Article Per Year (5 Year)
p-Index From 2020 - 2025
2.863
P-Index
This Author published in this journals
All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jambura Journal of Biomathematics (JJBM) Milang Journal of Mathematics and Its Applications Journal of Mathematics, Computation and Statistics (JMATHCOS)
Jaharuddin
Departemen Matematika, Fakultas Matematika Dan Ilmu Pengetahuan Alam, Institut Pertanian Bogor
Agriculture, Biological Sciences & Forestry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Published : 39 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search
Journal : Journal of Mathematics, Computation and Statistics (JMATHCOS)

 1 
Stability Analysis of a Time-Delayed Disease Transmission Model in Prey–Predator Populations Incorporating a Holling Type II Functional Response Rauf, Nurul Maqfirah; Sianturi, Paian; Jaharuddin, Jaharuddin
Journal of Mathematics, Computations and Statistics Vol. 8 No. 1 (2025): Volume 08 Nomor 01 (April 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i1.7428

Abstract

Abstrak. This article presents a comprehensive study of a mathematical model describing the spread of infectious disease within a prey–predator population, incorporating the Holling type II functional response and a delay parameter, denoted as τ, representing the incubation or infection period. The model captures the interactions among four population groups: susceptible prey, infected prey, susceptible predators, and infected predators. Through analytical investigation, six fixed points (equilibrium points) of the system were identified. The stability of these fixed points was examined using the eigenvalues of the Jacobian matrix, and one locally stable fixed point was found, while the others were identified as saddle points or unstable. To gain deeper insights into the model’s behavior over time, numerical simulations were conducted for different values of the delay parameter . The results indicate that the presence of a time delay significantly affects the dynamics of all four population groups. Specifically, the infection delay can suppress or slow the spread of the disease by delaying the transition from susceptible to infected classes. Oscillatory behavior emerged in certain population groups when the delay was introduced, especially among infected prey and predators, before gradually stabilizing toward the disease-endemic equilibrium. These findings highlight the critical role of time delay in disease transmission dynamics in ecological systems and provide a framework for further research on delay-induced phenomena in epidemiological models. Keywords: Prey–Predator, Disease Spread, Delay Time, Functional Response, Stability Analysis.
Co-Authors A. KUSNANTO A. T. WIBOWO Ahkrizal, Afdhal Ali Kusnanto Amalia, Imas Saumi Bib Paruhum Silalahi Blante, Trianty Putri Cahyona, Dwizani Vinoma D. NATALIA Darmawan, Azhar Janjang E. N. BANO Ekaputri, Dhea Endar Hasafah Nugrahani Eti Rohaeti Euis Aprianti F. FAHRURRAZI F. HANUM Fahri Novi Farida Hanum Farida Hanum Fikri, Faiqul H. HASANNUDIN H. HERMANSYAH Hadi Sumarno Handoyo, Sapto Mukti I. ALDILLA L. D. OKTAFIANI L. HAKIM Mirza Farhan Azhari N. AIN Nugrahani, Endar H. Nur Aziezah P. SIANTURI Paian Sianturi Rauf, Nurul Maqfirah Sahamony, Nur Fitriyani Siswandi SISWANDI, S. Sugi Guritman T. BAKHTIAR Tan, Elfina TEDUH WULANDARI Toni Bakhtiar