Tags: stability

All Categories (21-40 of 40)

  1. 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...

  2. 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...

  3. 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...

  4. 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...

  5. 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...

  6. 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...

  7. 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     ...

  8. 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,...

  9. 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...

  10. 2014-Allen, Robert F., Cassandra Jens, and  Theodore J. Wendt - Perturbations in Epidemiological Models: When zombies attack, we can survive!

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

    Allen, Robert F., Cassandra Jens, and  Theodore J. Wendt. 2014. Perturbations in Epidemiological Models: When zombies attack, we can survive! Letters in Biomathematics. 1(2): 173-180.See...

  11. 2014-Brun, Pierre-Thomas, Neil Ribe, and Basile Audoly - An introduction to the mechanics of the lasso.

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

    Brun, Pierre-Thomas, Neil Ribe, and Basile Audoly. 2014. An introduction to the mechanics of the lasso. Proc. R. Soc. A 470. 18 pp.See https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2014.0512 .Abstract: Trick roping evolved from humble origins as a cattle catching tool into...

  12. 2012-Yuan, Yuan - A coupled plankton system with instantaneous and delayed predation

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

    Yuan, Yuan. 2012.  A coupled plankton system with instantaneous and delayed predation. Journal of Biological Dynamics. 6(2): 148-165.See https://www.tandfonline.com/doi/full/10.1080/17513758.2010.544409 .We present two simple plankton population models: one has instantaneous...

  13. 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...

  14. 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...

  15. 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...

  16. 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):...

  17. 2016-deBoer, Rob J. - Population Dynamics:  A Graphical Approach - Text

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

    deBoer, Rob J. 2016 .Modeling Population Dynamics:  A Graphical Approach.  http://tbb.bio.uu.nl/rdb/books/mpd.pdf . Accessed 6 September 2017. 193 pp.From the Preface,“This book is an introduction into modeling population dynamics in ecology. Because there are several good...

  18. 2014-De Ross, Andre M. - Modeling Population Dynamics - Text

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

    De Ross, Andre M. 2014. Modeling Population Dynamics. OnLine text.  222 pp.https://staff.fnwi.uva.nl/a.m.deroos/downloads/pdf_readers/syllabus.pdf . Accessed 4 September 2017From the Introduction to the text, “This course is intended as an introduction to the formulation,...

  19. 2017-Stan, Guy-Bart - Modelling in Biology.

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

    2017. Stan, Guy-Bart. Modelling in Biology. Class Notes. Imperial College of London. 71 pp.Keywords: differential equation, model, stability, equilibrium, bifurcation, mass action, spring mass, limit cycles.This is a very rich set of notes, rich in examples and ideas for modeling. In...

  20. 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...