Tags: stability

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  1. 1-136-S-MarriageAge

    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 first-order ordinary differential equations (which...

  2. 6-045-S-CholeraTranmission

    19 Apr 2020 | | Contributor(s):: Urmi Ghosh-Dastidar

    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...

  3. 2011-Yafia, 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):  185-206.See https://www.worldscientific.com/doi/10.1142/S1793524511001404 .Abstract: In this paper, we...

  4. 2018-Brinks, Ralph - Illness-Death 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. Illness-Death 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...

  5. 2013-Pescitelli, Monica - Lotka Volterra Predator-Prey Model with a Predating Scavenger. Capstone project

    29 Mar 2020 | | Contributor(s):: Brian Winkel

    2013-Pescitelli-LotkaVolterraPredator-Prey-WithPredatingScavengerPescitelli, Monica. 2013. Lotka Volterra Predator-Prey Model with a Predating ScavengerAbstract: The classic Lotka Volterra equations are used to model the population dynamicsbetween two species: a predator and...

  6. 2015-Wester, 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...

  7. 2018-Kovacs, 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 ...

  8. 2007-Altafini, 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...

  9. 2012-Ehrke, 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.

  10. 1998-Louie, 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: 567-576.See https://www.tandfonline.com/doi/abs/10.1080/00288233.1998.9513340...

  11. 3-150-S-ItsABlastFurnace

    13 Aug 2019 | | Contributor(s):: Kurt Bryan

    This project uses the steady-state 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 steady-state, so that only an elementary ordinary differential equation (ODE) is needed, and...

  12. 2008-Li, 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): 241-258.See https://www.tandfonline.com/doi/full/10.1080/17513750701779633 .Abstract: We formulate and study continuous-time models,...

  13. 5-005-Text-S-StiffDifferentialEquations

    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...

  14. 1-143-S-PopulationModelVariationsMATLAB

    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...

  15. 1-141-S-M&MGameRevisited

    27 Aug 2018 | | Contributor(s):: Mehdi Hakim-Hashemi

    In this project students will learn to find a probability distribution using the classical M&M game in SIMIODE.

  16. 2017-Suebcharoen, T. - Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator.

    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...

  17. 2009-Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur - Bioeconomic harvesting of a pre-predator fishery.

    03 Mar 2018 | | Contributor(s):: Tapasi Das

    Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a pre-predator fishery. Journal of Biological Dynamics. 3(5): 447-462.See https://pubmed.ncbi.nlm.nih.gov/22880894/ . Abstract: This paper deals with the problem of non-selective harvesting of a...

  18. 2014-Easton, 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...

  19. 2006-Loyd, 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...

  20. 2014-Do, 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...