
2018WinkleEtAlModelingMechanicalInteractionsInGrowingPopulationsBacteria.pdf
01 Apr 2020  Contributor(s):: Brian Winkel
2018WinkleEtAlModelingMechanicalInteractionsInGrowingPopulationsBacteria.pdfWINKLE,JAMES J. , OLEG IGOSHIN, MATTHEW R. BENNETT, KREŠIMIR JOSIC,AND WILLIAM OTT. 2018. MODELING MECHANICAL INTERACTIONS IN GROWING POPULATIONS OF RODSHAPED BACTERIA. Phys. Biol. 14(5):...

1977FreedmanMathematical models of population interactions with dispersal. I Stability of two habitats
01 Apr 2020  Contributor(s):: Brian Winkel
1977FreedmanMathematical models of population interactions with dispersal. I Stability of two habitatsFREEDMAN, H. I. AND PAUL WALTMAN, 1977. MATHEMATICAL MODELS OF POPULATION INTERACTIONS WITHDISPERSAL. I: STABILITY OF TWO HABITATS WITH AND WITHOUTA PREDATOR. SIAM J....

2018ReedMathematical Models of Mosquito Populations
24 Mar 2020  Contributor(s):: Brian Winkel
2018ReedMathematical Models of Mosquito PopulationsReed, Hanna. 2018. Mathematical Models of Mosquito Populations. University of Central Florida.Honors Theses. 38 pp.ABSTRACTThe intent of this thesis is to develop ordinary differential equation models to better understandthe...

2017. RosarioMathematicalModelforFuturePopulationScenarioInIndiaAndChinaAnEconometricApproach
20 Mar 2020  Contributor(s):: Brian Winkel
2017. RosarioMathematicalModelforFuturePopulationScenarioInIndiaAndChinaAnEconometricApproachRosario, G. Michael and Dr. M. James Antony. 2017. Mathematical Model for Future Population Scenario In India And China – An Econometric Approach. International...

2013NelsonPopulation Modeling with Delay Differential Equations
15 Mar 2020  Contributor(s):: Brian Winkel
2013NelsonPopulation Modeling with Delay Differential EquationsNelson, Shawna. 2013 Population Modeling with Delay Differential Equations. Master of Science Thesis. Rochester Institute of Technology, Rechester NY USA.Abstract: We investigate a delay differential equation system...

2006RuanDelayDifferentialEquationsinSingleSpeciesDynamics
15 Mar 2020  Contributor(s):: Brian Winkel
2006RuanDelayDifferentialEquationsinSingleSpeciesDynamicsRuan, Shigui. 2006. DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS. In O. Arino et al. (eds.), Delay Differential Equations and Applications. Springer, Berlin, 2006, pp. 477517.Contents1. Introduction2....

2012MooreUsing Projects Math And Engineering Courses
13 Mar 2020  Contributor(s):: Brian Winkel
2012MooreUsing Projects Math And Engineering CoursesMoore, Hassan. 2012. Using projects to stimulate learning in mathematics and engineering mathematics courses. American Society of Engineering Education. 120th ASEE Annual Conference and Exposition. Paper ID #7658.Abstract: An...

2012Wali EtAlMathModelUgandaPopulationGrowth
13 Mar 2020  Contributor(s):: Brian Winkel
2012Wali EtAlMathModelUgandaPopulationGrowthWali, Augustus. 2012. Mathematical Modeling of Uganda Population Growth. Applied Mathematical Sciences. 6(84): 4155  4168Abstract: Uganda is a landlocked country in East Africa. It is bordered on the east by Kenya, north by Sudan,...

2006ColemanPopModelingWithODENotes
13 Mar 2020  Contributor(s):: Brian Winkel
2006ColemanPopModelingWithODENotesColeman, Michael J. 2006. Population Modeling with Ordinary Differential Equations  Notes. https://www2.gwu.edu/~mathgss/old_site/Slides/MikeC_Seminar.pdfAbstract: Population modeling is a common application of ordinary differential...

1992MathewsBoundedPopulationGrowth
12 Mar 2020  Contributor(s):: Brian Winkel
Mathews, John H. 1992. Bounded population growth: a curve fitting lesson. Mathematics and Computer Education. 26(2): 169176.The logistic curve is presented as a mathematical model for population growth in calculus, differential equations and mathematical modeling textbooks. However, there is...

1986CookeLinear And Logistic Harvesting ModelsMath Modeling Journal
09 Dec 2018  Contributor(s):: Brian Winkel
Cook, K. L. and M. Witten. 1986. Onedimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301340.Abstract: Some of the results in the literature on simple onedimensional, density dependent, discrete and continuous modelswith and without harvestingare reviewed. Both...

2012LevermoreOrdinaryDifferentialEquationsGraphical MethodsApplications
01 Dec 2017  Contributor(s):: Brian Winkel
Levermore. David. 21012. FirstOrder Ordinary Differential Equations II: Graphical Methods and Applications. University of Maryland. Notes. 23 pp/5. FirstOrder Equations: General Theory5.1. WellPosed Problems 25.2. Existence and Uniqueness 36. FirstOrder Equations: Graphical Methods6.1....

2010HusseinPredatorPreyModeling
26 Nov 2017  Contributor(s):: Brian Winkel
2010. Hussein, Shaza. PredatorPrey 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. Predatorprey models are useful and often used in the environmental...

2015EndaleApplicationsOfODEsToRealWorldSystems
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...

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...

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

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,...

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,

2005HowardModeling 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...