
2010KeesomEtAlFishing 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...

1986CookeWitten Onedimensional linear and logistic harvest models
12 Sep 2017  Contributor(s):: Brian Winkel
Cooke, Kenneth L. and Matthew Witten. 1986. Onedimensional linear and logistic harvest models. Mathematical Modelling. 7: 301340.Abstract: Some of the results in the literature on simple onedimensional, density dependent, discrete and continuous modelswith and without harvestingare...

2011WentworthEtAlOptimal 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...

LewisHarvesting 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...

2008SuriOptimal harvesting strategies for fisheries
12 Sep 2017  Contributor(s):: Brian Winkel
Suri, Ratneesh2008Optimal 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...

ShiModeling 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

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

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

2000IdelsWangHarvesting 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...

2010SteinworthEtAl 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,...

2015SebestyenFaragoInvasive 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): 16.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...

KallenSingle 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,...

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...

2009Bifurcation 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,...

2010XieMotivating Examples from Differential Equations for Engineers
12 Sep 2017  Contributor(s):: Brian Winkel
Xie, WeiChau. 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,...

PatelSchlijperModels 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 fastmoving consumer goods. Such models must take...

2011HarwoodModeling 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;...

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...

2013FedewaEtAlSpread 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...

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...