Tags: logistic

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  1. 2022-Kalman-Improved 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...

  2. 1-190-S-IntroClass

    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...

  3. 1-102C-S-CancerGrowth

    19 Jan 2022 | | Contributor(s):: Jennie D'Ambroise

    This module 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. Students solve first-order differential...

  4. 1-170-S-CensusModeling-StudentVersion

    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...

  5. 1-104-S-InfectionRisk

    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,...

  6. 1-100-S-EngineeringDemographics

    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...

  7. 6-029-S-TumorGrowth

    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...

  8. 6-026-S-FakingGause

    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.

  9. 1-127-S-FishHarvesting-StudentVersion

    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).

  10. 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.  Here we...

    https://simiode.org/forum/teachpandemic/covid19panama/285

  11. 2019-Obasi, 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):...

  12. 2004-Hsu, Sze-Bi - Mathematical Modelling In Biological Science. Class notes

    02 Apr 2020 | | Contributor(s):: Brian Winkel

    Hsu, Sze-Bi. 2014. Mathematical Modelling In Biological Science. Department of Mathematics,Tsing-Hua University TAIWAN. Class Notes. 67 pages.Table of ContentsIntroduction 1 Continuous population model for single species 11.1 Logistic equation...

  13. 2014-Monagan, 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. 

  14. 2017-Biswasa,  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...

  15. 2015-Boggess, 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...

  16. 2019-Ekici, Celil  and Chris Plyley - Inquiry-Based Modeling of Population Dynamics With Logistic Differential and Difference Equations

    23 Mar 2020 | | Contributor(s):: Brian Winkel

    Ekici, Celil  and Chris Plyley. 2019. Inquiry-Based Modeling of Population Dynamics With Logistic Differential and Difference Equations. PRIMUS. 29(6): 553-570.  Freely available at the Mathematical Association of America Membership...

  17. 2017-Rosario, 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):...

  18. 2006-Juska, Alfonsas, Genovaite Gedminiene, and Ruta Ivanec - Growth of Microbial Populations - Mathematical Modeling, Laboratory Exercises, and Model-Based 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 Model-Based Data Analysis. BIOCHEMISTRY AND MOLECULAR BIOLOGY EDUCATION. 34(6):...

  19. 2015-Doust, 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): 107-115.See http://elib.mi.sanu.ac.rs/files/journals/yjor/51/yujorn48p107-115.pdf .Abstract: The present paper deals...

  20. 2010-Singh, 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): 177-183.See https://www.arpapress.com/Volumes/Vol3Issue2/IJRRAS_3_2_07.pdf .Abstract: In this paper we have proposed a...