Tags: stability

Potential Scenario Ideas (1-20 of 30)

  1. 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...

  2. 2018-Brinks, Ralph - Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem.

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

    Brinks, Ralph. 2018. Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018, Article ID 5091096. 6...

  3. 2013-Pescitelli, Monica - Lotka Volterra Predator-Prey Model with a Predating Scavenger. Capstone project

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

    2013-Pescitelli-LotkaVolterraPredator-Prey-WithPredatingScavengerPescitelli, Monica. 2013. Lotka Volterra Predator-Prey Model with a Predating ScavengerAbstract: The classic Lotka Volterra equations are used to model the population dynamicsbetween two species: a predator and...

  4. 2015-Wester, Thomas - Analysis and Simulation of a Mathematical Model of Ebola Virus Dynamics in vivo.  Undergraduate thesis. 

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

    Wester, Thomas. 2015. Analysis and Simulation of a Mathematical Model of Ebola Virus Dynamics in vivo.  Undergraduate thesis.  U.S. Naval Academy, Annapolis MD USA. 21 pp.Abstract: Ebola is known to evade detection by the immune system during infection. In this...

  5. 2018-Kovacs, Balazs A. and Tamas Insperger - Retarded, neutral and advanced differential equation models for balancing using an accelerometer. 

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

    Kovacs, Balazs A. and Tamas Insperger. 2018.  Retarded, neutral and advanced differential equation models for balancing using an accelerometer. Int. J. Dynam. Control. 6: 694–706.See ...

  6. 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...

  7. 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,...

  8. 2017-Suebcharoen, T. - Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator.

    07 Mar 2018 | | Contributor(s):: T. Suebchareon

    Suebcharoen, T. 2017. Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11...

  9. 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...

  10. 2014-Easton, Jonathan - Mathematical models of health focusing on diabetes: Delay differential equations and data mining. PhD Thesis. 

    28 Nov 2017 | | Contributor(s):: Brian Winkel

    Easton, Jonathan. 2015.  Mathematical models of health focusing on diabetes: Delay differential equations and data mining . PhD Thesis.  Northumbria University Newcastle.See http://nrl.northumbria.ac.uk/23582/. Accessed 27 November 2017.Abstract: Mathematical models have...

  11. 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...

  12. 2014-Do, Tae Sug and Young S. Lee - A Differential Equation Model for the Dynamics of Youth Gambling.

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

    Do, Tae Sug and Young S. Lee.  2014. A Differential Equation Model for the Dynamics of Youth Gambling. Osong Public Health Res Perspect. 2014 Aug; 5(4): 233–241.See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4215004/ . Accessed 11 September 2017.Objectives: We examine the...

  13. 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...

  14. 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...

  15. 2015-Sebesyen, G. S. and I Farago - Invasive Species Model with Linear Rat Harvesting on Easter Island.

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

    Sebesyen, G. S. and I Farago. 2015. Invasive Species Model with Linear Rat Harvesting on Easter Island. J Appl Computat Math. 4(6): 1-6.See https://www.researchgate.net/publication/294108452_Invasive_Species_Model_with_Linear_Rat_Harvesting_on_Easter_Island .From the paper we...

  16. 2015-Easton, Jonathan - Mathematical models of health focusing on diabetes: Delay differential equations and data mining. Doctoral thesis.

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

    Easton, Jonathan. 2015. Mathematical models of health focusing on diabetes: Delay differential equations and data mining. Doctoral thesis. 186 pp. Northumbria University.See http://nrl.northumbria.ac.uk/23582/ . Accessed 10 September 2017.This is an exhaustive study with...

  17. 2012-Misra, Arvind Kumar - A simple mathematical model for the spread of two political parties. 

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

    Misra, Arvind Kumar. 2012. A simple mathematical model for the spread of two political parties. Nonlinear Analysis: Modelling and Control. 17(3):  343–354.See https://core.ac.uk/download/pdf/322857553.pdf. Abstract. In this paper, a non-linear mathematical model...

  18. 2014-Bozkurt, Fatma  and Fatma Peker - Mathematical modelling of HIV epidemic and stability analysis.

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

    Bozkurt, Fatma  and Fatma Peker. 2014. Mathematical modelling of HIV epidemic and stability analysis. Advances in Difference Equations. 95.See  http://www.advancesindifferenceequations.com/content/2014/1/95 . Accessed 10 September 2017.Abstract: A nonlinear mathematical...

  19. 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,...

  20. 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...