Dynamics of a Fractional Order Eco-Epidemiological Model
In this paper, we propose a fractional order eco-epidemiological model. We considere the existence of time memory in the growth rate of the three populations. We observed the dynamical behaviour by analysing with fractional order and then simulateing using Grünwald-Letnikov approximation to support...
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| Format: | Article |
| Language: | English |
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University of Brawijaya
2017-09-01
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| Series: | Journal of Tropical Life Science |
| Subjects: | |
| Online Access: | http://jtrolis.ub.ac.id/index.php/jtrolis/article/view/783 |
| _version_ | 1797669165994082304 |
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| author | Kartika Nugraheni Trisilowati Trisilowati Agus Suryanto |
| author_facet | Kartika Nugraheni Trisilowati Trisilowati Agus Suryanto |
| author_sort | Kartika Nugraheni |
| collection | DOAJ |
| description | In this paper, we propose a fractional order eco-epidemiological model. We considere the existence of time memory in the growth rate of the three populations. We observed the dynamical behaviour by analysing with fractional order and then simulateing using Grünwald-Letnikov approximation to support analytical results. It found that the model has five equilibrium points, namely the origin, the survival of susceptible prey, the predator free equilibria, the infected prey free equilibria, the interior equilibria. Numerical simulations show that the existence of fractional order is a factor which affects the behaviour of solutions. |
| first_indexed | 2024-03-11T20:40:11Z |
| format | Article |
| id | doaj.art-4821b509a9fd407fa91710becb3f5ffe |
| institution | Directory Open Access Journal |
| issn | 2087-5517 2527-4376 |
| language | English |
| last_indexed | 2024-03-11T20:40:11Z |
| publishDate | 2017-09-01 |
| publisher | University of Brawijaya |
| record_format | Article |
| series | Journal of Tropical Life Science |
| spelling | doaj.art-4821b509a9fd407fa91710becb3f5ffe2023-10-02T02:49:40ZengUniversity of BrawijayaJournal of Tropical Life Science2087-55172527-43762017-09-017324325010.11594/jtls.07.03.09230Dynamics of a Fractional Order Eco-Epidemiological ModelKartika Nugraheni0Trisilowati Trisilowati1Agus Suryanto2Department of Mathematics, Brawijaya UniversityDepartment of Mathematics, Brawijaya UniversityDepartment of Mathematics, Brawijaya UniversityIn this paper, we propose a fractional order eco-epidemiological model. We considere the existence of time memory in the growth rate of the three populations. We observed the dynamical behaviour by analysing with fractional order and then simulateing using Grünwald-Letnikov approximation to support analytical results. It found that the model has five equilibrium points, namely the origin, the survival of susceptible prey, the predator free equilibria, the infected prey free equilibria, the interior equilibria. Numerical simulations show that the existence of fractional order is a factor which affects the behaviour of solutions.http://jtrolis.ub.ac.id/index.php/jtrolis/article/view/783Fractional order, eco-epidemiological model, Grünwald-Letnikov, behaviour solutions |
| spellingShingle | Kartika Nugraheni Trisilowati Trisilowati Agus Suryanto Dynamics of a Fractional Order Eco-Epidemiological Model Journal of Tropical Life Science Fractional order, eco-epidemiological model, Grünwald-Letnikov, behaviour solutions |
| title | Dynamics of a Fractional Order Eco-Epidemiological Model |
| title_full | Dynamics of a Fractional Order Eco-Epidemiological Model |
| title_fullStr | Dynamics of a Fractional Order Eco-Epidemiological Model |
| title_full_unstemmed | Dynamics of a Fractional Order Eco-Epidemiological Model |
| title_short | Dynamics of a Fractional Order Eco-Epidemiological Model |
| title_sort | dynamics of a fractional order eco epidemiological model |
| topic | Fractional order, eco-epidemiological model, Grünwald-Letnikov, behaviour solutions |
| url | http://jtrolis.ub.ac.id/index.php/jtrolis/article/view/783 |
| work_keys_str_mv | AT kartikanugraheni dynamicsofafractionalorderecoepidemiologicalmodel AT trisilowatitrisilowati dynamicsofafractionalorderecoepidemiologicalmodel AT agussuryanto dynamicsofafractionalorderecoepidemiologicalmodel |