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  1. Article: Accurate closed-form solution of the SIR epidemic model.

    Barlow, Nathaniel S / Weinstein, Steven J

    Physica D. Nonlinear phenomena

    2020  Volume 408, Page(s) 132540

    Abstract: An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing the divergent power series solution such that it matches the long- ... ...

    Abstract An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
    Keywords covid19
    Language English
    Publishing date 2020-04-29
    Publishing country Netherlands
    Document type Journal Article
    ZDB-ID 1466587-6
    ISSN 1872-8022 ; 0167-2789
    ISSN (online) 1872-8022
    ISSN 0167-2789
    DOI 10.1016/j.physd.2020.132540
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. Article: Accurate closed-form solution of the SIR epidemic model

    Barlow, Nathaniel S / Weinstein, Steven J

    Physica D

    Abstract: An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing the divergent power series solution such that it matches the long- ... ...

    Abstract An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #177245
    Database COVID19

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  3. Book ; Online: Accurate closed-form solution of the SIR epidemic model

    Barlow, Nathaniel S. / Weinstein, Steven J.

    2020  

    Abstract: An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48). The solution is created by analytically continuing the divergent power series ... ...

    Abstract An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.

    Comment: Updates: Fixed a typo in previous version's equation 6c. Included link to Python code
    Keywords Quantitative Biology - Populations and Evolution ; Physics - Physics and Society ; covid19
    Publishing date 2020-04-16
    Publishing country us
    Document type Book ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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  4. Article: Analytic solution of the SEIR epidemic model via asymptotic approximant.

    Weinstein, Steven J / Holland, Morgan S / Rogers, Kelly E / Barlow, Nathaniel S

    Physica D. Nonlinear phenomena

    2020  Volume 411, Page(s) 132633

    Abstract: An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation ... ...

    Abstract An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in
    Keywords covid19
    Language English
    Publishing date 2020-06-25
    Publishing country Netherlands
    Document type Journal Article
    ZDB-ID 1466587-6
    ISSN 1872-8022 ; 0167-2789
    ISSN (online) 1872-8022
    ISSN 0167-2789
    DOI 10.1016/j.physd.2020.132633
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  5. Article: Analytic solution of the SEIR epidemic model via asymptotic approximant

    Weinstein, Steven J. / Holland, Morgan S. / Rogers, Kelly E. / Barlow, Nathaniel S.

    Phys D Nonlinear Phenom

    Abstract: An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in lnS and analytically continuing its divergent power series solution such that it matches the ... ...

    Abstract An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in lnS and analytically continuing its divergent power series solution such that it matches the correct long-time exponential damping of the epidemic model. This is achieved through an asymptotic approximant (Barlow et al., 2017) in the form of a modified symmetric Padé approximant that incorporates this damping. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
    Keywords covid19
    Publisher WHO
    Document type Article
    Note WHO #Covidence: #613723
    Database COVID19

    Kategorien

    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  6. Book ; Online: Analytic solution of the SEIR epidemic model via asymptotic approximant

    Weinstein, Steven J. / Holland, Morgan S. / Rogers, Kelly E. / Barlow, Nathaniel S.

    2020  

    Abstract: An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in $\ln S$ and analytically continuing its divergent power series solution such that it matches the ...

    Abstract An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in $\ln S$ and analytically continuing its divergent power series solution such that it matches the correct long-time exponential damping of the epidemic model. This is achieved through an asymptotic approximant (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48) in the form of a modified symmetric Pad\'e approximant that incorporates this damping. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.

    Comment: original version had substantial text overlap with arXiv:2004.07833; this is now less so
    Keywords Quantitative Biology - Populations and Evolution ; Physics - Physics and Society ; covid19
    Publishing date 2020-06-12
    Publishing country us
    Document type Book ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

    Full text online

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    Inter-library loan at ZB MED

    Your chosen title can be delivered directly to ZB MED Cologne location if you are registered as a user at ZB MED Cologne.

  7. Article ; Online: Communication: Analytic continuation of the virial series through the critical point using parametric approximants.

    Barlow, Nathaniel S / Schultz, Andrew J / Weinstein, Steven J / Kofke, David A

    The Journal of chemical physics

    2015  Volume 143, Issue 7, Page(s) 71103

    Abstract: The mathematical structure imposed by the thermodynamic critical point motivates an approximant that synthesizes two theoretically sound equations of state: the parametric and the virial. The former is constructed to describe the critical region, ... ...

    Abstract The mathematical structure imposed by the thermodynamic critical point motivates an approximant that synthesizes two theoretically sound equations of state: the parametric and the virial. The former is constructed to describe the critical region, incorporating all scaling laws; the latter is an expansion about zero density, developed from molecular considerations. The approximant is shown to yield an equation of state capable of accurately describing properties over a large portion of the thermodynamic parameter space, far greater than that covered by each treatment alone.
    Language English
    Publishing date 2015-08-21
    Publishing country United States
    Document type Journal Article
    ZDB-ID 3113-6
    ISSN 1089-7690 ; 0021-9606
    ISSN (online) 1089-7690
    ISSN 0021-9606
    DOI 10.1063/1.4929392
    Database MEDical Literature Analysis and Retrieval System OnLINE

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    In stock of ZB MED Bonn / Germany

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