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All Journal Jurnal Matematika UNAND Jambura Journal of Biomathematics (JJBM)
Tresna, Sanubari Tansah
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Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Study of Mathematical Modeling for Plant Disease Transmission: A Systematic Literature Review during 2012-2022 Tresna, Sanubari Tansah; Anggriani, Nursanti; Supriatna, Asep Kuswandi
Jambura Journal of Biomathematics (JJBM) Volume 4, Issue 1: June 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v4i1.18443

Abstract

Many models representing disease transmission have been constructed and analyzed mathematically. However, literature studies on the mathematical models for vector-borne disease are sparse, especially on the plant disease transmission model. This study aims to obtain information about the research conducted and find room for developing the model, including mathematical analysis, intervention used, and biological factors considered. We employ a Systematic Literature Review (SLR) to explore all of the studies on plant disease transmission modeling collected from four digital databases. First, the JabRef reference manager helps conduct the inclusion and exclusion processing. Then, we obtain 60 selected articles that passed the criterion. Next, the VOSviewer application is resulting a bibliometric analysis of the database containing chosen articles. Finally, we classify the model constructed based on the system used and elaborate on the intervention used. The results show that the existing researcher clusters are not linked to each other, and the models only consider usual interventions such as roguing and insecticide spraying. Hence, there is much room to build collaboration between the researcher and develop models for plant disease transmission by considering the other various intervention and biological factors in the model to improve further.
An Exploration of the Optimal Solution for the Tuberculosis Transmission Model considers the Post-recovery Treatment using Optimal Control Theory Tresna, Sanubari Tansah; Choirul Basir; Usep Rahmat; Enggar Prasetyawan
Jurnal Matematika UNAND Vol. 15 No. 2 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.2.224-236.2026

Abstract

Tuberculosis, also known as TB, is among the most communicable diseases. It is strenuous to detect TB infection early, so the number of cases increases over time. Consequently, the cost of treating the TB-infectious sufferer is getting higher. However, since the recovered people from TB can become infected again, the post-treatment intervention needs to be conducted. Many mathematical models have been developed to study TB transmission among people. However, the study of cost-effectiveness analysis is not well-studied. Therefore, we are proposing a reformulated model of TB transmission into an optimal control model by considering the post-treatment intervention to reduce the cases of re-infected TB. The numerical simulations are performed to figure out the projection of its population dynamics under TB transmission. Next, we calculate the Average Cost-Effectiveness Ratio (ACER) and Incremental Cost-Effectiveness Ratio (ICER) to explore the most cost-effective strategy.
Co-Authors Asep Kuswandi Supriatna Choirul Basir Enggar Prasetyawan Nursanti Anggriani Usep Rahmat