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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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Numerical Solution of a Fractional-Order Predator-Prey Model with Prey Refuge and Additional Food for Predator Rio Satriyantara; Agus Suryanto; Noor Hidayat
The Journal of Experimental Life Science Vol. 8 No. 1 (2018)
Publisher : Postgraduate 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.
Numerical Simulation of Leslie-Gower Predator-Prey Model with Stage-Structure on Predator Rima Anissa Pratiwi; Agus Suryanto; Trisilowati Trisilowati
The Journal of Experimental Life Science Vol. 8 No. 3 (2018)
Publisher : Postgraduate School, Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1381.092 KB) | DOI: 10.21776/ub.jels.2018.008.03.011

Abstract

In this paper, we introduce Leslie-Gower predator-prey model with a stage-structure population on the predator. This model consists of two populations, that are prey and predator populations. Here, we divide predator into two stages. Thus, we have three classes of population in this model that are prey, juvenile predator, and mature predator. The focus of this paper is to know the interaction between the population that is affected by stage-structure in predator population in the model and to study numerically the effects of stage-structure in predator population on the interaction of prey and predator. It is found that the transition rate from juvenile to mature predator is a very important parameter which may determine the long-term behavior of both prey and predator.Keywords: Leslie-Gower model, predator-prey model, stage-structure.
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