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Mathematical Model of COVID-19 with the Influence of Vaccination Purnami, Ndaru Atmi; Prawadika, Luqman Nuradi; Pasangka, Irvandi Gorby; Findasari, Findasari; Kusumawati, Eka; Pratama, Ilham Yoga; Suharis, Ridho; Maturbongs, Nadhira Hasna
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 3 December 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i3.34182

Abstract

The COVID-19 pandemic, which first emerged at the end of 2019, has had a significant impact on people's lives around the world. In Indonesia, the outbreak began to develop in February 2020. Although the pandemic has now passed and people have started to resume their normal activities, some individuals are still being infected with COVID-19, even though the number of cases is now under control. One of the key factors in controlling COVID-19 is vaccination. The extent to which vaccination affects COVID-19 transmission will be discussed in this study. Furthermore, a numerical simulation will be conducted on this mathematical model to observe the impact of vaccination on COVID-19. The mathematical model of COVID-19 with vaccination influence will describe the interaction between six population classes, namely: the class of susceptible individuals who can be infected (Susceptible – S), the class of exposed individuals (Exposed – E), the class of vaccinated individuals who have never been infected (Vaccinated – V), the class of infected individuals (Infected – I), the class of individuals who have recovered (Recovered – R), and the class of infected individuals who have died (Death – D). It is important to note that COVID-19 is a disease caused by infection with the coronavirus. A person who has not yet been infected with the virus has the potential to be exposed. One way to prevent exposure is through vaccination. In Indonesia, vaccination has been made mandatory three times: the first dose, the second dose, and the booster. However, because the coronavirus has an incubation period, there is no guarantee that a vaccinated person has not already been exposed to the virus. Exposed individuals will become infected with COVID-19 once the incubation period ends. Infected individuals may show symptoms or be asymptomatic. An infected individual has two possible outcomes: recovery or death. The modeling is based on the SEVIRD model, with its parameters estimated using data. This study produces a mathematical model of COVID-19 with vaccination influence, showing that vaccination plays a role in controlling the spread of COVID-19.
Development of Timor Local Lurik Peanut Through Breeding with Multigamma Irradiation Method to Obtain Superior Generations Bartholomeus Pasangka; Irvandi Gorby Pasangka; Refli Refli
Journal of Material Science and Radiation Vol. 1 No. 2 (2025): August
Publisher : Balai Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56566/jmsr.v1i2.385

Abstract

This research focuses on development of local Timor lurik peanut through breeding using multigamma irradiation method, careful selection, and purification to obtain superior generation. The advantage of method is that superior generations are obtained in a relatively short time. Development using modern technology needs to be carried out considering that the production of lurik peanuts at the farmer level has only reached 0.7 t ha-1 to 1.2 t ha-1. The objective of the research is to develop local Timor lurik peanut through breeding using multigamma irradiation method, careful selection, and purification to obtain superior generation seeds. The main research methods are observation, irradiation, careful selection, purification, analysis, and interpretation. Brief procedure of the research: observation for selection of local lurik peanut seeds and identifying the chemical and physical characteristics of parent as comparative materials, preparing the land, cultivating the land, irradiating the seeds, planting on the prepared land, weeding to be free of weeds and fertilizing, irrigating as needed, spraying insecticides as needed, observing and measuring during growth, harvesting, and sorting superior generation seeds. The results obtained: development of local Timor lurrik peanuts through breeding with multigamma irradiation and careful selection obtained superior selected generations that adapt to drought conditions, tolerant of pests and diseases, and high production. The production range of the superior generation resulting from multigamma irradiation was (4.56-4.75) t ha-1 with an average production of 4.63 t ha-1. The percentage increase in production of the superior selected generation was 41.04%, an average water content was 11.2%.