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All Journal Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Noor Sofiyati
Department of Mathematics, Jenderal Soedirman University, Indonesia
Mathematics

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DYNAMICAL ANALYSIS OF SVEIR MODEL IN SPREAD OF THE MONKEYPOX DISEASE WITH TIME DELAY Isnu Aji Saputro; Glagah Eskacakra Setyowisnu; Noor Sofiyati; Dian Puspita
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 17 No 2 (2025): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 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
Co-Authors Dian Puspita Glagah Eskacakra Setyowisnu Isnu Aji Saputro