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Asmaidi As Med
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Population Behavior in the Mathematical Model of the Spread of COVID19 Type SEIRS Asmaidi As Med; Resky Rusnanda
Jurnal Inotera Vol. 6 No. 2 (2021): July-December 2021
Publisher : LPPM Politeknik Aceh Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31572/inotera.Vol6.Iss2.2021.ID147

Abstract

Mathematical modeling utilized to simplify real phenomena that occur in everyday life. Mathematical modeling is popular to modeling the case of the spread of disease in an area, the growth of living things, and social behavior in everyday life and so on. This type of research is included in the study of theoretical and applied mathematics. The research steps carried out include 1) constructing a mathematical model type SEIRS, 2) analysis on the SEIRS type mathematical model by using parameter values for conditions 1and , 3) Numerical simulation to see the behavior of the population in the model, and 4) to conclude the results of the numerical simulation of the SEIRS type mathematical model. The simulation results show that the model stabilized in disease free quilibrium for the condition and stabilized in endemic equilibrium for the condition .
Analysis of Stability Covid19 Spread Mathematical Model Type SV1V2EIR Regarding Both Vaccinated and Not Vaccinated Human Population Asmaidi As Med; Qonita Qurrota A'yun
Jurnal Inotera Vol. 7 No. 1 (2022): January-June 2022
Publisher : LPPM Politeknik Aceh Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31572/inotera.Vol7.Iss1.2022.ID161

Abstract

The Covid19 case dated 11 November 2021 recorded that the human population died from Covid19 (143,595 people) with confirmed cases (4,249,323 cases) and active cases (9,537 cases). Based on these data, it can be concluded that Covid-19 is an acute and deadly disease. In addition to deaths, due to Covid-19, namely the increase in divorce cases, decreased income in the economy and tourism. In this study, the author made a mathematical modeling of Covid19 type as an effort to prevent the spread of Covid19. In the modeling there are human populations susceptible to Covid19 , human populations have been vaccinated , human populations have not been vaccinated , human populations are exposed , human populations are infected with Covid19 , and human populations recovered from Covid19 . The research objectives are 1) to build a mathematical model of Covid19, 2) to determine the fixed point and basic reproduction numbers, and 3) to analyze the stability of the fixed point. This type of research includes applied science research. The research procedure is 1) observing real phenomena, 2) searching literature, 3) determining variables, parameters, and assumptions in mathematical modeling, 4) building a mathematical model of Covid19, 5) analyzing the Covid19 mathematical model in the form of fixed points, basic reproduction numbers, and fixed point stability. The results of the analysis 1) the mathematical model type has a fixed point without disease and an endemic fixed point, 2) a fixed point without disease is stable for the condition, and the endemic fixed point is stable for the condition.
Stability Analysis of Mathematical Model of Spread of Covid19 SEIRS Type with Constant Birth Rate Asmaidi As Med; Syaripuddin; Dadan Hamdani; Resky Rusnanda
Jurnal Inotera Vol. 8 No. 1 (2023): January-June 2023
Publisher : LPPM Politeknik Aceh Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31572/inotera.Vol8.Iss1.2023.ID229

Abstract

The Covid19 case dated 11 November 2021 recorded that the human population died from Covid19 (143,595 people) with confirmed cases (4,249,323 cases) and active cases (9,537 cases). Based on these data, it can be concluded that COVID-19 is an acute and deadly disease. In addition to deaths, due to Covid-19, namely the increase in divorce cases, decreased income in the economy and tourism. In this study, the author made a mathematical modeling of Covid19 type as an effort to prevent the spread of Covid19. In the modeling there are human populations susceptible to Covid19 , human populations have been vaccinated , human populations have not been vaccinated , human populations are exposed , human populations are infected with Covid19 , and human populations recovered from Covid19 . The research objectives are 1) to build a mathematical model of Covid19, 2) to determine the fixed point and basic reproduction numbers, and 3) to analyze the stability of the fixed point. This type of research includes applied science research. The research procedure is 1) observing real phenomena, 2) searching literature, 3) determining variables, parameters, and assumptions in mathematical modeling, 4) building a mathematical model of Covid19, 5) analyzing the Covid19 mathematical model in the form of fixed points, basic reproduction numbers, and fixed point stability. The results of the analysis 1) the mathematical model type has a fixed point without disease and an endemic fixed point, 2) a fixed point without disease is stable for the condition , and the endemic fixed point is stable for the condition .
SEIRS Type Mathematical Model Simulation (COVID19 Case) Asmaidi As Med; Taqriri Kamal Mulyadi; Desi Febriani Putri; Rinancy Tumilaar
Jurnal Inotera Vol. 8 No. 2 (2023): July - December 2023
Publisher : LPPM Politeknik Aceh Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31572/inotera.Vol8.Iss2.2023.ID271

Abstract

Indonesia is one of the countries hit by COVID19 cases. Data shows that from January 2023 to May 2023, COVID19 cases are still sweeping Indonesia. Data on COVID19 cases in Indonesia on May 30, 2023 showed that 541 patients were confirmed positive with 8 deaths. The data shows that this COVID19 case still needs to be taken seriously and a solution is found. In this study, the authors developed a mathematical model of the spread of COVID19 cases. The mathematical modeling developed is a mathematical model of type SEIRS. In the SEIRS type mathematical model there are four populations including vulnerable population (S), latent population (E), infection population (I), and cured population (R). In the model, it is assumed that the cured population does not recover permanently, but can again suffer from COVID19 caused by other types of viruses. The purpose of developing a mathematical model of the SEIRS type is to determine the behavior of the population in the compartment diagram. Population behavior can be determined by simulating each population in the model. The simulation is performed when the value of the base reproduction number is less than zero and more than zero. Based on the simulations conducted showed that at the time of , the number of latent populations and infections decreased towards zero, while at the time of , latent population and infection still remained in the model so that the disease did not disappear.
Co-Authors Dadan Hamdani, Dadan Desi Febriani Putri Qonita Qurrota A'yun Rusnanda, Resky Syaripuddin Taqriri Kamal Mulyadi Tumilaar, Rinancy