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All Journal The Journal of Experimental Life Sciences (JELS) EIGEN MATHEMATICS JOURNAL Mandalika Mathematics and Educations Journal Contemporary Mathematics and Applications (ConMathA) Jurnal Diferensial Lombok Journal of Science Griya Journal of Mathematics Education and Application Rengganis Jurnal Pengabdian Masyarakat Journal of Research Applications in Community Services Bakti Sekawan : Jurnal Pengabdian Masyarakat Parameter: Jurnal Matematika, Statistika dan Terapannya Semeton Mathematics Journal Sinergi dan Harmoni Masyarakat MIPA Perspectives in Mathematics and Applications (PERMATA)
Rio Satriyantara
Universitas Mataram
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Journal : EIGEN MATHEMATICS JOURNAL

 1 
Co-Existing Point of Equilibrium in Discretization of Fractional-Order Prey and Predator Model Rio Satriyantara; Dara Puspita Anggraeni; Irma Risvana Dewi; Alfian Eka Utama
Eigen Mathematics Journal Vol. 6 No. 1 Juni 2023
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v6i1.169

Abstract

In this work, a discretization process of a fractional-order prey and predator model is discussed. The aim of this work is to describe the population phenomenon which contains prey and predator. In this research, the prey and predator model by Ghosh et al. (2017) is used. The model has an unique form because it contains prey refuge and additional food to predator. In order to give more details on prey and predator population, the model then modified into fractional order and then discretized. The discretization model has three points of equilibrium and one of them named co-existing point of equilibrium. The numerical simulation is used to perform the stability. The numerical simulation is controlled by using mathematical programming language. It resulted that the co-existing point of equilibrium tends to be stable or converge if a small value of  (time step) is selected. Otherwise, if a larger value of  is selected, then oscillatory is appeared which means the point of equilibrium become unstable or diverge.
Co-Authors Abdurahim, Abdurahim Ade Irawan Adi Irawan Adriansyah, Muhammad Agus Kurnia Alfian Eka Utama Alfian Eka Utama Alfian Eka Utama Ardana, Alfian Putra Ayes Malona Siboro Dani, Ifan Hasnan Dara Puspita Anggraeni Dara Puspita Anggraeni Dara Puspita Anggraeni, Dara Puspita Dewi, Irma Risvana Dhity Rismawati Dwi Agustini Dwi Agustini, Dwi Fariz Maulana Farwan Farwan Farwan, Farwan Fathul Maulina Wahidah Fauzi, Andri Azmul Fauzi, Muhammad Hilmi Graha, Syifa Salsabila Satya Gusti Yogananda Karang Hardi, Rida Alkausar Harsyiah, Lisa Helmi Hariyanti Hidayat, Malik Hidayat, Noor Hidayatullah, Azka Farris I Gede Adhitya Wisnu Wardhana I Gede Adhitya Wisnu Wardhana Inayati, Rizqa Irma Risvana Dewi Irma Risvana Dewi Irma Risvana Dewi Irwansyah Irwansyah Irwansyah Irwansyah Karang, Gusti Yogananda Kusuma, Shendy Arya Lailia Awalushaumi, Lailia Lalu Riski Wirendra Putra Lia Fitta Pratiwi Lilik Hidayati, Lilik Lismawanti Safitri Livia Alda Rahmania Luzianawati, Luzianawati Maharani, Andika Ellena Saufika Hakim Malik, Deny Putra Mamika Ujianita Romdhini Mamika Ujianita Romdhini, Mamika Ujianita Marhani Marwan Marwan Maulana, Fariz Muhammad Rijal Alfian Naada Zahira Nababan, Maxtulus Junedy Neti Esta Wardaningsih Ni Nengah Anggita Purwanti Nuzla Af’idatur Robbaniyyah Pahrurrozi Pahrurrozi Paqih, Muhammad Imam Al Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Putri, Syaftirridho Qurratul Aini Ramadhan, Fitrah Ramadhan, Hikmal Maulana Rendi Bahtiar Pratama Ria Maulina Ridwan, Lalu Muhammad Ripai, Ripai Rismayatun Ainun Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Rohmah, Zulfiani Salwa Salwa Satriawan Pradana Sefti Fajriatul Musyarrofah Siboro, Ayes Malona Suryanto, Agus Syaftirridho Putri Syamsul Bahri Syifa Salsabila Satya Graha Tri Maryono Rusadi Trias Kurnia Tumilaar, Rinancy Utama, Alfian Eka Wahidah, Fathul Maulina Widiastuti, Ratna Sari Zarkasi Zarkasi Zata Yumni Awanis Zata Yumni Awanis Zikri, Lalu Muhammad Faiz Zulhan Widya Baskara