Infinite intervals in free lattices

We construct a model for the progress of the 2020 coronavirus epidemic in the United States of America, using probabilistic methods rather than the traditional compartmental model. We employ the generalized beta family of distributions, including those supported on bounded intervals and those supported on semi-infinite intervals. We compare the best-fit distributions for daily new cases and daily new deaths in America to the corresponding distributions for United Kingdom, Spain, and Italy. We explore how such a model might be justified theoretically in comparison to the apparently more natural compartmental model. We compare forecasts based on these models to observations, and find the forecasts useful in predicting total pandemic deaths.

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Boundary value problems for general discrete systems on infinite intervals

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(97)00044-8 ◽

1997 ◽

Vol 33 (7) ◽

pp. 85-99 ◽

Cited By ~ 9

Author(s):

R.P. Agarwal ◽

D. O'Regan

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Discrete Systems ◽

Infinite Intervals

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Existence and uniqueness for nonlinear boundary value problems on infinite intervals

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(90)90388-v ◽

1990 ◽

Vol 147 (1) ◽

pp. 122-133 ◽

Cited By ~ 72

Author(s):

John V. Baxley

Keyword(s):

Boundary Value Problems ◽

Existence And Uniqueness ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value ◽

Infinite Intervals

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A numerical method for linear Volterra integral equations on infinite intervals and its application to the resolution of metastatic tumor growth models

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.10.015 ◽

2021 ◽

Author(s):

M.C. De Bonis ◽

C. Laurita ◽

V. Sagaria

Keyword(s):

Tumor Growth ◽

Numerical Method ◽

Integral Equations ◽

Growth Models ◽

Metastatic Tumor ◽

Volterra Integral Equations ◽

Tumor Growth Models ◽

Infinite Intervals ◽

Linear Volterra Integral Equations

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Error estimates over infinite intervals of some discretizations of evolution equations

BIT Numerical Mathematics ◽

10.1007/bf01934901 ◽

1984 ◽

Vol 24 (4) ◽

pp. 413-424 ◽

Cited By ~ 11

Author(s):

O. Axelsson

Keyword(s):

Error Estimates ◽

Evolution Equations ◽

Infinite Intervals

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On the Existence of Positive Solutions for the Time-Scale Dynamic Equations on Infinite Intervals

Differential and Difference Equations with Applications - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-56323-3_1 ◽

2020 ◽

pp. 1-10

Author(s):

Abdulkadir Dogan

Keyword(s):

Positive Solutions ◽

Time Scale ◽

Dynamic Equations ◽

Existence Of Positive Solutions ◽

Infinite Intervals

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Existence of positive solutions for multi-point time scale boundary value problems on infinite intervals

Journal of Nonlinear Functional Analysis ◽

10.23952/jnfa.2017.45 ◽

2017 ◽

Vol 2017 (1) ◽

pp. 1-17

Author(s):

Mustafa Gunendi ◽

Ismail Yaslan

Keyword(s):

Boundary Value Problems ◽

Positive Solutions ◽

Time Scale ◽

Boundary Value ◽

Existence Of Positive Solutions ◽

Infinite Intervals

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Asymptotic Approximation of the Eigenvalues and the Eigenfunctions for the Orr-Sommerfeld Equation on Infinite Intervals

Advances in Pure Mathematics ◽

10.4236/apm.2019.912049 ◽

2019 ◽

Vol 09 (12) ◽

pp. 967-989

Author(s):

Victor Nijimbere

Keyword(s):

Asymptotic Approximation ◽

Infinite Intervals ◽

Sommerfeld Equation

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Product Integration Over Infinite Intervals I. Rules Based on the Zeros of Hermite Polynomials

Mathematics of Computation ◽

10.2307/2007528 ◽

1983 ◽

Vol 40 (162) ◽

pp. 519

Author(s):

William E. Smith ◽

Ian H. Sloan ◽

Alex H. Opie

Keyword(s):

Hermite Polynomials ◽

Product Integration ◽

Infinite Intervals

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WEIGHTED INTEGRAL INEQUALITIES OF OSTROWSKI, ČEBYŠEV AND LUPAŞ TYPE WITH APPLICATIONS

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972718000801 ◽

2018 ◽

Vol 98 (3) ◽

pp. 439-447

Author(s):

SILVESTRU SEVER DRAGOMIR

Keyword(s):

Probability Density ◽

Probability Density Functions ◽

Integral Inequalities ◽

Density Functions ◽

Weighted Integral ◽

Infinite Intervals

We establish some weighted integral inequalities of Ostrowski, Čebyšev and Lupaş type and give applications for continuous probability density functions supported on infinite intervals.

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