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Sensitivity analysis and global stability of epidemic between Thais and tourists for Covid -19
by
Sungchasit, Rattiya
, Tang, I.-Ming
, Pongsumpun, Puntani
in
639/705/1041
/ 639/705/1042
/ 692/699
/ Basic Reproduction Number
/ Coronaviruses
/ COVID-19
/ COVID-19 - epidemiology
/ COVID-19 - transmission
/ COVID-19 - virology
/ Differential equations
/ Disease control
/ Disease transmission
/ Epidemics
/ Equilibrium
/ Humanities and Social Sciences
/ Humans
/ Mathematical models
/ Models, Theoretical
/ multidisciplinary
/ Quarantine
/ SARS-CoV-2 - isolation & purification
/ Science
/ Science (multidisciplinary)
/ Sensitivity analysis
/ Severe acute respiratory syndrome coronavirus 2
/ Thailand - epidemiology
/ Tourism
/ Tourists
/ Travel
2024
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Sensitivity analysis and global stability of epidemic between Thais and tourists for Covid -19
by
Sungchasit, Rattiya
, Tang, I.-Ming
, Pongsumpun, Puntani
in
639/705/1041
/ 639/705/1042
/ 692/699
/ Basic Reproduction Number
/ Coronaviruses
/ COVID-19
/ COVID-19 - epidemiology
/ COVID-19 - transmission
/ COVID-19 - virology
/ Differential equations
/ Disease control
/ Disease transmission
/ Epidemics
/ Equilibrium
/ Humanities and Social Sciences
/ Humans
/ Mathematical models
/ Models, Theoretical
/ multidisciplinary
/ Quarantine
/ SARS-CoV-2 - isolation & purification
/ Science
/ Science (multidisciplinary)
/ Sensitivity analysis
/ Severe acute respiratory syndrome coronavirus 2
/ Thailand - epidemiology
/ Tourism
/ Tourists
/ Travel
2024
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Sensitivity analysis and global stability of epidemic between Thais and tourists for Covid -19
by
Sungchasit, Rattiya
, Tang, I.-Ming
, Pongsumpun, Puntani
in
639/705/1041
/ 639/705/1042
/ 692/699
/ Basic Reproduction Number
/ Coronaviruses
/ COVID-19
/ COVID-19 - epidemiology
/ COVID-19 - transmission
/ COVID-19 - virology
/ Differential equations
/ Disease control
/ Disease transmission
/ Epidemics
/ Equilibrium
/ Humanities and Social Sciences
/ Humans
/ Mathematical models
/ Models, Theoretical
/ multidisciplinary
/ Quarantine
/ SARS-CoV-2 - isolation & purification
/ Science
/ Science (multidisciplinary)
/ Sensitivity analysis
/ Severe acute respiratory syndrome coronavirus 2
/ Thailand - epidemiology
/ Tourism
/ Tourists
/ Travel
2024
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Sensitivity analysis and global stability of epidemic between Thais and tourists for Covid -19
Journal Article
Sensitivity analysis and global stability of epidemic between Thais and tourists for Covid -19
2024
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Overview
This study employs a mathematical model to analyze and forecast the severe outbreak of SARS-CoV-2 (Severe Acute Respiratory Syndrome Coronavirus 2), focusing on the socio-economic ramifications within the Thai population and among foreign tourists. Specifically, the model examines the impact of the disease on various population groups, including susceptible (S), exposed (E), infected (I), quarantined (Q), and recovered (R) individuals among tourists visiting the country. The stability theory of differential equations is utilized to validate the mathematical model. This involves assessing the stability of both the disease-free equilibrium and the endemic equilibrium using the basic reproduction number. Emphasis is placed on local stability, the positivity of solutions, and the invariant regions of solutions. Additionally, a sensitivity analysis of the model is conducted. The computation of the basic reproduction number (R0) reveals that the disease-free equilibrium is locally asymptotically stable when R0 is less than 1, whereas the endemic equilibrium is locally asymptotically stable when R0 exceeds 1. Notably, both equilibriums are globally asymptotically stable under the same conditions. Through numerical simulations, the study concludes that the outcome of COVID-19 is most sensitive to reductions in transmission rates. Furthermore, the sensitivity of the model to all parameters is thoroughly considered, informing strategies for disease control through various intervention measures.
Publisher
Nature Publishing Group UK,Nature Publishing Group,Nature Portfolio
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