Tags: stability

All Categories (1-20 of 40)

  1. 1-136-S-MarriageAge

    11 Jun 2020 | | Contributor(s):: Tracy Weyand

    Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are first-order ordinary differential equations (which...

  2. 1-141-S-M&MGameRevisited

    27 Aug 2018 | | Contributor(s):: Mehdi Hakim-Hashemi

    In this project students will learn to find a probability distribution using the classical M&M game in SIMIODE.

  3. 1-143-S-PopulationModelVariationsMATLAB

    17 Feb 2019 | | Contributor(s):: Bill Skerbitz

    Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations.  They will also work with other utilities...

  4. 1975-Burghes, David N. - Population dynamics An introduction to differential equations

    07 Sep 2017 | | Contributor(s):: Brian Winkel

    Burghes, David N. 1975. Population dynamics An introduction to differential equations. International Journal of Mathematical Education in Science and Technology. 6(3): 265-276.See https://www.tandfonline.com/doi/abs/10.1080/0020739750060302 .Abstract:  In this paper a number of...

  5. 1998-Louie, K. H. Clark, and P. C. D. Newton - Analysis of differential equation models in biology: a case study for clover meristem populations.

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

    Louie, K. H. Clark, and P. C. D. Newton. 1998. Analysis of differential equation models in biology: a case study for clover meristem populations. New Zealand Journal of Agricultural Research. Vol. 41: 567-576.See https://www.tandfonline.com/doi/abs/10.1080/00288233.1998.9513340...

  6. 2002-Nelson, Patrick W. and Alan S. Perelson - Mathematical analysis of delay differential equation models of HIV-1 infection

    02 Mar 2017 | | Contributor(s):: Brian Winkel

    Nelson, Patrick W. and Alan S. Perelson. 2002. Mathematical analysis of delay differential equation models of HIV-1 infection. Mathematical Biosciences. 179: 73–94.Article Abstract: Models of HIV-1 infection that include intracellular delays are more accurate representations of the...

  7. 2005-Howard P. - Modeling with ODE. Notes.

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Howard P. 2005. Modeling with ODE. Notes. 48 pp.See https://www.math.tamu.edu/~phoward/m412/modode.pdf .Great exposition and lots of Modeling Scenarios almost laid out completely as exercises.From the textOverviewA wide variety of natural phenomena such as projectile motion,...

  8. 2006-Kar, Tapan Kumar - Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge.

    06 Sep 2017 | | Contributor(s):: Brian Winkel

    Kar, Tapan Kumar.  2006: Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge.  International Journal of Mathematical Education in Science and Technology. 37(5):...

  9. 2006-Loyd, Alun L. and Dominik Wodarz - Drug Resistance in Acute Viral Infections:  Rhinovirus as a Case Study.

    18 Sep 2017 | | Contributor(s):: Brian Winkel

    Loyd, Alun L. and Dominik Wodarz.  2006. Drug Resistance in Acute Viral Infections:  Rhinovirus as a Case Study.  Preprint. 21 pp.See http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract:  The emergence and spread...

  10. 2007-Altafini, Claudio. 2007. ODEs models in Systems Biology. Lecture 5 & 6 SISSA. Presentation. 27 slides.

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

    Altafini, Claudio. 2007. ODEs models in Systems Biology. Lecture 5 & 6 SISSA. Presentation. 27 slides. From Opening Slide Systems Biology = investigates function of genetic, molecular and cellular processes in a systematic way: *making (biologically relevant) sense out of...

  11. 2008-Li, Jai - Differential equations models for interacting wild and transgenic mosquito populations

    21 Jun 2019 | | Contributor(s):: Jai Li

    Li, Jai. 2008.  Differential equations models for interacting wild and transgenic mosquito populations. Journal of Biological Dynamics. 2(3): 241-258.See https://www.tandfonline.com/doi/full/10.1080/17513750701779633 .Abstract: We formulate and study continuous-time models,...

  12. 2008-Suri, Ratneesh - Optimal harvesting strategies for fisheries: a differential equations approach. PhD Thesis.

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Suri, Ratneesh. 2008. Optimal harvesting strategies for fisheries: a differential equations approach. PhD Thesis. 209 pp.This thesis considers how we might optimally harvest using logistic model with constant harvest  to determine maximum sustainable yield and optimal economic...

  13. 2009-Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur - Bioeconomic harvesting of a pre-predator fishery.

    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.See https://pubmed.ncbi.nlm.nih.gov/22880894/ . Abstract: This paper deals with the problem of non-selective harvesting of a...

  14. 2009-Munz, Philip , Ioan Hudea, Joe Imad, Robert J. Smith - When Zombies Attack!:  Mathematical modelling of an Outbreak of Zombie Infection.

    07 Sep 2017 | | Contributor(s):: Brian Winkel

    Munz, Philip , Ioan Hudea, Joe Imad, Robert J. Smith. 2009. When Zombies Attack!:  Mathematical modelling of an Outbreak of Zombie Infection. Pp: 133-150.  In Infectious Disease Modelling Research Progress. Ed:  J. M. Tshuenche and C. Chiyaka. Hauppauge NY: Nova Science...

  15. 2011-Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint Slides.

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint. 81 slides. From the slides: Background: Delay Equations      Ordinary vs. Delay Differential Equations      Applications in Biology     ...

  16. 2011-Cruz-Aponte, Maytee, Erin C McKiernan1, Marco A Herrera-Valdez - Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administration capacity.

    07 Sep 2017 | | Contributor(s):: Brian Winkel

    Cruz-Aponte, Maytee, Erin C McKiernan1, Marco A Herrera-Valdez. 2011. Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administration capacity. BMC Infectious Diseases. 11:207. 16...

  17. 2011-Shibberu, Yosi - MA211 Differential Equations. Class Notes

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    Shibberu, Yosi. 2011. MA211 Differential Equations. Class Notes. PowerPoint. 426 slides. https://www.rose-hulman.edu/~shibberu/MA211/Slides.pdf . Accessed 1 September 2017This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...

  18. 2011-Wentworth, Corinne, Masami Fujiwara, and Jay Walton - Optimal harvesting models for fishery populations.

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Wentworth, Corinne, Masami Fujiwara, and Jay Walton. 2011.  Optimal harvesting models for fishery populations. REU paper.  17 pp.Abstract. Fishery management is the consideration of the ecological effects of harvesting. Fisherman work to provide fish for a growing human population...

  19. 2011-Yafia, Radouane - A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System.

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

    Yafia, Radouane. 2011. A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System.  International Journal of Biomathematics. 4(2):  185-206.See https://www.worldscientific.com/doi/10.1142/S1793524511001404 .Abstract: In this paper, we...

  20. 2012-Ehrke, John. 2012. Second Order Equations, Three Cases. Presentation.

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

    Ehrke, John. 2012. Second Order Equations, Three Cases. Presentation. 17 slides. Presentation on the three possible cases corresponding to possible eigenvalues from characteristic equation. nic and concise.