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.
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 COVID-19 in Panama
Forum › teachpandemic › covid19panama
We offer works in progress on modeling COVID-19 and attendant quantities' spread. All of the files mentioned below are available at https://www.simiode.org/resources/7480.
29 Mar 2020 | | Contributor(s):: Brian Winkel
2014-Monagan-MortgageReportererMonagan, 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.
27 Mar 2020 | | Contributor(s):: Brian Winkel
2017-BiswasEtAl-MathModeling-SustainableMarineResourcesBiswasa, 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...
16 Mar 2020 | | Contributor(s):: Brian Winkel
2010-Singh-ModelingTechnologyInnovationsSingh, Amritbir and Ravi Kant Mishra. 2010. A MATHEMATICAL MODELING APPROACH TO STUDY GROWTHRATE OF GRASSROOTS TECHNOLOGICAL INNOVATIONS. IJRRAS 3(2): 177-183.Abstract: In this paper we have proposed a simple mathematical model by using...
12 Mar 2020 | | Contributor(s):: Brian Winkel
Mathews, John H. 1992. Bounded population growth: a curve fitting lesson. Mathematics and Computer Education. 26(2): 169-176.The logistic curve is presented as a mathematical model for population growth in calculus, differential equations and mathematical modeling textbooks. However, there is...
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.
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...
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...
1986-Cooke-Linear And Logistic Harvesting Models-Math Modeling Journal
09 Dec 2018 | | Contributor(s):: Brian Winkel
Cook, K. L. and M. Witten. 1986. One-dimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301-340.Abstract: Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed. Both...
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...
09 Jun 2018 | | Contributor(s):: Ryan Miller, Randy Boucher
Students will transform, solve, and interpret a tumor growth scenario using non-linear 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...
2009-Das EtAl BioeconomicHarvesting-JBioDynamics
03 Mar 2018 | | Contributor(s):: Tapasi Das
Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a pre-predator fishery. Journal of Biological Dynamics. 3(5): 447-462.Abstract: This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function...
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, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13 January 2018
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...
2002-dePills-Radunskaya-Parameter Estimation for Tumor-Immune ODE
21 Sep 2017 | | Contributor(s):: Brian Winkel
de Pillis, L. G. and A. E. Radunskaya. 2002. Parameter Estimation for Tumor-Immune 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...