Tags: differential

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  1. 2002-de Pillis, L. G. and A. E. Radunskaya - Parameter Estimation for Tumor-Immune ODE System. Slides.

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

    de Pillis, L. G. and A. E. Radunskaya. 2002. Parameter Estimation for Tumor-Immune ODE System, 24 slides. See https://pages.pomona.edu/~aer04747/TumorModule/parameter_estimation.pdf . This is a very thorough and complete introduction to estimating parameters for a simple differential...

  2. 2017-Bullard, Floyd - Dice Activities That Motivate Differential Equation Models Teaching Contemporary Mathematics.

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

    Bullard, Floyd. 2017.  Dice Activities That Motivate Differential Equation Models Teaching Contemporary Mathematics.  The North Carolina School of Science and Mathematics . 7 pp.  See https://www.ncssm.edu/uploads/files/330468432813721056-de-dice-activities.pdf .This...

  3. 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...

  4. 1-066-S-USCensusModeling

    15 Sep 2017 | | Contributor(s):: Jean Marie Linhart

    The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

  5. 2017-Wu, Hulin - Mathematical Biology Models Using Experimental Data

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

    Wu, Hulin.  Development of Mathematical Biology Models by Rigorously Using Experimental Data: Statistical Inverse Problems for Differential Equation Models. PowerPoint. 47 slides._ Inverse Problems and Methods for ODE Models_ Application Examples– Example 1: A Complex...

  6. 1994-Minton, Roland - A Progression of Projectiles - Examples from Sports.

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

    Minton, Roland. 1994. A Progression of Projectiles - Examples from Sports. The College Mathematics Teacher. 28(5): 436-442.See https://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-progression-of-projectiles-examples-from-sports .There is a progression...

  7. 2017-Liu, Jun - Hammer Throwing parameters optimization model research based on flight dynamical differential equation.

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

    Liu, Jun. 2017. Hammer Throwing parameters optimization model research based on flight dynamical differential equation. 2016 National Convention on Sports Science of China.  Reprint. 4...

  8. 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...

  9. 2011-Wentworth, Corinne, Masami Fujiwara, and Jay Walton - 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...

  10. 2008-Suri, Ratneesh - Optimal harvesting strategies for fisheries: a differential equations approach. PhD Thesis.

    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...

  11. 2010-Keesom, No'am , Trisha Macrae, Anjuli Uhlig, and Richard Wang - Fishing for Answers: Investigating Sustainable Harvesting Rate.

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

    Keesom, No’am , Trisha Macrae, Anjuli Uhlig, and Richard Wang. 2010.  Fishing for Answers: Investigating Sustainable Harvesting Rate. Paper 11 pp.Abstract:  The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be...

  12. 2013-Idlango, Majda - Differential Equation Population Models in a Slowly Varying Environment. PhD Thesis.

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

    Idlango, Majda. 2013. Differential Equation Population Models in a Slowly Varying Environment. PhD Thesis. 181 pp.Summary:  Many investigations have been carried out that analyse population dynamics using differential equations where the governing parameters of the models concerned are...

  13. 2013-Fedewa, Nick , Emily Krause, and Alexandra Sisson - Spread of a Rumor. Class Project.

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

    Fedewa, Nick , Emily Krause, and Alexandra Sisson. 2013. Spread of a Rumor. Class Project. Central Michigan University.  16 pp.Abstract: Modelling the random spread of a rumor has a long history. In this article we consider a random process that is based on sampling without replacement...

  14. 2011-Harwood, Kenny - Modeling a RLC Circuit's Current with Differential Equations

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

    Harwood, Kenny. 2011. Modeling a RLC Circuit’s Current with Differential Equations. Paper. 17 pp.Abstract The world of electricity and light have only within the past century been explained in mathematical terms yet still remain a mystery to the human race. R. Buckminster Fuller said;...

  15. 2017-Patel, Shail and Antoine Schlijper - Models of Consumer Behavior

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

    Patel, Shail and Antoine Schlijper.  Models of Consumer Behavior. Unilever. Paper. 63 pp.The problem posed to the Study Group was to construct models for consumer behaviour that might be useful in tools for brand management in markets for fast-moving consumer goods. Such models must take...

  16. 2018-Bourne, David W. A. - Pharmacokinetics – Source Material

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

    Phamacokinetics –PHAR 7834. https://www.boomer.org/c/p4/?Loc=OUHSC33 . Accessed 11 September 2017.This is a rich source of pharmacokinetics modeling activities and data. These are syllabus notes with homework assignments listed.Online ResourcesBackground Mathematical...

  17. 2009-Unknown - Bifurcation Analysis

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

    2009. Bifurcation Analysis – One Dimensional ODEs. Notes. 11 pp.This document contains many rich illustrations of various kinds of bifurcation in the context of applications. E.g. harvesting, magnetometer, spruce budworm,Kywords: differential equation, model, bifurcation, analysis,...

  18. 2017-University of Michigan - Math 216 Demonstrations

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

    Math 216 Demonstrations. https://instruct.math.lsa.umich.edu/lecturedemos/ma216/docs/ . Accessed 11 September 2017.This site contains many, many applications with good presentation and analysis as well as Matlab files to illustrate the concepts. For example modeling a swinging door with...

  19. 2017-Kallen, Anders - Single species models in continuous time

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

    Kallen, Anders.  Single species models in continuous time. Lecture notes. 4 pp.http://www.maths.lth.se/matematiklth/personal/andersk/kurser/biomath2016/F4.pdf . Accessed 11 Septembe 2017.Part of a series of Lecture notes this lecture contains rich materials  on logistic harvest...

  20. 2017-Shi, Junping - Modeling Population Growth Single Species

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

    Shi, Junping. Modeling Population Growth Single Species. Activities Notes.  4 pp.This is a set of descriptions of various logistic models.  Keywords:  differential equation, model, harvest, Gompertz, Allee effect, constant harvest