
6026SFakingGause
30 Oct 2020   Contributor(s):: Brian Winkel
We use a fake or toy data set to permit discovery of the parameters in a two population protozoan model used to study paramecium and yeast competiton in the 1930's studies of G.~F.~Gause in the Soviet Union.

1127SFishHarvestingStudentVersion
06 May 2020   Contributor(s):: Will Mitchell
We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not necessarily mathematicians).

Modeling Reported Cases of COVID19 in Panama
Forum › teachpandemic › covid19panama
We offer works in progress on modeling COVID19 and attendant quantities' spread. All of the files mentioned below are available at https://www.simiode.org/resources/7480.
Here we...
https://simiode.org/forum/teachpandemic/covid19panama/285

2014MonaganMortgageReporter
29 Mar 2020   Contributor(s):: Brian Winkel
2014MonaganMortgageReportererMonagan, Michael. 2014. The Mortgage Payment Problem: Approximating a Discrete Process with a Differential Equation. 5 pages.Paper relates logistic equation and mortgage payments and uses Maple code.

2017BiswasEtAlMathModelingSustainableMarineResources
27 Mar 2020   Contributor(s):: Brian Winkel
2017BiswasEtAlMathModelingSustainableMarineResourcesBiswasa, Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala. 2017. Mathematical Modeling Applied to Sustainable Management of Marine Resources. Procedia Engineering. 194: 337 – 344.Abstract: In this work, we...

2010SinghModelingTechnologyInnovations
16 Mar 2020   Contributor(s):: Brian Winkel
2010SinghModelingTechnologyInnovationsSingh, Amritbir and Ravi Kant Mishra. 2010. A MATHEMATICAL MODELING APPROACH TO STUDY GROWTHRATE OF GRASSROOTS TECHNOLOGICAL INNOVATIONS. IJRRAS 3(2): 177183.Abstract: In this paper we have proposed a simple mathematical model by using...

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...

2003EllermeyerModelingViaDEs
12 Mar 2020   Contributor(s):: Brian Winkel
2003. Ellermeyer, S. F. Modeling Via Differential EquationsAbstract: 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...

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...

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):: Ryan Miller, Randy Boucher
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...

The Logistic Differential Equation
03 Mar 2018 
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 EtAl BioeconomicHarvestingJBioDynamics
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.Abstract: This paper deals with the problem of nonselective harvesting of a prey–predator system by using a reasonable catchrate function...

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....

Bill Skerbitz  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

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...

IDEA  Internet Differential Equations Activities
08 Nov 2017   Contributor(s):: Brian Winkel
Cooper, Kevin. IDEA  Internet Differential Equations Activities. Washington State University, Pullman WA USA.We quote from the home page of IDEA  Internet Differential Equations Activities, www.math.wsu.edu/idea/ .“IDEA is Internet Differential Equations Activities, an...

2002dePillsRadunskayaParameter Estimation for TumorImmune ODE
21 Sep 2017   Contributor(s):: Brian Winkel
de Pillis, L. G. and A. E. Radunskaya. 2002. Parameter Estimation for TumorImmune ODE System, 24 slides.This is a very thorough and complete introduction to estimating parameters for a simple differential equation model with attention to all the mathematical details necessary for success in...