
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...

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...

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...

1135SFishHarvesting
08 Aug 2021   Contributor(s):: Jennifer Crodelle
This modeling scenario will introduce students to the concept of a bifurcation through a fish harvesting model. This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this...

1150SCancerTherapy
03 Aug 2021   Contributor(s):: Maila Hallare, Iordanka Panayotova
This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the other, surgery happens after therapy.Activities will help students appreciate the importance of...

Richard A Cangelosi
I am an applied mathematician interested in modeling nonlinear phenomena. My focus is on applications related to the life sciences. I enjoy working collaboratively with Gonzaga undergraduates on...
https://simiode.org/members/5927

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.

1119SDairyFarming
20 Sep 2020   Contributor(s):: Rob Krueger
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.

1124SWorldPopulation
30 May 2020   Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel
We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be xySTitleStudentVersionCzech.

2018Winkle, James LJ., Oleg Igoshin, Matthew R. Bennett, Kresimir Josic, and William Ott  Modeling Mechanical Interactions in Growing Populations of RosShaped Bacteria.
01 Apr 2020   Contributor(s):: Brian Winkel
Winkle, James LJ., Oleg Igoshin, Matthew R. Bennett, Kresimir Josic, and William Ott. 2018. Modeling Mechanical Interactions in Growing Populations of RosShaped Bacteria. Phys. Biol. 14(5): 115. See https://www.ncbi.nlm.nih.gov/pubmed/28649958 .Abstract:...

1977Freedman, H. I. and Paul Waltman  Mathematical models of population interactions with dispersal. I Stability of two habitats with and without a predator
01 Apr 2020   Contributor(s):: Brian Winkel
FREEDMAN, H. I. AND PAUL WALTMAN, 1977. MATHEMATICAL MODELS OF POPULATION INTERACTIONS WITHDISPERSAL. I: STABILITY OF TWO HABITATS WITH AND WITHOUTA PREDATOR. SIAM J. APPL. MATH. 32(3): 631648,See https://epubs.siam.org/doi/abs/10.1137/0132052?mobileUi=0&...

2014Bodine, Erin N.  Discrete Difference Equations.
26 Mar 2020   Contributor(s):: Brian Winkel
Bodine, Erin N. Discrete Difference Equations. Rhodes College. Notes. 37 pp. From, An Introduction to Discrete Mathematical Modeling"The field of mathematics provides many dierent means for modeling the world around us. Some mathematical toolsare...

2018Reed, Hanna  Mathematical Models of Mosquito Populations. University of Central Florida. Honors Thesis.
24 Mar 2020   Contributor(s):: Brian Winkel
Reed, Hanna. 2018. Mathematical Models of Mosquito Populations. University of Central Florida. Honors Thesis. 38 pp.ABSTRACT: The intent of this thesis is to develop ordinary differential equation models to better understand the mosquito population. We first develop a framework model, where...

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...

2017Ballard, Floyd  Dice Activities for DE Models
20 Mar 2020   Contributor(s):: Brian Winkel
2017Ballard, Floyd  Dice Activities for DE ModelsIntroduction: This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a realworld scenario. Each can be...

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):...

2013Nelson, Shawna  Population Modeling with Delay Differential Equations. Master of Science Thesis.
15 Mar 2020   Contributor(s):: Brian Winkel
Nelson, Shawna. 2013 Population Modeling with Delay Differential Equations. Master of Science Thesis. Rochester Institute of Technology, Rechester NY USA.See https://scholarworks.rit.edu/cgi/viewcontent.cgi?article=10264&context=theses .Abstract: We investigate a delay...

2006Ruan, Shigui  Delay differential equations in single species dynamics.
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....

2012Moore, Hassan  Using projects to stimulate learning in mathematics and engineering mathematics courses.
13 Mar 2020   Contributor(s):: Brian Winkel
Moore, 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.See...

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...