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All Journal Journal of Tropical Life Science : International Journal of Theoretical, Experimental, and Applied Life Sciences The Journal of Experimental Life Sciences (JELS) Jurnal Mahasiswa Matematika Journal of Degraded and Mining Lands Management Journal of Natural A Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri Communication in Biomathematical Sciences
Suryanto, Agus
Biomathematics Research Group, Department Of Mathematics, University Of Brawijaya, Malang 65145
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Computer Science & IT Environmental Science Immunology & microbiology Industrial & Manufacturing Engineering Mathematics Medicine & Pharmacology Neuroscience Social Sciences

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Dynamics of a Fractional Order Eco-Epidemiological Model Kartika Nugraheni; Trisilowati Trisilowati; Agus Suryanto
Journal of Tropical Life Science Vol. 7 No. 3 (2017)
Publisher : Journal of Tropical Life Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11594/jtls.07.03.09

Abstract

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. 
Co-Authors A.S. Adhiwibawa, Marcelinus Abdul Latif Al Fauzi Alghofari, Abdul Rouf Anam, Syaiful Brian Rahardi Darti, Isnani Farah Aini Abdullah Farah Aini Abdullah Hadi Susanto Hasan S. Panigoro Hidayat, Noor Hikmah, Maziyahtul Isnani Darti Isnani Darti Kartika Nugraheni Kestrilia Rega Prilianti Kusumahwinahyu, Wuryansari Muharini Luchman Hakim Musafir, Raqqasyi Rahmatullah Nur Izzati Khairudin Nur Shafika Abel Razali Onggara, Ivan C. Rima Anissa Pratiwi Rio Satriyantara Serafinah Indriyani Tatas H.P. Brotosudarmo Trisilowati, Trisilowati Wibowo, Ratno Bagus Edy Wuryansari Muharini Kusumahwinahyu Yahya Abu Hasan Yahya Abu Hassan