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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) CAUCHY: Jurnal Matematika Murni dan Aplikasi Journal of Food and Life Sciences KEMBARA Science and Technology Indonesia Syntax Literate: Jurnal Ilmiah Indonesia BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Matematika UNAND
Noor Hidayat, Noor
Fakultas Kesehatan Masyarakat, Universitas Ahmad Dahlan Yogyakarta
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Environmental Science Immunology & microbiology Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Neuroscience Physics Public Health Social Sciences Transportation Other

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Numerical Solution of a Fractional-Order Predator-Prey Model with Prey Refuge and Additional Food for Predator Satriyantara, Rio; Suryanto, Agus; Hidayat, Noor
The Journal of Experimental Life Science Vol. 8 No. 1 (2018)
Publisher : Graduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1177.162 KB) | DOI: 10.21776/ub.jels.2018.008.01.11

Abstract

In this paper, a fractional-order predator-prey model with prey refuge and additional food for predator is solved numerically. For that aim, the model is discretized using a piecewise constant arguments. The equilibrium points of the discrete fractional-order model are investigated. Numerical simulations are conducted to see the stability of each equilibrium point. The numerical simulations show that stability of the equilibrium points is dependent on the time step.Keywords: Additional Food, Fractional-Order, Predator-Prey, Prey Refuge.
Dynamical Analysis of Predator-Prey Model Leslie-Gower with Omnivore Exviani, Rina; Kusumawinahyu, Wuryansari Muharini; Hidayat, Noor
The Journal of Experimental Life Science Vol. 8 No. 2 (2018)
Publisher : Graduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1306.624 KB) | DOI: 10.21776/ub.jels.2018.008.02.10

Abstract

This article discussed a dynamical analysis on a model of predator-prey Leslie-Gower with omnivores which is modified by Lotka-Volterra model with omnivore. The dynamical analysis is done by determining the equilibrium point with its existing condition and analyzing the local stability of the equilibrium point. Based on the analysis, there are seven points of equilibrium. Three of them always exist while the four others exist under certain conditions. Four points of equilibrium, namely and are unstable, while the others three equilibrium point are local asymptotically stable under certain conditions. Moreover, it's also conducted numerical simulations to illustrate the analytical. The results of numerical simulations agree with the results of the dynamical analysis. Keywords: local stability, omnivore, predator-prey models, the equilibrium point
Co-Authors A.A. Ketut Agung Cahyawan W Abdul Rouf Abdul Rouf Alghofari Agus Suryanto Al-ghofari, Abdul Rouf Amandani, Dian Kartika Amigo, Royyan Damarian Prawira Hutama, Damarian Prawira Darmajid, Darmajid Dwi Mifta Mahanani, Dwi Mifta Edi Priyo Utomo Estri Laras Arumingtyas Exviani, Rina Fatimah, Farah Maulidya Fira Fitriah Fitriah, Zuraidah Hafif Komarullah Hidayahningrum, Syafitri Indah Yanti Joni Kusnadi Karim, Corina Khairi, Desfi Rahmatul Khuluq, Muhammad Husnul Krisnawati, Vira Hari Kristiana Wijaya Kurfia, Mustika Ana M.Pd S.T. S.Pd. I Gde Wawan Sudatha . Marjono Marjono Meilina, Kiki Amanda Eka Mohamad Muslikh Musyarrofah, Ayunda Faizatul Putra, M. Rafael Andika Rio Satriyantara shalsabilla, Az Zahra Sobri Abusini Syaiful Anam Wicaksono, Wildan Bagus Wijaya, Ongky Denny Wuryasari Muharini Kusumawinahyu