A Mathematical Model for Analyzing the Behavior of COVID-19 in Dominican Republic

In this paper a mathematical model is constructed and theoretically examined to analyze the transmission mechanism of COVID-19 in the Dominican Republic. The mathematical model is represented by 8 states, called SEPaIATRISV. The main mathematical properties of the model have been proved, such as the non-negativity of the solutions, as well as the existence and uniqueness of the solution. In addition, the equilibrium points were determined as well as the control number Rc and the basic reproduction number, R0. Finally, the sensitivity analysis and numerical simulations of the model were performed.

Authors

Publication Details

Journal
Journal of Advances in Mathematics and Computer Science
Published
2025-04-28
DOI
https://doi.org/10.9734/jamcs/2025/v40i51999
Primary Topic
COVID-19 epidemiological studies
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A Mathematical Model for Analyzing the Behavior of COVID-19 in Dominican Republic

Diana Gómez, Pablo Martinez Sosa, José Manuel Gutiérrez, M. A Dilone
Journal of Advances in Mathematics and Computer Science
COVID-19 epidemiological studies
article

A Mathematical Model for Analyzing the Behavior of COVID-19 in Dominican Republic

Diana Gómez, Pablo Martinez Sosa, José Manuel Gutiérrez, M. A Dilone
article en

Abstract

In this paper a mathematical model is constructed and theoretically examined to analyze the transmission mechanism of COVID-19 in the Dominican Republic. The mathematical model is represented by 8 states, called SEPaIATRISV. The main mathematical properties of the model have been proved, such as the non-negativity of the solutions, as well as the existence and uniqueness of the solution. In addition, the equilibrium points were determined as well as the control number Rc and the basic reproduction number, R0. Finally, the sensitivity analysis and numerical simulations of the model were performed.

Journal of Advances in Mathematics and Computer ScienceVol. 40(5)
Openalex Percentile: Top 90%
COVID-19 epidemiological studies
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.