Tags: stability

All Categories (1-20 of 31)

  1. 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...

  2. 2008-Li-DE 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): 241-258.Abstract: We formulate and study continuous-time models, based on systems of ordinary differential...

  3. 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...

  4. 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...

  5. 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.

  6. 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...

  7. 2009-Das EtAl BioeconomicHarvesting-JBioDynamics

    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.Abstract: This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate...

  8. 2014-Easton-MathModelsOfHealthFocusingOnDiabetes-DelayDEAndDataMining

    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...

  9. 2006-LoydWodarz 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...

  10. 2014-DoEtAl-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.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4215004/ . Accessed 11 September 2017.Objectives: We examine the dynamics...

  11. 2011-WentworthEtAl-Optimal 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...

  12. 2008-Suri-Optimal harvesting strategies for fisheries

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Suri, Ratneesh-2008-Optimal 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...

  13. 2015-SebestyenFarago-Invasive 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): 1-6.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...

  14. 2015-Easton-Mathematical 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...

  15. 2012-Misra-Mathematics 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 non-linear mathematical model for the spread of two political parties has been proposed and...

  16. 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...

  17. 2014-Bozkurt 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...

  18. 2011-Barbarossa-Delay 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...

  19. 2005-Howard-Modeling 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...

  20. 2011-Shibberu-DEClassNotes

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    Shibberu, Yosi. 2011. MA211 Differential Equations. Class Notes. PowerPoint. 426 slides.  https://www.rose-hulman.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...