
2012Wali, Augustus  Mathematical Modeling of Uganda Population Growth.
13 Mar 2020  Contributor(s):: Brian Winkel
Wali, Augustus. 2012. Mathematical Modeling of Uganda Population Growth. Applied Mathematical Sciences. 6(84): 4155  4168.See https://silo.tips/download/mathematicalmodelingofpopulationgrowthofuganda .Abstract: Uganda is a landlocked country in East Africa. It is...

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

1992Mathews, John H.  Bounded population growth: a curve fitting lesson
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.See https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.1053.7606&rep=rep1&type=pdf .The logistic curve is presented as a mathematical model for...

2003Ellermeyer, S. F.  Modeling Via Differential Equations
12 Mar 2020  Contributor(s):: Brian Winkel
2003. Ellermeyer, S. F. Modeling Via Differential Equations  preprint.Abstract: Mathematical modeling via differential equations is introduced. We partially follow the approach in Section 1.1 of the Blanchard, Devaney, and Hall text book.

1111SSpreadOfInformation
02 Sep 2019   Contributor(s):: Jeff Pettit
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model which can be compared to predicted data, measured data, and modeled data. Part 3 can require students to move from...

1084SGoingViral
31 Aug 2019   Contributor(s):: Bill Skerbitz
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...

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...

2014Huang X. M.  Ordinary Differential Equation Model and its Application in the Prediction Control of Population
21 Jun 2019   Contributor(s):: X. M. Huang
Article Review and Annotation2014HuangODE Model Application in Prediction Control PopulationHuang X. M. 2014. Ordinary Differential Equation Model and its Application in the Prediction Control of Population. Applied Mechanics and Materials. 631632: 714717.Abstract: Ordinary...

1143SPopulationModelVariationsMATLAB
17 Feb 2019   Contributor(s):: Bill Skerbitz
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations. They will also work with other utilities...

1986Cook, K. L. and M. Witten  Onedimensional linear and logistic harvesting models.
09 Dec 2018   Contributor(s):: Brian Winkel
Cook, K. L. and M. Witten. 1986. Onedimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301340.See https://core.ac.uk/download/pdf/81116076.pdf .Abstract: Some of the results in the literature on simple onedimensional, density dependent, discrete and...

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:...

1102SCancerGrowth
29 Jul 2018   Contributor(s):: Jue Wang
This scenario guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and Gompertz. They examine the behaviors of the...

1081STumorGrowth
09 Jun 2018   Contributor(s):: Randy Boucher, Ryan Edmund Miller
Students will transform, solve, and interpret a tumor growth scenario using nonlinear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...

2018Unknown  The Logistic Differential Equation  Notes
03 Mar 2018   Contributor(s):: Brian Winkel
The Logistic Differential Equation. Notes. 7 pp.Goals from the notes:• MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .• MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometricallyand...

2009Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur  Bioeconomic harvesting of a prepredator fishery.
03 Mar 2018   Contributor(s):: Tapasi Das
Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a prepredator fishery. Journal of Biological Dynamics. 3(5): 447462.See https://pubmed.ncbi.nlm.nih.gov/22880894/ . Abstract: This paper deals with the problem of nonselective harvesting of a...

2018Schneebeli, Hans R.  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...

2018Harwood, Corban  Managing Project Logistics in Teaching Differential Equations
19 Jan 2018   Contributor(s):: Richard Corban Harwood
Managing Project Logistics in Teaching Differential EquationsByCorban Harwood , George Fox University.A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913...

2018Skerbitz, William  The Logic of Logistics
19 Jan 2018   Contributor(s):: Bill Skerbitz
The Logic of LogisticsBy Bill Skerbitz, Wayzata High SchoolA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913 January 2018

2010Hussein, Shaza  PredatorPrey Modeling.
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...

2015Endale, Mersha Amdie  Some application of first order differential equations to real world system. Masters Thesis.
26 Nov 2017   Contributor(s):: Brian Winkel
Endale, Mersha Amdie. 2015. 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...