
2022KalmanImproved Approaches to Discrete and Continuous Logistic Growth
18 Mar 2022   Contributor(s):: Brian Winkel
2022. Kalman, Dan, Improved Approaches to Discrete and Continuous Logistic Growth. PRIMUS. Preprint at https://maa.tandfonline.com/doi/abs/10.1080/10511970.2022.2040664#.YjUMVurMI_U . Abstract: In the precalculus curriculum, logistic growth generally appears in either a discrete...

1190SIntroClass
05 Mar 2022   Contributor(s):: Bill Skerbitz
Students are led step by step through the development of introductory ideas in mathematical modeling with differential equations. They will encounter the fundamental ideas underlying unlimited population growth (exponential models), limited population growth (logistic models), and a coupled...

1102CSCancerGrowth
19 Jan 2022   Contributor(s):: Jennie D'Ambroise, Jue Wang
This module is designed for Calculus I class and guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and Gompertz....

1170SCensusModelingStudentVersion
22 Dec 2021   Contributor(s):: Jean Marie Linhart, Gary William Epp
Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in choosing which model to use. We will compare and contrast the United States census data and the...

1104SInfectionRisk
26 Aug 2021   Contributor(s):: Qingxia Li
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions. This project was designed for an introductory section in Calculus II or a course involving ordinary differential equations,...

1100SEngineeringDemographics
20 Aug 2021   Contributor(s):: Brody Dylan Johnson, Elodie Pozzi
The goal of this activity is to show students how population models can be used to examine social issues. The students will examine three different population models and will use numerical methods to apply each model to demographic data for the percentage of engineering degrees awarded to women...

6029STumorGrowth
04 Aug 2021   Contributor(s):: Allison Leigh Lewis
This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time. Students should have prior experience with solving ODEs using the separable...

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).

2019Obasi, Chinedu  Application of Logistic Differential Equation to Investigate The Extent of Emphasizing Stimulus Variation in Mathematics Instruction.
06 Apr 2020   Contributor(s):: Brian Winkel
Obasi, Chinedu. 2019. Application of Logistic Differential Equation to Investigate The Extent of Emphasizing Stimulus Variation in Mathematics Instruction. SJME (Supremum Journal of Mathematics Education). 3(1):...

2004Hsu, SzeBi  Mathematical Modelling In Biological Science. Class notes
02 Apr 2020   Contributor(s):: Brian Winkel
Hsu, SzeBi. 2014. Mathematical Modelling In Biological Science. Department of Mathematics,TsingHua University TAIWAN. Class Notes. 67 pages.Table of ContentsIntroduction 1 Continuous population model for single species 11.1 Logistic equation...

2014Monagan, Michael  The Mortgage Payment Problem: Approximating a Discrete Process with a Differential Equation
29 Mar 2020   Contributor(s):: Brian Winkel
Monagan, Michael. 2014. The Mortgage Payment Problem: Approximating a Discrete Process with a Differential Equation. 5 pages.See http://www.cecm.sfu.ca/CAG/papers/MortgageReporter.pdf .Paper relates logistic equation and mortgage payments and uses Maple code.

2017Biswasa, Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala  Mathematical Modeling Applied to Sustainable Management of Marine Resources
27 Mar 2020   Contributor(s):: Brian Winkel
Biswasa, 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 formulate and study a nonlinear mathematical model of...

2015Boggess, Erin, Jordan Collignon, and Alanna Riederer  Mathematical Modeling in Ecology: Simulating the Reintroduction of the Extinct Passenger Pigeon (Ectopistes migratorius).
26 Mar 2020   Contributor(s):: Brian Winkel
Boggess, Erin, Jordan Collignon, and Alanna Riederer. 2015. Mathematical Modeling in Ecology: Simulating the Reintroduction of the Extinct Passenger Pigeon (Ectopistes migratorius).Valparaiso...

2019Ekici, Celil and Chris Plyley  InquiryBased Modeling of Population Dynamics With Logistic Differential and Difference Equations
23 Mar 2020   Contributor(s):: Brian Winkel
Ekici, Celil and Chris Plyley. 2019. InquiryBased Modeling of Population Dynamics With Logistic Differential and Difference Equations. PRIMUS. 29(6): 553570. Freely available at the Mathematical Association of America Membership...

2017Rosario, G. Michael and Dr. M. James Antony  Mathematical Model for Future Population Scenario In India And China – An Econometric Approach
20 Mar 2020   Contributor(s):: Brian Winkel
Rosario, G. Michael and Dr. M. James Antony. 2017. Mathematical Model for Future Population Scenario In India And China – An Econometric Approach. International Journal of Scientific & Engineering Research. 8(5):...

2006Juska, Alfonsas, Genovaite Gedminiene, and Ruta Ivanec  Growth of Microbial Populations  Mathematical Modeling, Laboratory Exercises, and ModelBased Data Analysis.
20 Mar 2020   Contributor(s):: Brian Winkel
Juska, Alfonsas, Genovaite Gedminiene, and Ruta Ivanec. 2006. Growth of Microbial Populations  Mathematical Modeling, Laboratory Exercises, and ModelBased Data Analysis. BIOCHEMISTRY AND MOLECULAR BIOLOGY EDUCATION. 34(6):...

2015Doust, Rahmani M.H. and Mansour Saraj  The logistic modeling population: having harvesting factor.
20 Mar 2020   Contributor(s):: Brian Winkel
Doust, Rahmani M.H. and Mansour Saraj. 2015. The logistic modeling population: having harvesting factor. Yugoslav Journal of Operations Research. 25(1): 107115.See http://elib.mi.sanu.ac.rs/files/journals/yjor/51/yujorn48p107115.pdf .Abstract: The present paper deals...

2010Singh, Amritbir and Ravi Kant Mishra  A mathematical modeling approach to study growth rate of grassroots technological innovations
16 Mar 2020   Contributor(s):: Brian Winkel
Singh, Amritbir and Ravi Kant Mishra. 2010. A mathematical modeling approach to study growth rate of grassroots technological innovations. IJRRAS 3(2): 177183.See https://www.arpapress.com/Volumes/Vol3Issue2/IJRRAS_3_2_07.pdf .Abstract: In this paper we have proposed a...

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...