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All Journal Jurnal Statistika Universitas Muhammadiyah Semarang Jurnal Pendidikan Matematika RAFA Jurnal Edukasi Matematika dan Sains Jurnal Sains Matematika dan Statistika BAREKENG: Jurnal Ilmu Matematika dan Terapan Pendas : Jurnah Ilmiah Pendidikan Dasar Communication in Biomathematical Sciences Jambura Journal of Mathematics MONSU'ANI TANO Jurnal Pengabdian Masyarakat Jurnal Matematika UNAND JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Contemporary Mathematics and Applications (ConMathA) Jambura Journal of Mathematics Education Jambura Journal of Biomathematics (JJBM) Jurnal Diferensial Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi MATHunesa: Jurnal Ilmiah Matematika Pedagogy : Jurnal Pendidikan Matematika Jurnal Pengabdian Papua Bulletin of Applied Mathematics and Mathematics Education Trigonometri: Jurnal Matematika dan Ilmu Pengetahuan Alam Journal of Mathematics, Computation and Statistics (JMATHCOS) Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa Limits: Journal of Mathematics and Its Applications Indonesian Journal of Computational and Applied Mathematics Jambura Journal of Biomathematics (JJBM)
Hasan S. Panigoro
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Journal : contemporary mathematics and applications conmatha

 1 
The Dynamics of a Discrete Fractional-Order Logistic Growth Model with Infectious Disease Hasan S Panigoro; Emli Rahmi
Contemporary Mathematics and Applications (ConMathA) Vol. 3 No. 1 (2021)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v3i1.26938

Abstract

In this paper, we study the dynamics of a discrete fractional-order logistic growth model with infectious disease. We obtain the discrete model by applying the piecewise constant arguments to the fractional-order model. This model contains three fixed points namely the origin point, the disease-free point, and the endemic point. We confirm that the origin point is always exists and unstable, the disease-free point is always exists and conditionally stable, and the endemic point is conditionally exists and stable. We also investigate the existence of forward, period-doubling, and Neimark-Sacker bifurcation. The numerical simulations are also presented to confirm the analytical results. We also show numerically the existence of period-3 solution which leads to the occurrence of chaotic behavior.
Co-Authors Abubakar, Agung Sucipto Agus Suryanto Agus Suryanto Agusyarif Rezka Nuha Ajiboye, Aminat Olabisi Ali Rusman Amanda Adityaningrum Amelia Tri Rahma Sidik Apon Ismail Armayani Arsal Armayani Arsal Asriadi Asriadi Asriadi Asriadi Asriadi Asriadi Asriadi, Asriadi Balogun, Ghaniyyat Bolanle Beay, Lazarus Kalvein Cabelita Husuna Darti, Isnani Datu, Pratiwi Ardin Daud, Sriwati M. Dewi Rahmawaty Isa DIAN SAVITRI Dian Savitri Djihad Wungguli Femy M. Sahami Ferawati Kai G. S. Mahapatra Gani, Friansyah Gitami Suleman Hadi Susanto Harto Malik Hidajati, Ninik Wahju Ibran S. Tepanus Indah Permatasari Ismail Djakaria Isnani Darti Isnani Darti Isnani Darti Isran K Hasan Isran K. Hasan K. Nasib, Salmun Kalarani Murugesan Kasim, Ranan Kaune, Nurlaila Kavitha Arumugam Kusumahwinahyu, Wuryansari Muharini La Ode Nashar Lahay, Anatasya Lailany Yahya Lakoro, Tiara Lanto Ningrayati Amali LIMALO, SRI AGUSTIN Mahmud, Sri Lestari Majid3, Majid Masrulkhalis Masrulkhalis Mohamad Hidayat Hala Mohamad Taufik Hamani Nadhilah, Farhah Nisky I. Yahya NISKY IMANSYAH YAHYA Nisky Imansyah Yahya Nisky Imansyah Yahya Novianita Achmad Nurafni, Firda Nurdia Walangadi Nurhayati Abbas Nurmardia Abdussamad, Siti Nurwan Nurwan, Nurwan Nurwan, Nurwan Oguntolu, Festus Abiodun Omede, Benjamin Idoko P. K. Santra Pakaya, Revandi S. Perry Zakaria Peter, Olumuyiwa James Prasantha Dhandapani Rahmi, Emli Rauf, Jayanti Rebecca Nalule Resmawan Resmawan Resmawan Resmawan Salmun K. Nasib Sarson W DJ Pomalato Sarson W. Dj Pomalato Sianne Sarif Sidik, Amelia Tri Rahma Siraj, Suaib A Suaib A. Siraj suma, reza ardiansyah Suryanto, Agus Taulia Damayanti Vishalakshi Kuppusamy Wuryansari Muharini Kusumahwinahyu Yahya, Nisky Imansyah Yayu Indriati Arifin Zulfatra Lamuda