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Journal : Communication in Biomathematical Sciences

A Skema Numerik Nonstandar untuk Model Predator-prey dengan Kanibalisme dan Perlindungan pada Predator Rayungsari, Maya; Suryanto, Agus; Kusumawinahyu, W. M.; Darti, Isnani
Communication in Biomathematical Sciences Vol. 6 No. 1 (2023)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2023.6.1.2

Abstract

In this study, we implement a Nonstandard Finite Difference (NSFD) scheme for a predator-prey model involving cannibalism and refuge in predator. The scheme which is considered as a discrete dynamical system is analyzed. The performed analysis includes the determination of equilibrium point and its local stability. The system has four equilibrium points, namely the origin, the prey extinction point, the predator extinction point, and the coexistence point, which have exactly the same form and existence conditions as those in continuous system. The local stability of each first three equilibrium points is consistent with the one in continuous system. The stability of the coexistence point depends on the integration time step size. Nevertheless, the NSFD scheme allows us to choose the integration time step size for the solution to converge to a feasible point more flexible than the Euler and 4th order Runge-Kutta schemes. These are shown via numerical simulations.
Co-Authors A Halim A.A. Ketut Agung Cahyawan W Abrianti, Putri Achmadi, Taofan Ali Addieni, Mulia Addin, Muhammad Faqih Adenita Cynthia Adi Setiawan Affan, Banu Nur Agus Murnomo Anan Nugroho Andy Andy Anggraini Mulwinda Anggraini Mulwinda Apriyanto, Eko Bagus Arfriandi, Arief Arif Budi Prasetya Ashar, Fauzi Asriningati Asriningati Bahrul Maani Cahyo Fajar Adhiningtyas Daffa, Muhammad Abu Damaiyanti, D. R. R. Damaiyanti, D.R.R. Dania Ayu Wulandari Darmoyo Darmoyo Dendy Eta Mirlana Dewi, Nur Afifah Dhidik Prastiyanto Diah Ayu Kusumawati Diah Ayu Kusumawati Djallalluddin Djallalluddin Dyah Erlina Sulistyaningrum Edy Prayitno Eko Supraptono Endang Wuryandini Erviani, Diah Erviani, Diah Fahrurrozy, Mohammad Farida Farida Feddy Setio Pribadi Fikrie Rizqy Juan Bismaditya Friska Rizqi Pratiwi Gestiyana Ayu Kurnia Puteri Girsang, Srimayanti Hanang Wibisono, Banteng Handoyo, Thomas Hari Wibawanto Hasan S. Panigoro Hemida Kusumaningrum Hirlan Hirlan Hudallah, Nur Ibrahim M. H. Sanhoury Ilmam, Hasbi Shidqi Indriyani, Triska Widya Isnani Darti Kartono - Khoiril Anam, Khoiril Khoirudin Fathoni, Khoirudin Khotimah , Khusnul Krisnawati, Vira Hari Kusumaningtyas, Sa'aprita Kusumawinahyu, W. M. Lutfiyana, Lutfiyana M. Harlanu, M. Mario Norman Syah, Mario Norman Matatula, Denis Andre Moh. Amin Mubarok, Ahnan Mudji Santosa Muhammad Akmal Muhammad Luthfi Musafir, Raqqasyi Rahmatullah Najma Aulia Nindra, Daffa Noor Hudallah Noor Ramadhan, Akbar Noor, Arifin Nugraha, Alfikri Raihan Nur Hidayat Nuri Aulya Nurkholis, Fathur Nurul Imamah Octavianti Paramita Pambudi, Muhammad Ario Paramyta Nila Permanasari, Paramyta Nila Pranata, Bayu Ari Pranata, Bayu Ari Purnomo, Anna Silvia R Kartono, R Rahman, Antony Anwari Rahmawati, Anindya Raunica, Elsha Afry Rayungsari, Maya Resmawan Resmawan Riana Defi Mahadji Putri Ridwan, Dzaky Fakhriza Ruslan Abdul Gani Saptariana - Saptriana Suryanto, Saptriana Seftriana Anifa Khusniasari Setio, Pradipa Setyono Yudo Tyasmoro Setyono, Bagus Wahyu Setyowati Pertiwi, Indah Shafakamila, Salsabila Nazla Sitawati Sitawati Sitawati, . Sri Puji Lestari Sri Sartono, Sri Sri Sukamta Syahrul Ramadhan Tanamas, Jimmy Tatyantoro Andrasto Tindriyani, Niswatul Arifah Toto Himawan Trisilowati Trisilowati, Trisilowati Tyary Airivia Udayana, Cicik Ulfah Mediaty Arief Uswatun Hasanah Wardhani, Dyah Ayu Kusuma Warma, Mohammad Perdana Prehatama Putra Wicaksono, Dwi Haryo Wuryasari Muharini Kusumawinahyu Yuniaratri, Riris Yuniaratri, Riris Yusuf, Dedi Yuwono, Amrih