Tags: bifurcation

Potential Scenario Ideas (1-16 of 16)

  1. 2006-Cooke, Kenneth L, Richard H Elderkin, and Wenzhang Huang - Predator-Prey interactions with delays due to juvenile maturation

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

    2006-CookeEtAlPred-PreyWithDelaysDueToJuvinileMaturationCooke, Kenneth L, Richard H Elderkin, and Wenzhang Huang. 2006. Predator-Prey interactions with delays due to juvenile maturation. SIAM J. APPL. MATH.  66(3): 1050-1079.See https://epubs.siam.org/doi/abs/10.1137/05063135...

  2. 2009-Schaffer, W. M.  and   T. V. Bronnikova - Controlling malaria: competition, seasonality and 'slingshotting' transgenic mosquitoes into natural populations.

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

    Schaffer, W. M.  and   T. V. Bronnikova. 2009. Controlling malaria: competition, seasonality and ‘slingshotting’ transgenic mosquitoes into natural populations. Journal of Biological Dynamics. 3(2-3):  286-304.See https://pubmed.ncbi.nlm.nih.gov/22880835/...

  3. 2009-Unknown - Bifurcation Analysis

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

    2009. Bifurcation Analysis – One Dimensional ODEs. Notes. 11 pp.This document contains many rich illustrations of various kinds of bifurcation in the context of applications. E.g. harvesting, magnetometer, spruce budworm,Kywords: differential equation, model, bifurcation, analysis,...

  4. 2010-Chicone, C. - Mathematical Modeling and Chemical Kinetics. Notes

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

    2010-Chicone-MathModelingANDChemicalKineticsChicone, C.  2010. Mathematical Modeling and Chemical Kinetics. Notes. 14 pp.Motivated by physical science motion laws the author moves into kinetics and life science applications of differential equations.From early section...

  5. 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...

  6. 2013-Beckley, Ross; Cametria Weatherspoon; Michael Alexander; Marissa Chandler; Anthony Johnson, and Ghan S Bhatt - Modeling epidemics with differential equations.

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

    Ross Beckley, Cametria Weatherspoon, Michael Alexander, Marissa Chandler, Anthony Johnson, and Ghan S Bhatt. 2013. Modeling epidemics with differential equations. Class project Tennessee State University and Philander Smith University.Abstract: Abstract. The well known SIR models...

  7. 2013-Herald, Christopher M., Satoko Kurita, and Aleksey S. Telyakovskiy - Simple Climate Models to Illustrate How Bifurcations Can Alter Equilibria and Stability.

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

    Herald, Christopher M., Satoko Kurita, and Aleksey S. Telyakovskiy. 2013. Simple Climate Models to Illustrate How Bifurcations Can Alter Equilibria and Stability. Journal of Contemporary Water Research & Education. 152:...

  8. 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...

  9. 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,...

  10. 2015-Sayama, U. - Intro to Modeling and Analysis of Complex Systems

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

    Sayama, U. 2015. Intro to Modeling and Analysis of Complex Systems. Geneseo NY: Open SUNY Textbooks. 498 pp.Available at https://textbooks.opensuny.org/introduction-to-the-modeling-and-analysis-of-complex-systems/ . Accessed 10 September 2017.From web site, “Introduction to the...

  11. 2016-Barbarossa, Maria Vittoria and Christina Kuttler - Mathematical Modeling of Bacteria Communication in Continuous Cultures.

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

    Barbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 1-17.See https://www.researchgate.net/publication/303246621_Mathematical_Modeling_of_Bacteria_Communication_in_Continuous_Cultures...

  12. 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...

  13. 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...

  14. 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...

  15. 2018-Banerjee, Malay, Nayana Mukherjee, and Vitaly Volpert - Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey.

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

    Banerjee, Malay, Nayana Mukherjee, and Vitaly Volpert. 2018. Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey. Mathematics. 6(41). 13 pp.See https://www.mdpi.com/2227-7390/6/3/41 .Abstract: Spatiotemporal pattern formation in integro-differential equation models of...

  16. 2018-Unknown - The Logistic Differential Equation - Notes

    03 Mar 2018 | | Contributor(s):: Brian Winkel

    The Logistic Differential Equation. Notes. 7 pp.Goals from the notes:• MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .• MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometricallyand...