Results 11 to 20 of about 227,477 (267)
3D Differential Equation Model for Patients' Choice of Hospital in China [PDF]
The number of patients in a hospital is a direct indicator of patients' choice of hospital, which is a complex process affected by many factors. Based on the national medical system and patients' preference for high-grade hospitals in China, this study ...
Xiaoxia Zhao, Lihong Jiang, Kaihong Zhao
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A Stochastic Differential Equation SIS Epidemic Model [PDF]
In this paper we extend the classical susceptible-infected-susceptible epidemic model from a deterministic framework to a stochastic one and formulate it as a stochastic differential equation (SDE) for the number of infectious individuals $I(t)$. We then prove that this SDE has a unique global positive solution $I(t)$ and establish conditions for ...
Gray, Alison +4 more
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Multiscale Modeling with Differential Equations
40 pages, 20 figures, to be published as a book chapter in a SIAM ...
Clarissa Astuto, Giovanni Russo 0001
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On a New Class of Singular Integro-differential Equations
In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
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ON ONE MODEL INTEGRAL-DIFFERENTIAL BERNULL EQUATION [PDF]
The model integro-differential Bernlulli equation is considered in the paper. This equation was reduced to a differential equation with derivatives of fractional orders and solved numerically with the help of Newton’s iteration method.
Myshkin S.V.
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Van der Pol model in two-delay differential equation representation
The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
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Modeling Cholera Epidemiology Using Stochastic Differential Equations
In this study, we extend Codeço’s classical SI-B epidemic and endemic model from a deterministic framework into a stochastic framework. Then, we formulated it as a stochastic differential equation for the number of infectious individuals It under the ...
Wahab A. Iddrisu +2 more
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Approximate Analytic Solution to the Three Species Lotka – Volterra Differential Equation Model
This paper provides an approximate analytic solution to the three species Lotka – Volterra differential equations by symbolic regression. The approximate analytic solution through symbolic regression is made as close as desired to the actual analytic ...
Dionisel Y. Regalado
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MODELING GENE EXPRESSION WITH DIFFERENTIAL EQUATIONS [PDF]
We propose a differential equation model for gene expression and provide two methods to construct the model from a set of temporal data. We model both transcription and translation by kinetic equations with feedback loops from translation products to transcription. Degradation of proteins and mRNAs is also incorporated.
Ting Chen +2 more
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Restoration of native oyster (Crassostrea virginica) populations in Chesapeake Bay shows great promise after three decades of failed attempts. Population models used to inform oyster restoration had integrated reef habitat quality, demonstrating that ...
Romuald N. Lipcius +4 more
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