-
2015-Yrogovchenko-ModelingAlcoholConsumption - PowerPoint
16 Dec 2018 | Contributor(s):: Brian Winkel
Article Review and AnnotationRagovchenko, Yuriy. 2015. Dull, dizzy, or dead: Models of Alcohol Consumption in Undergraduate Teaching. Presented in Brno NORWAY. 7 December 201. Power Point Presentation.This PowerPoint presentation has lots of basic data on laws, levels of alcohol, and...
-
2008-Will-Hansen-ExamplesOfODEsInPhysics
09 Dec 2018 | Contributor(s):: Brian Winkel
Witt-Hansen, Ole. 2008. Examples of the Differential equations of Physics. www.olewitthansen.dk. Contents1. The dependence of pressure with altitude.............................................................................. 12. Radioaktive chains of decay...
-
2013-Gonzalez-Parra-Arenas- A Mathematical Model for Social Security Systems with Dynamical Systems
09 Dec 2018 | Contributor(s):: Brian Winkel
Gonzalez-Parra, Gilberto and Abraham J. Arenas. 2014. Ingeniería y Ciencia. 10(19): 1-11.Abstract: In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the...
-
2017-Bonin EtAl - Math Modeling Based on ODE for Vaccinology
09 Dec 2018 | Contributor(s):: Brian Winkel
Bonin, C.R.B. Et al. 2017. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology. Human Vaccines and Immunotherapy. 13(2): 484–489.Abtract: New contributions that aim to accelerate the development or to improve the efficacy and safety of...
-
2004-PhoebusReily-TheParachuteProblem
09 Dec 2018 | Contributor(s):: Brian Winkel
Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004. https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf .Abstract: The parachute problem is a classical first semester differential equations problem...
-
1987-Rodin-Murthy-ComparativeEvalOfMathModelingBooks
09 Dec 2018 | Contributor(s):: Brian Winkel
Murthy, D. N. P. and E. Y. Rodin. 1987. A comparative evaluation of books on mathematical modeling. Mathematical Modeling. 9(1): 17-28.Abstract: In this paper we present a comparative evaluation of books on mathematical modelling that have appeared in the last 1.5 years.While dated this gives...
-
1986-Cooke-Linear And Logistic Harvesting Models-Math Modeling Journal
09 Dec 2018 | Contributor(s):: Brian Winkel
Cook, K. L. and M. Witten. 1986. One-dimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301-340.Abstract: Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed. Both...
-
2015-ZhangEtAl-Predator Prey Models
02 Sep 2018 | Contributor(s):: Brian Winkel
Article Review and AnnotationZhang, Xinyu Jiguo Cao, and Raymond J. Carroll. 2015On the Selection of Ordinary Differential Equation Models with Application to Predator-Prey Dynamical Models. Biometrics 71: 131–138Abstract: We consider model selection and estimation in a context where...
-
2008-YangEtAl-A Differential Equation Model of HIV Infection of CD T-Cells with Delay
02 Sep 2018 | Contributor(s):: Brian Winkel
Yang, Junyuan , Xiaoyan Wang, and Fengqin Zhang. 2008. A Differential Equation Model of HIV Infection of CD T-Cells with DelayAbstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a...
-
1984-Hays-CompartmentModelsForHumanIodineMetabolism
07 Mar 2018 | Contributor(s):: Marguerite Hays
Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical Biosciences. 73: 317-335.ABSTRACT: Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field. The review...
-
2017-Agmour EtAl-OptimizationofFishermenProfitsExploitingCompetingSpecies
07 Mar 2018 | Contributor(s):: Imane Agmour, Meriem Bentounsi, Naceur Achtaich, Youssef El Foutayeni
Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. Volume 2017, Article ID 3157294, 17...
-
2017-Allali-MathModelingOfAdaptiveImmunieResponses-HBVInfection
07 Mar 2018 | Contributor(s):: Karam Allali, Adil Meskaf, Abdessamad Tridane
Karam Allali, Adil Meskaf, and Abdessamad Tridane. 2018. Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection. International Journal of Differential Equations. Volume 2017, Article ID 6710575, 13 pagesThis is an open access article distributed under the...
-
2017-Suebcharoen-PredatorPreyModelWithSwitchingForPredator
07 Mar 2018 | Contributor(s):: T. Suebchareon
Suebcharoen, T. 2017. Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11 pages.This is an open access article distributed under the Creative Commons Attribution License, which...
-
2017-Rumbos-DifferentialEquaitonsANDModeling-LectureNotes
03 Mar 2018 | Contributor(s):: Adolfo J. Rumbos
Rumbos, Adolfo J. 2017. Differential Equations and modeling. Lecture Notes. 129 pp.From the PrefaceDifferential equations are ubiquitous in the sciences. The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities...
-
FirstOrderModels
03 Mar 2018 | Contributor(s):: Unknown
Modeling with First Order EquationsMathematical models characterize physical systems, often using differential equations.Model Construction: Translating physical situation into mathematical terms. Clearly state physical principlesbelieved to govern process. Differential equation is a...
-
LeakingBucket: Differential Equations in Engineering
03 Mar 2018 | Contributor(s):: Unknown
Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.From the Text:7.1 Laboratory ObjectiveThe objective of this laboratory is to learn about first order differential equations and theirapplication to a leaking bucket. 7.2 Educational ObjectivesAfter...
-
The Logistic Differential Equation
03 Mar 2018
The Logistic Differential Equation. Notes. 7 pp.Goals from the notes:• MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .• MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometricallyand...
-
2016-Camporesi-Impulsive response method using factorization.
03 Mar 2018 | Contributor(s):: Roberto Camporesi
Camporesi, Roberto. 2016. A fresh look at linear ordinary differential equations with constant coefficients. Revisiting theimpulsive response method using factorization. Int. J. Math. Educ. Sci. Technol. 47(1): 82-99Summary: We present an approach to the impulsive response method for solving...
-
2015-Sivakumar-Rajendran-KineticModel-BananaWaste
03 Mar 2018 | Contributor(s):: Pavithra Sivakumar, Lakshmanan Rajendran
Sivakumar, Pavithra and Lakshmanan Rajendran. 2012. Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste. Applied Mathematics. 5(1): 7-14.Abstract: The initial value problem in a kinetic model for biogas generation from...
-
2007-Bellomo EtAl-LectureNotes-MathModelingInAppliedScience
03 Mar 2018 | Contributor(s):: Nicola Bellomo
Bellomo, Nicola , Elena De Angelis, and Marcello Delitala. 2007. Lecture Notes on Mathematical Modelling in Applied Sciences, Lecture Notes. 168 pp.From the Opening of the Notes:The Lecture Notes collected in this book refer to a university course delivered at the Politecnico of Torino to...