Mathematical model for the propagation of COVID-19 in the Brazilian population with the insertion of the vaccine against disease Article Swipe
The application of vaccination campaigns against epidemiological diseases is of immense importance for its control and eradication, mainly due to the high rate of infection and mortality from these diseases. This work aims to present two mathematical models of the transmission process of COVID-19, with and without the vaccine against the disease, for systematic analysis of the best scenario. In both models, only the temporal evolution of the process is considered, thus having a mathematical model described by a system of Ordinary Differential Equations (ODEs). To obtain the numerical results, the Finite Regressive Differences Method is used to determine the period of collective immunity and the impact of the vaccine on the Brazilian population. During the work, we emphasized the importance of investments in the manufacture of medicines and vaccines, and vaccination campaigns against the disease.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- http://www.ojs.unirg.edu.br/index.php/1/article/download/3380/1760
- OA Status
- green
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W3167133582
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3167133582Canonical identifier for this work in OpenAlex
- Title
-
Mathematical model for the propagation of COVID-19 in the Brazilian population with the insertion of the vaccine against diseaseWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-04-01Full publication date if available
- Authors
-
Thays Rocha, Elaine Bernine, Fábio BorgesList of authors in order
- Landing page
-
https://www.ojs.unirg.edu.br/index.php/1/article/download/3380/1760Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://www.ojs.unirg.edu.br/index.php/1/article/download/3380/1760Direct OA link when available
- Concepts
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Mathematical modelling of infectious disease, Vaccination, Ordinary differential equation, Population, Coronavirus disease 2019 (COVID-19), Epidemic model, Disease, Ode, Mathematical model, Transmission (telecommunications), Epidemiology, Medicine, Econometrics, Mathematics, Computer science, Virology, Applied mathematics, Environmental health, Differential equation, Statistics, Infectious disease (medical specialty), Internal medicine, Mathematical analysis, Pathology, TelecommunicationsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.immunity | 103 |
| abstract_inverted_index.results, | 89 |
| abstract_inverted_index.temporal | 64 |
| abstract_inverted_index.Brazilian | 112 |
| abstract_inverted_index.COVID-19, | 43 |
| abstract_inverted_index.Equations | 83 |
| abstract_inverted_index.campaigns | 4, 132 |
| abstract_inverted_index.described | 76 |
| abstract_inverted_index.determine | 98 |
| abstract_inverted_index.diseases. | 29 |
| abstract_inverted_index.evolution | 65 |
| abstract_inverted_index.infection | 24 |
| abstract_inverted_index.medicines | 127 |
| abstract_inverted_index.mortality | 26 |
| abstract_inverted_index.numerical | 88 |
| abstract_inverted_index.scenario. | 58 |
| abstract_inverted_index.vaccines, | 129 |
| abstract_inverted_index.Regressive | 92 |
| abstract_inverted_index.collective | 102 |
| abstract_inverted_index.emphasized | 118 |
| abstract_inverted_index.importance | 11, 120 |
| abstract_inverted_index.systematic | 53 |
| abstract_inverted_index.Differences | 93 |
| abstract_inverted_index.application | 1 |
| abstract_inverted_index.considered, | 70 |
| abstract_inverted_index.investments | 122 |
| abstract_inverted_index.manufacture | 125 |
| abstract_inverted_index.population. | 113 |
| abstract_inverted_index.vaccination | 3, 131 |
| abstract_inverted_index.Differential | 82 |
| abstract_inverted_index.eradication, | 16 |
| abstract_inverted_index.mathematical | 36, 74 |
| abstract_inverted_index.transmission | 40 |
| abstract_inverted_index.epidemiological | 6 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/3 |
| sustainable_development_goals[0].score | 0.7099999785423279 |
| sustainable_development_goals[0].display_name | Good health and well-being |
| citation_normalized_percentile.value | 0.05678394 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |