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All Journal Media Statistika JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI MUST: Journal of Mathematics Education, Science and Technology BAREKENG: Jurnal Ilmu Matematika dan Terapan Jambura Journal of Mathematics Jurnal Varian Jurnal Sibermas (Sinergi Pemberdayaan Masyarakat) Jambura Journal of Biomathematics (JJBM) JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Griya Journal of Mathematics Education and Application Jurnal Pengabdian Masyarakat dan Riset Pendidikan
Muhammad Rezky F. Payu
Department Of Mathematics, FMIPA, Gorontalo State University
Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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Journal : Jambura Journal of Biomathematics (JJBM)

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Dynamics of a predator-prey model incorporating infectious disease and quarantine on prey Anatasya Lahay; Muhammad Rezky Friesta Payu; Sri Lestari Mahmud; Hasan S Panigoro; Perry Zakaria
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 2: December 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i2.17162

Abstract

In this article, the dynamics of a predator-prey model incorporating infectious disease and quarantine on prey population is discussed. We first analyze the existence conditions of all positive equilibrium points. Next, we investigate the local stability properties of the proposed model using the linearization method. We also determine the basic reproduction number using the next generation matrix. Finally, some numerical simulations are performed to validate the stability of each equilibrium point.
Co-Authors Abd Wahidin Nuayi Akor, Umar D. Anatasya Lahay Asriadi Djihad Wungguli Dukalang, Hendra Evi Hulukati Febriyana Taki Haris Danial HARIYATI H. USMAN Hasan S. Panigoro I Wayan Eka Sultra Indri Wirahmi Bay Ingka Rizkyani Akolo Ismail Djakaria Kuka, Fatra Kurniasari Abram La Ode Nashar Lailany Yahya Loleh, Linda Purnama Sari Melisa Huntala Ningsih, Setia NISKY IMANSYAH YAHYA Novianita Achmad Nurwan Nurwan Nurwan, Nurwan Perry Zakaria Sri Lestari Mahmud Sri Widyarti Ali Windra Tahir Yolanda Rahim YULINAR I. AJUNU Yulinda L. Ismail