SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 Disease
The SARS-CoV-2 coronavirus can spread through contact with contaminated surfaces. The use of hand sanitizer is claimed to reduce the risk of transmission. For this reason, this study aims to develop a model of the spread of COVID-19 using the SEIR model with the use of hand sanitizer for infected in...
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| Format: | Article |
| Language: | English |
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Mathematics Department UIN Maulana Malik Ibrahim Malang
2024-05-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
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| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/25754 |
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| author | Muhamad Ali Misri Khelan Hussien Qadr Muhammad Avif Rahmatullah |
| author_facet | Muhamad Ali Misri Khelan Hussien Qadr Muhammad Avif Rahmatullah |
| author_sort | Muhamad Ali Misri |
| collection | DOAJ |
| description | The SARS-CoV-2 coronavirus can spread through contact with contaminated surfaces. The use of hand sanitizer is claimed to reduce the risk of transmission. For this reason, this study aims to develop a model of the spread of COVID-19 using the SEIR model with the use of hand sanitizer for infected individuals. The individual population is divided into six compartments, namely two compartments for susceptible individuals who using hand sanitizer and not, one compartment for exposed individuals, two compartments for infected individuals who using hand sanitizer and not, and one compartment for individuals died and recovered. The results obtained two equilibrium points: the disease-free and endemic equilibrium point, and also the basic reproduction number. The existence of a disease-free equilibrium point is unconditional, while the endemic there exist when the basic reproduction number is more than one. Stability analysis of the disease-free equilibrium point is locally asymptotic stable when the basic reproduction number is less than one. Numerical simulations carried out also strengthen them. Finally, the results of basic reproduction number sensitivity analysis show that the basic reproduction number is strongly influenced by contact of the susceptible individuals with exposed and infected individuals, neglecting of hand sanitizer use, mortality and cure rates. |
| format | Article |
| id | doaj-art-a4b1b52f373e476ba95202dae5eff91c |
| institution | Kabale University |
| issn | 2086-0382 2477-3344 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj-art-a4b1b52f373e476ba95202dae5eff91c2025-08-20T03:48:30ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442024-05-019113815410.18860/ca.v9i1.257547828SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 DiseaseMuhamad Ali Misri0Khelan Hussien Qadr1Muhammad Avif Rahmatullah2UIN Siber Syekh Nurjati CirebonUniversity of SulaimaniUIN Siber Syekh Nurjati CirebonThe SARS-CoV-2 coronavirus can spread through contact with contaminated surfaces. The use of hand sanitizer is claimed to reduce the risk of transmission. For this reason, this study aims to develop a model of the spread of COVID-19 using the SEIR model with the use of hand sanitizer for infected individuals. The individual population is divided into six compartments, namely two compartments for susceptible individuals who using hand sanitizer and not, one compartment for exposed individuals, two compartments for infected individuals who using hand sanitizer and not, and one compartment for individuals died and recovered. The results obtained two equilibrium points: the disease-free and endemic equilibrium point, and also the basic reproduction number. The existence of a disease-free equilibrium point is unconditional, while the endemic there exist when the basic reproduction number is more than one. Stability analysis of the disease-free equilibrium point is locally asymptotic stable when the basic reproduction number is less than one. Numerical simulations carried out also strengthen them. Finally, the results of basic reproduction number sensitivity analysis show that the basic reproduction number is strongly influenced by contact of the susceptible individuals with exposed and infected individuals, neglecting of hand sanitizer use, mortality and cure rates.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/25754covid-19hand sanitizerseir modelbasic reproduction numberstability of equilibrium point |
| spellingShingle | Muhamad Ali Misri Khelan Hussien Qadr Muhammad Avif Rahmatullah SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 Disease Cauchy: Jurnal Matematika Murni dan Aplikasi covid-19 hand sanitizer seir model basic reproduction number stability of equilibrium point |
| title | SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 Disease |
| title_full | SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 Disease |
| title_fullStr | SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 Disease |
| title_full_unstemmed | SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 Disease |
| title_short | SEIR Mathematical Model with the Use of Hand Sanitizers to Prevent the Spread of Covid-19 Disease |
| title_sort | seir mathematical model with the use of hand sanitizers to prevent the spread of covid 19 disease |
| topic | covid-19 hand sanitizer seir model basic reproduction number stability of equilibrium point |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/25754 |
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