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  1. 2010-KeesomEtAl-Fishing for answers - investigationg sustainable harvesting rate models

    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 determined...

  2. 1986-CookeWitten- One-dimensional linear and logistic harvest models

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

    Cooke, Kenneth L. and Matthew Witten. 1986. One-dimensional linear and logistic harvest models. Mathematical Modelling. 7:  301-340.Abstract: Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are...

  3. 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...

  4. Lewis-Harvesting of Renewable Natural Resources

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

    Lewis, Gilbert N. Harvesting of renewable natural resources.  Textbook resource.  5 pp. http://www.cengage.com/math/book_content/0495108243_zill/projects_archive/de7e/ProjectModule1.pdf  . Accessed 11 September 2017.This is a resource to accompany a commercial text book and has a...

  5. 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...

  6. Shi-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 are offered.  Keywords:  differential equation, model, harvest, Gompertz, Allee effect, constant harvest

  7. Logistic Equation Harvesting Variations

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

    Logistic Equation Harvesting Variations.  Activitues.  5 pp.This is a set of descriptions of various logistic models are offered.  Keywords:  differential equation, model, harvest, constant harvest, varying harvest , disease, extinction, explosion, population, restocking

  8. Logistic Population Models with Harvesting Lab

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

    Logistic Population Models with Harvesting Lab. Class Lab. 3 pp.This is a class project lab in which several different harvest approaches are modeled.Keywords:  differential equation, model, harvest, constant harvest, varying harvest

  9. 2000-IdelsWang-Harvesting fisheries management strategies with modified effort function

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

    Idels, Lev. V. and Mei Wang. 2000. Harvesting Fisheries Management Strategies With Modified Effort Function . Int. J. Modelling, Identification and Control. Preprint.Abstract: In traditional harvesting model a fishing effort E is defined by the fishing intensity and does not address the inverse...

  10. 2010-SteinworthEtAl- modeling a fish population and the effects of overfishing

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

    Steinworkth, Bailey, Yuhui Wand, Xing Zhang. 2010. Modeling of a Fish Population and the Effects of Overfishing. Student Project. James Madison University. 22 pp.Abstract:  According to the United Nations, 200 million people depend on fishing as their source of food or livelihood.1 However,...

  11. 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...

  12. Kallen-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 models,...

  13. 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 spring...

  14. 2009-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,...

  15. 2010-Xie-Motivating Examples from Differential Equations for Engineers

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

    Xie, Wei-Chau. 2010. Differential Equations for Engineers. Cambridge UK Cambridger Universiyt Press. Excerpts. 45 pp.This document contains many rich motivating modeling activities from the original text. Covered are tanks, cables, motion, beam, ferry crossing, bar, circuits, RLC, spring mass,...

  16. PatelSchlijper-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...

  17. 2011-Harwood-Modeling a RLC Circuit

    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;...

  18. Math Modeling with Differential Equations - Interesting Tank Problem

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

    Math Modeling with Differential Equations - Interesting Tank ProblemMath Modeling with Differential Equations - Interesting Tank Problem . Class Notes on five problems.,Several models are workd out including exponential decay, bullet traveling with resisitance, This material contains a solution...

  19. 2013-FedewaEtAl-Spread of a Rumor

    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...

  20. 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...