
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...

1087SThanosPopulationDynamics
07 Oct 2019   Contributor(s):: Sarah Elizabeth Ritchey Patterson, Blain Patterson
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

9005SInvasiveSpeciesModel
08 Aug 2019   Contributor(s):: Eric Stachura
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion. Students will explore various Mathematica modules...

1001dSHotelPopulationDecay
03 Jul 2019   Contributor(s):: Dina Yagodich
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

Exploring differential equation of HIV infection
21 Jun 2019   Contributor(s):: Rebecca L. Goulson
Exploring differential equation models of the HIV infectionPresentation by Rebecca L. Goulson Department of Mathematics Pacific Lutheran University Tacoma, WA, May, 2015. 67 SlidesModels presented and data analyzed to determine parameters.

1001cSPopulationDecayThenSome
18 Jun 2019   Contributor(s):: Dina Yagodich
This is an adaption of Modeling Scenario 1001SMandMDeathAndImmigration in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

1109SEmployeeAttrition
25 Mar 2019   Contributor(s):: Lyle Clifford Smith
This scenario models the loss of employees and the employer's attempt to retain them through stock options. This is intended for introductory students and is paired well with exponential growth/decay material. We also introduce the 5% rule to sort possible factors into assumptions and...

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...

1067SModelingWithSigmoidCurves
18 Aug 2018   Contributor(s):: Natali Hritonenko
The assignment considers two wellknown models of population growth, VerhulstPearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or Sshape. The assignment contains two opposite, but related tasks:...

Two competing populations: simulations with differential equations
01 Mar 2018   Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan
Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the logistic...

Population Modeling
01 Mar 2018   Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan
This paper offers many problems inolving a single population model while introducing several specific models. Both numerical methods and qualitative anlyses are offered.The paper is in German and is entitled, "Populationsmodelle: Eine Einführung in Differentialgleichungen."Hans R....