrate analysis results. The analysis results show that alternative food can give a positive impact for top-predator population. |
| format | Article |
| id | doaj-art-8bcd45aaec634782b05edfa8f49e8165 |
| institution | OA Journals |
| issn | 2087-2852 2338-1655 |
| language | English |
| publishDate | 2017-06-01 |
| publisher | University of Brawijaya |
| record_format | Article |
| series | Journal of Experimental Life Science |
| spelling | doaj-art-8bcd45aaec634782b05edfa8f49e81652025-08-20T01:55:21ZengUniversity of BrawijayaJournal of Experimental Life Science2087-28522338-16552017-06-01713944https://doi.org/10.21776/ub.jels.2016.007.01.08Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative FoodMoh Nurul Huda0Trisilowati Trisilowati1Agus Suryanto2Universitas BrawijayaUniversitas BrawijayaUniversitas BrawijayaIn this paper, a fractional-order Hastings-Powell food chain model is discussed. It is assumed that the top-predator population is supported by alternative food. Existence and local stability of equilibrium points of fractional-order system are investigated. Numerical simulations are conducted to illustrate analysis results. The analysis results show that alternative food can give a positive impact for top-predator population.https://jels.ub.ac.id/index.php/jels/article/view/216alternative foodfractional-ordergrunwald-letnikov approximationhasting-powell modelstability |
| spellingShingle | Moh Nurul Huda Trisilowati Trisilowati Agus Suryanto Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative Food Journal of Experimental Life Science alternative food fractional-order grunwald-letnikov approximation hasting-powell model stability |
| title | Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative Food |
| title_full | Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative Food |
| title_fullStr | Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative Food |
| title_full_unstemmed | Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative Food |
| title_short | Dynamical Analysis of Fractional-Order Hastings-Powell Food Chain Model with Alternative Food |
| title_sort | dynamical analysis of fractional order hastings powell food chain model with alternative food |
| topic | alternative food fractional-order grunwald-letnikov approximation hasting-powell model stability |
| url | https://jels.ub.ac.id/index.php/jels/article/view/216 |
| work_keys_str_mv | AT mohnurulhuda dynamicalanalysisoffractionalorderhastingspowellfoodchainmodelwithalternativefood AT trisilowatitrisilowati dynamicalanalysisoffractionalorderhastingspowellfoodchainmodelwithalternativefood AT agussuryanto dynamicalanalysisoffractionalorderhastingspowellfoodchainmodelwithalternativefood |