DYNAMICAL ANALYSIS OF SVEIR MODEL IN SPREAD OF THE MONKEYPOX DISEASE WITH TIME DELAY

  • Isnu Aji Saputro Department of Mathematics, Jenderal Soedirman University, Indonesia
  • Glagah Eskacakra Setyowisnu Department of Mathematics, Jenderal Soedirman University, Indonesia
  • Noor Sofiyati Department of Mathematics, Jenderal Soedirman University, Indonesia
  • Dian Puspita Department of Mathematics, Jenderal Soedirman University, Indonesia
DOI: https://doi.org/10.20884/1.jmp.2025.17.2.17707

Abstract

Monkeypox is an infectious disease whose spread is influenced by various epidemiological factors, one of which is the incubation period. This study developed a mathematical model of Monkeypox, SVEIR, by incorporating a time delay in the transition from an exposed individual to an infectious individual, representing the incubation period. Model analysis shows that the system has two equilibrium points: a disease-free state and an endemic state. Based on the simulation results, a threshold value (tau* ) is obtained, which plays a crucial role in disease control. If the incubation period is below the threshold ( tau<tau*), then R0>1 , and the disease will spread endemically. Conversely, if the incubation period exceeds the threshold (tau>tau* ), then R0<1 , and the disease will disappear from the population

Published
2026-01-07
How to Cite
SAPUTRO, Isnu Aji et al. DYNAMICAL ANALYSIS OF SVEIR MODEL IN SPREAD OF THE MONKEYPOX DISEASE WITH TIME DELAY. Jurnal Ilmiah Matematika dan Pendidikan Matematika, [S.l.], v. 17, n. 2, p. 151-166, jan. 2026. ISSN 2550-0422. Available at: <https://jos.unsoed.ac.id/index.php/jmp/article/view/17707>. Date accessed: 17 jan. 2026. doi: https://doi.org/10.20884/1.jmp.2025.17.2.17707.
Citation Formats
Issue
Vol 17 No 2 (2025): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
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Articles
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