ANALISIS KESTABILAN DAN BIFURKASI PADA MODEL MATEMATIKA TINGKAT PENGANGGURAN PADA MASA PANDEMI COVID-19
Abstract
Covid-19 is a type of virus from the Coronaviridae which has implications for infectious and deadly diseases that attack mammals such as humans in the respiratory tract to the lungs. In the conditions of the outbreak of the Covid-19 pandemic, it turns out that there are many impacts, mainly in the Indonesian economic sector, for example unemployment, with the spread of the Covid-19 virus in Indonesia to date, it is possible that the unemployment rate in Indonesia will increase. The purpose of this study is to see how the unemployment rate during the Covid-19 pandemic is taking into account several compartments, namely susceptible, unemployed, employed, reduction, and lead, showing a sensitivity analysis to determine the parameters that affect the basic reproduction number , and bifurcation analysis. The results obtained from the sensitivity analysis, which found a parameter relationship with which could increase and decrease the value of , and the bifurcation analysis showed the effect of changes in the stability of the equilibrium point due to changes in the value of the parameter . model simulation shows the unemployment rate during the Covid 19 pandemic and to show the effect of the governments policy rate ( on unemployment during the Covid 19 pandemic.
Downloads
Metrics
References
Al-maalwi, R., Ashi, H. A., & Al-sheikh, S. (2018). Unemployed Model. Applied Mathematical Science. Vol 12, No.21, 989-1006.
Ansar, A. 2018. Pemodelan Matematika SIRS dengan Vaksinasi pada Penyebaran Penyakit. Makassar: Universitas Negeri Makassar.
Fahri, Jalil, A., & Kanelly, S. 2019. Meningkatnya Angka Pengangguran Di Tengah Pandemi Covid-19. Ekonomi Syariah. Vol. 2, No.2, 2685-4228.
Ginting, M.L.B. 2021. Perluasan Kesempatan Kerja bagi Freshgraduate di Masa Pandemi Covid-19, Apa Peran Pemerintah?. Jurnal Ketenagakerjaan. Vol. 16, No. 2, 1907-6096
Hezam, I.M. 2020. Covid-19 and Unemployment: A Novel Bi-Level Optimal Control Model. Tech Science Press. Doi:10.32604/cmc.2021.014710.
Indayani, S., & Hartono, B. 2020. Analisis Pengangguran dan Pertumbuhan Ekonomi sebagai Akibat Pandemi Covid-19. Jurnal Ekonomi & Manajemen . Vol. 18, N0.2, 1411-8637.
Ndii. 2022. Pemodelan Matematika. Universitas Nusa Cendana: PT. Nasya Expanding Management.
Putri, R.N. 2020. Indonesia dalam Menghadapi Pandemi Covid-19. Lembaga Penelitian dan Pengabdian kepada Masyarakat (LPPM) Universitas Batanghari Jambi. Vol. 20, No. 2.
Rizal, F., Mukoramah, H. 2021. Kebijakan Pemerintah Indonesia dalam Mengatasi Masalah Pengangguran akibat Pandemi Covid-19. Annual Interdiciplinary Conference on Muslim Societies (AICOMS). Vol. 1.
Rusman. 2021. Dampak Pandemi Covid-19 terhadap Angka Pengangguran di Indonesia. ISSN:2654-5306.
Side, S., & Rangkuti, Y.M. 2015. Pemodelan Matematika dan Solusi Numerik untuk Penularan Demam Berdarah. Medan: Perdana Publishing.
Suryana, D.D., Lutfiyah, L., & Alfiani, T. 2022. Pengaruh Covid-19 Terhadap Peningkatan Angka Pengangguran. Ecopreneur: Jurnal Ekonomi dan Bisnis Islam. Vol.3, No.1.
Susilo. (2020. )Coronavirus Disease 2019. Jurna Penyakit Dalam. Vol. 7, No. 1, 2406-8969.
Word Health Organization (WHO). 2020. Novel Coronavirus 2019. https://www.who.int/emergencies/diseases/novel-coronavirus-2019. Diakses 20 November 2021.
Yuliana. (2020). Corona Virus Disease (Covid-19). Wellnes and Healthy Magazine. Vol. 2, No.1, 102-187.
Copyright (c) 2022 Nurul Aulia Bohari, Syamsuddin Toaha, Kasbawati Kasbawati
This work is licensed under a Creative Commons Attribution 4.0 International License.
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal.
- That it is not under consideration for publication elsewhere,
- That its publication has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
License and Copyright Agreement
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under Creative Commons Attribution License (CC BY 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.