Tags: population

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  1. 2012-Levermore-OrdinaryDifferentialEquations-Graphical MethodsApplications

    01 Dec 2017 | Contributor(s):: Brian Winkel

    Levermore. David. 21012. First-Order Ordinary Differential Equations II:  Graphical Methods and Applications. University of Maryland. Notes. 23 pp/5. First-Order Equations: General Theory5.1. Well-Posed Problems 25.2. Existence and Uniqueness 36. First-Order Equations: Graphical Methods6.1....

  2. 2010-Hussein-Predator-PreyModeling

    26 Nov 2017 | Contributor(s):: Brian Winkel

    2010. Hussein, Shaza. Predator-Prey Modeling. Undergraduate Journal of Mathematical Modeling: One + Two. 3(1):  Article 20. http://scholarcommons.usf.edu/ujmm/vol3/iss1/32 .   Accessed 27 November 2017.Abstract. Predator-prey models are useful and often used in the environmental...

  3. 2015-Endale-ApplicationsOfODEsToRealWorldSystems

    26 Nov 2017 | Contributor(s):: Brian Winkel

    2015. Endale, Mersha Amdie. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the physical...

  4. 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...

  5. 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

  6. 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...

  7. 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,...

  8. Verhulst Population Model with Harvest

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

    Verhulst Population Model with HarvestNotes. 20 pp.Building on the Verhulst model of limited growth there are a number of problems and solutions offered, including issues of harvesting.Keywords:  differential equation, model, problems, solutions, Verhulst, population, harvest,

  9. 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...

  10. 2010-Clementi-DelCiello-Hart Modeling Disease

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

    Del Ciello, Sarah, Jack Clementi, and Nailah Hart. 2010. Modeling Disease – FinalReport. http://educ.jmu.edu/~strawbem/math_201/final_reports/Clementi_DelCiello_Hart_Final.pdf . Acessed 8 September 2017.Abstract: This paper models the progression of a disease through a set population...

  11. 2012-Kerckhove-Mathematica Pop Dynamics Tutorial PDE

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

    Kerckhove, Michael.  2012. From Population Dynamics to Partial Differential Equations. The Mathematica Journal. 14: 1-18.Abstract: Differential equation models for population dynamics are now standard fare in single-variable calculus. Building on these ordinary differential equation (ODE)...

  12. Pennel-Differential Equations First Order Applications

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

    Pennel, Steve. Differential Equations:  Applications of First Order Differential Equations. Notes. 44 p. Universiyt of Massachusetts, Lowel.This is a set of modeling activities with derivations, Matlab code, and mathematical details covering the following topics: Newton’s Second...

  13. 2001-Cheng-TeachingMathematicalModeling

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

    Cheng, Ang Keng. 2001. Teaching mathematical modelling in Singapore schools.  The Mathematics Educator. 6(1): 63-75. Published by Association of Mathematics EducatorsFrom Introduction, “The purpose of this paper is to examine the possibility of introducing the teaching of mathematical...

  14. 1994-Davis-AskingGoodQuestionsAboutDEs

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

    Davis, Paul. 1994. Asking Good Questions about Differential Equations. The College Mathematics Journal. 25(5):  394-400 A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish...

  15. 1975-Burghes-PopulationDynamics

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

    Burghes, David N. 1975. Population dynamics An introduction to differential equations. International Journal of Mathematical Education in Science and Technology. 6(3): 265-276.Abstract:  In this paper a number of population models, which lead to differential equations, are derived....

  16. 2006-Kar-OptimalHarvestwithPreyRefuge

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

    Kar, Tapan Kumar.  2006: Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge.  International Journal of Mathematical Education in Science and Technology. 37(5): 559-571.Abstract: This paper deals with a prey–predator model...

  17. 2016-deBoer-Modeling Population Dynamics Text

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

    De Boer, Rob J. 2016 Modeling Population Dynamics:  A Graphical Approach.  http://tbb.bio.uu.nl/rdb/books/mpd.pdf . Accessed 6 September 2017. 193 pp.From the Preface,“This book is an introduction into modeling population dynamics in ecology. Because there are several good...

  18. 2014-deRossmodelingPopulationDynamicsText

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

    De Ross, Andre M. 2014. Modeling Population Dynamics. OnLine text.  222 pp. https://staff.fnwi.uva.nl/a.m.deroos/downloads/pdf_readers/syllabus.pdf . Accessed 4 September 2017From the Introduction to the text, “This course is intended as an introduction to the formulation, analysis...

  19. 2007-Luo-Population Modeling By Differential Equations

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

    Luo, Hui. 2007. Population Modeling by Differential Equations.  Marshall University. Theses, dissertations and capstones. Paper 713. 31 pp.   http://mds.marshall.edu/etd/713/ . Accessed 4 September 2017.Abstract: A general model for the population of Tibetan antelope is...

  20. Vas-Modeling With Differential Equations

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

    Vas, Lia. Notes: Modeling With Differential Equations. 8 pp.  http://liavas.net/courses/math422/files/Differential_eq.pdf  . Accessed 5 September 2017.This is a set of class notes for Lia Vas in which examples from population, falling objects, tank mixing, growth and threshold, are...