
1136SMarriageAge
11 Jun 2020   Contributor(s):: Tracy Weyand
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are firstorder ordinary differential equations (which...

6045SCholeraTranmission
19 Apr 2020   Contributor(s):: Urmi GhoshDastidar
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

2011Yafia, Radouane  A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System.
04 Apr 2020   Contributor(s):: Brian Winkel
Yafia, Radouane. 2011. A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System. International Journal of Biomathematics. 4(2): 185206.See https://www.worldscientific.com/doi/10.1142/S1793524511001404 .Abstract: In this paper, we...

2018Brinks, Ralph  IllnessDeath Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem.
29 Mar 2020   Contributor(s):: Brian Winkel
Brinks, Ralph. 2018. IllnessDeath Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018, Article ID 5091096. 6...

2013Pescitelli, Monica  Lotka Volterra PredatorPrey Model with a Predating Scavenger. Capstone project
29 Mar 2020   Contributor(s):: Brian Winkel
2013PescitelliLotkaVolterraPredatorPreyWithPredatingScavengerPescitelli, Monica. 2013. Lotka Volterra PredatorPrey Model with a Predating ScavengerAbstract: The classic Lotka Volterra equations are used to model the population dynamicsbetween two species: a predator and...

2015Wester, Thomas  Analysis and Simulation of a Mathematical Model of Ebola Virus Dynamics in vivo. Undergraduate thesis.
27 Mar 2020   Contributor(s):: Brian Winkel
Wester, Thomas. 2015. Analysis and Simulation of a Mathematical Model of Ebola Virus Dynamics in vivo. Undergraduate thesis. U.S. Naval Academy, Annapolis MD USA. 21 pp.Abstract: Ebola is known to evade detection by the immune system during infection. In this...

2018Kovacs, Balazs A. and Tamas Insperger  Retarded, neutral and advanced differential equation models for balancing using an accelerometer.
25 Mar 2020   Contributor(s):: Brian Winkel
Kovacs, Balazs A. and Tamas Insperger. 2018. Retarded, neutral and advanced differential equation models for balancing using an accelerometer. Int. J. Dynam. Control. 6: 694–706.See ...

2007Altafini, Claudio. 2007. ODEs models in Systems Biology. Lecture 5 & 6 SISSA. Presentation. 27 slides.
20 Mar 2020   Contributor(s):: Brian Winkel
Altafini, Claudio. 2007. ODEs models in Systems Biology. Lecture 5 & 6 SISSA. Presentation. 27 slides. From Opening Slide Systems Biology = investigates function of genetic, molecular and cellular processes in a systematic way: *making (biologically relevant) sense out of...

2012Ehrke, John. 2012. Second Order Equations, Three Cases. Presentation.
20 Mar 2020   Contributor(s):: Brian Winkel
Ehrke, John. 2012. Second Order Equations, Three Cases. Presentation. 17 slides. Presentation on the three possible cases corresponding to possible eigenvalues from characteristic equation. nic and concise.

1998Louie, K. H. Clark, and P. C. D. Newton  Analysis of differential equation models in biology: a case study for clover meristem populations.
12 Mar 2020   Contributor(s):: Brian Winkel
Louie, K. H. Clark, and P. C. D. Newton. 1998. Analysis of differential equation models in biology: a case study for clover meristem populations. New Zealand Journal of Agricultural Research. Vol. 41: 567576.See https://www.tandfonline.com/doi/abs/10.1080/00288233.1998.9513340...

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...

2008Li, Jai  Differential equations models for interacting wild and transgenic mosquito populations
21 Jun 2019   Contributor(s):: Jai Li
Li, Jai. 2008. Differential equations models for interacting wild and transgenic mosquito populations. Journal of Biological Dynamics. 2(3): 241258.See https://www.tandfonline.com/doi/full/10.1080/17513750701779633 .Abstract: We formulate and study continuoustime models,...

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.

2017Suebcharoen, T.  Analysis of a PredatorPrey Model with Switching and StageStructure for Predator.
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...

2009Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur  Bioeconomic harvesting of a prepredator fishery.
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.See https://pubmed.ncbi.nlm.nih.gov/22880894/ . Abstract: This paper deals with the problem of nonselective harvesting of a...

2014Easton, Jonathan  Mathematical models of health focusing on diabetes: Delay differential equations and data mining. PhD Thesis.
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.See http://nrl.northumbria.ac.uk/23582/. Accessed 27 November 2017.Abstract: Mathematical models have...

2006Loyd, Alun L. and Dominik Wodarz  Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study.
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.See http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract: The emergence and spread...

2014Do, Tae Sug and Young S. Lee  A Differential 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.See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4215004/ . Accessed 11 September 2017.Objectives: We examine the...