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Pregled bibliografske jedinice broj: 1208476

Analysis of Stability and Sensitivity of Deterministic and Stochastic Models for the Spread of the New Corona Virus SARS-CoV-2


Jovanović, Bojana; Đorđević, Jasmina; Manojlović, Jelena; Šuvak, Nenad
Analysis of Stability and Sensitivity of Deterministic and Stochastic Models for the Spread of the New Corona Virus SARS-CoV-2 // Filomat, 35 (2021), 3; 1045-1063 doi:10.2298/FIL2103045J (međunarodna recenzija, članak, znanstveni)


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Naslov
Analysis of Stability and Sensitivity of Deterministic and Stochastic Models for the Spread of the New Corona Virus SARS-CoV-2

Autori
Jovanović, Bojana ; Đorđević, Jasmina ; Manojlović, Jelena ; Šuvak, Nenad

Izvornik
Filomat (0354-5180) 35 (2021), 3; 1045-1063

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
SARS-CoV-2 virus epidemic model ; basic reproduction number ; disease-free equilibrium ; endemic equilibrium ; stability ; bifurcation ; stochastic differential equation (SDE) ; Brownian motion ; extinction ; persistence

Sažetak
Basic reproduction number for deterministic SEIPHAR model and its stochastic counterpart for the spread of SARS-CoV-2 virus are analyzed and compared. For deterministic version of the model, conditions for stability of the disease- free equilibrium are derived and, in addition, conditions for existence of bifurcation state related to endemic equilibrium are established. For stochastic model, conditions for extinction and persistence in mean of the disease are derived. Complete sensitivity analysis of thresholds between the extinction and mean- persistence are performed for both the deterministic and the stochastic version of the model. Influence of variation in parameter values is illustrated for epidemics in Wuhan in early 2020.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Nenad Šuvak (autor)

Poveznice na cjeloviti tekst rada:

doi www.pmf.ni.ac.rs

Citiraj ovu publikaciju:

Jovanović, Bojana; Đorđević, Jasmina; Manojlović, Jelena; Šuvak, Nenad
Analysis of Stability and Sensitivity of Deterministic and Stochastic Models for the Spread of the New Corona Virus SARS-CoV-2 // Filomat, 35 (2021), 3; 1045-1063 doi:10.2298/FIL2103045J (međunarodna recenzija, članak, znanstveni)
Jovanović, B., Đorđević, J., Manojlović, J. & Šuvak, N. (2021) Analysis of Stability and Sensitivity of Deterministic and Stochastic Models for the Spread of the New Corona Virus SARS-CoV-2. Filomat, 35 (3), 1045-1063 doi:10.2298/FIL2103045J.
@article{article, author = {Jovanovi\'{c}, Bojana and \DJor\djevi\'{c}, Jasmina and Manojlovi\'{c}, Jelena and \v{S}uvak, Nenad}, year = {2021}, pages = {1045-1063}, DOI = {10.2298/FIL2103045J}, keywords = {SARS-CoV-2 virus epidemic model, basic reproduction number, disease-free equilibrium, endemic equilibrium, stability, bifurcation, stochastic differential equation (SDE), Brownian motion, extinction, persistence}, journal = {Filomat}, doi = {10.2298/FIL2103045J}, volume = {35}, number = {3}, issn = {0354-5180}, title = {Analysis of Stability and Sensitivity of Deterministic and Stochastic Models for the Spread of the New Corona Virus SARS-CoV-2}, keyword = {SARS-CoV-2 virus epidemic model, basic reproduction number, disease-free equilibrium, endemic equilibrium, stability, bifurcation, stochastic differential equation (SDE), Brownian motion, extinction, persistence} }
@article{article, author = {Jovanovi\'{c}, Bojana and \DJor\djevi\'{c}, Jasmina and Manojlovi\'{c}, Jelena and \v{S}uvak, Nenad}, year = {2021}, pages = {1045-1063}, DOI = {10.2298/FIL2103045J}, keywords = {SARS-CoV-2 virus epidemic model, basic reproduction number, disease-free equilibrium, endemic equilibrium, stability, bifurcation, stochastic differential equation (SDE), Brownian motion, extinction, persistence}, journal = {Filomat}, doi = {10.2298/FIL2103045J}, volume = {35}, number = {3}, issn = {0354-5180}, title = {Analysis of Stability and Sensitivity of Deterministic and Stochastic Models for the Spread of the New Corona Virus SARS-CoV-2}, keyword = {SARS-CoV-2 virus epidemic model, basic reproduction number, disease-free equilibrium, endemic equilibrium, stability, bifurcation, stochastic differential equation (SDE), Brownian motion, extinction, persistence} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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