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All Journal Journal of Tropical Life Science : International Journal of Theoretical, Experimental, and Applied Life Sciences JURNAL GIZI INDONESIA Jurnal Ilmu Dasar Epsilon: Jurnal Matematika Murni dan Terapan Jurnal Keolahragaan Jurnal Teknologi Elektro AcTion: Aceh Nutrition Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan Biosaintifika: Journal of Biology & Biology Education Specta Journal of Technology Journal of Fundamental Mathematics and Applications (JFMA) PIKAT Prosiding Seminar Nasional Unimus Unnes Journal of Public Health Jurnal Info Kesehatan
Kartika Nugraheni
Prodi Matematika Jurusan Matematika FMIPA Universitas Brawijaya
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Dentistry Economics, Econometrics & Finance Electrical & Electronics Engineering Energy Engineering Environmental Science Health Professions Immunology & microbiology Mathematics Mechanical Engineering Medicine & Pharmacology Nursing Physics Public Health Transportation Other

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Dynamics of a Fractional Order Eco-Epidemiological Model Nugraheni, Kartika; Trisilowati, Trisilowati; Suryanto, Agus
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 Ali Khomsan Ali Rosidi Anggriani, Indira Aprilia Indra Kartika, Aprilia Indra Aprillia, Happy Asfa Niswah, Fazat Asihanto, Balqis Aureola Putri Ayunintyas, Rr. Annisa Catherina, Angela Dewi, Luthfia Fernando, G. S.N. Filiana, Firilia Fitria, Irma Fitriyanti, Addina Rizky Hapsari Sulistya Kusuma Istianty, Ari Joko Teguh Isworo Kusuma, Refani Alycia Lukmaini, Sindi M.Pd S.T. S.Pd. I Gde Wawan Sudatha . Maulida, Fitra Millah, Nashrul Muhammad Muhibbi Mustakim Mustakim Natalia Desy Putriningtyas, Natalia Desy Nisa, Alfiana Ainun Nissa, Choirun Pabannu, Alfian Pasanda, Amalia Pinda Ayu Widiyani Prihatiningrum, Felin Aulia Purwanti Susantini Rahajoe, Toeti Retno Wahyu Dewanti Safitri, Anugrahaning Dyah Safitri, Yuliani Dewi Siti Harnina Bintari Soemarsono, Annisa Rahmita Thorikul Huda Trisilowati Trisilowati, Trisilowati Usrotus Wakhidah, Ummi Saydatul Wakhidah, Ummi Usrotus Saydatul Widayat, Ifan Awang Riski Widya Hary Cahyati Winarni Winarni Yanuar Bhakti Wira Tama Yogaswara, Andre