
3150SItsABlastFurnace
13 Aug 2019   Contributor(s):: Kurt Bryan
This project uses the steadystate heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steadystate, so that only an elementary ordinary differential equation (ODE) is needed, and...

2008LiDE Models For Interacting and Transgenic Mosquito Populations
21 Jun 2019   Contributor(s):: Jai Li
Article Review and AnnotationLi, Jai. 2008. Differential equations models for interacting wild and transgenic mosquito populations. Journal of Biological Dynamics. 2(3): 241258.Abstract: We formulate and study continuoustime models, based on systems of ordinary differential...

5005TextSStiffDifferentialEquations
05 Mar 2019   Contributor(s):: Kurt Bryan
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples.Stiffness is a property that a system of ODE's may possess that make it difficult to solve numerically with standard methods, and it is a...

1143SPopulationModelVariationsMATLAB
17 Feb 2019   Contributor(s):: Bill Skerbitz
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations. They will also work with other utilities...

1141SM&MGameRevisited
27 Aug 2018   Contributor(s):: Mehdi HakimHashemi
In this project students will learn to find a probability distribution using the classical M&M game in SIMIODE.

2017SuebcharoenPredatorPreyModelWithSwitchingForPredator
07 Mar 2018   Contributor(s):: T. Suebchareon
Suebcharoen, T. 2017. Analysis of a PredatorPrey Model with Switching and StageStructure 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...

2009Das EtAl BioeconomicHarvestingJBioDynamics
03 Mar 2018   Contributor(s):: Tapasi Das
Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a prepredator fishery. Journal of Biological Dynamics. 3(5): 447462.Abstract: This paper deals with the problem of nonselective harvesting of a prey–predator system by using a reasonable catchrate...

2014EastonMathModelsOfHealthFocusingOnDiabetesDelayDEAndDataMining
28 Nov 2017   Contributor(s):: Brian Winkel
Easton, Jonathan. 2015. Mathematical models of health focusing on diabetes: Delay differential equations and data mining . PhD Thesis. Northumbria University Newcastle. http://nrl.northumbria.ac.uk/23582/. Accessed 27 November 2017.Abstract: Mathematical models have been applied to...

2006LoydWodarz Drug Resistance in Acute Viral Infections
18 Sep 2017   Contributor(s):: Brian Winkel
Loyd, Alun L. and Dominik Wodarz. 2006. Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study. Preprint. 21 pp. http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract: The emergence and spread of drug...

2014DoEtAlDifferential Equation Model for the Dynamics of Youth Gambling
12 Sep 2017   Contributor(s):: Brian Winkel
Do, Tae Sug and Young S. Lee. 2014. A Differential Equation Model for the Dynamics of Youth Gambling. Osong Public Health Res Perspect. 2014 Aug; 5(4): 233–241.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4215004/ . Accessed 11 September 2017.Objectives: We examine the dynamics...

2011WentworthEtAlOptimal harvesting models for fishery populations
12 Sep 2017   Contributor(s):: Brian Winkel
Wentworth, Corinne, Masami Fujiwara, and Jay Walton. 2011. Optimal harvesting models for fishery populations. REU paper. 17 pp.Abstract. Fishery management is the consideration of the ecological effects of harvesting. Fisherman work to provide fish for a growing human population but...

2008SuriOptimal harvesting strategies for fisheries
12 Sep 2017   Contributor(s):: Brian Winkel
Suri, Ratneesh2008Optimal harvesting strategies for fisheries: a differential equations approach. PhD Thesis. 209 pp.This thesis considers how we might optimally harvest using logistic model with constant harvest to determine maximum sustainable yield and optimal economic...

2015SebestyenFaragoInvasive species model with liner rat harvesting on Easter Island
12 Sep 2017   Contributor(s):: Brian Winkel
Sebesyen, G. S. and I Farago. 2015. Invasive Species Model with Linear Rat Harvesting on Easter Island. J Appl Computat Math. 4(6): 16.From the paper we quote:The history of the civilization on Easter Island has long interested archaeologists. The Easter Island is located in the Pacific...

2015EastonMathematical models of health focusing on diabetes
11 Sep 2017   Contributor(s):: Brian Winkel
Easton, Jonathan. 2015. Mathematical models of health focusing on diabetes: Delay differential equations and data mining. Doctoral thesis, 186 pp. Northumbria University. http://nrl.northumbria.ac.uk/23582/ . Accessed 10 September 2017.This is an exhaustive study with very good...

2012MisraMathematics Model for the Spread of Two Political Parties
11 Sep 2017   Contributor(s):: Brian Winkel
Misra, Arvind Kumar. 2012. A simple mathematical model for the spread of two political parties. Nonlinear Analysis: Modelling and Control. 17(3): 343–354.Abstract. In this paper, a nonlinear mathematical model for the spread of two political parties has been proposed and...

Hundley Local Linear Analysis of Nonlinear Autonomous DEs
10 Sep 2017   Contributor(s):: Brian Winkel
Hundley, D. Local Linear Analysis of Nonlinear Autonomous DEs. Notes. 4 pp.. http://people.whitman.edu/~hundledr/courses/M244S14/M244/LinearizationNote.pdf .Accessed 10 September 2017.Thorough and very readable material on linearization issues with rich examples (geometric) and...

2014Bozkurt Peker Mathematical modelling of HIV epidemic and stability analysis
10 Sep 2017   Contributor(s):: Brian Winkel
Bozkurt, Fatma and Fatma Peker. 2014. Mathematical modelling of HIV epidemic and stability analysis. Advances in Difference Equations. 95 http://www.advancesindifferenceequations.com/content/2014/1/95 . Accessed 10 September 2017.Abstract: A nonlinear mathematical model of differential...

2011BarbarossaDelay models for cancer and tumor growth
10 Sep 2017   Contributor(s):: Brian Winkel
Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint. 81 slides.From the slides:Background: Delay Equations Ordinary vs. Delay Differential Equations Applications in Biology Stability Analysis for...

2005HowardModeling with Differential Equations
10 Sep 2017   Contributor(s):: Brian Winkel
Howard P. 2005. Modeling with ODE. Notes. 48 pp.Great exposition and lots of Modeling Scenarios almost laid out completely as exercises.From the textOverviewA wide variety of natural phenomena such as projectile motion, the flow of electric current, and the progression of chemical reactions are...

2011ShibberuDEClassNotes
09 Sep 2017   Contributor(s):: Brian Winkel
Shibberu, Yosi. 2011. MA211 Differential Equations. Class Notes. PowerPoint. 426 slides. https://www.rosehulman.edu/~shibberu/MA211/Slides.pdf . Accessed 1 September 2017 This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...