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  1. 1967-Israelsson, D. and A. Johnsson - Circumnutations In Helianthus Annuus

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

    Israelsson, D. and A. Johnsson. 1967. A Theory for Circumnutations in Helianthus annuus.  Physiologia Plantarum. 20:  957-976.https://onlinelibrary.wiley.com/doi/10.1111/j.1399-3054.1967.tb08383.x Abstract:“A theory is given for circumnutations in plants,...

  2. 1969-Israelsson, D. and A. Johnsson - Phase Shift In Geotropical Oscillations

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

    Israelsson, D. and A. Johnsson. 1969. Phase-shift in Geotropic Oscillations a Theoretical and Experimental Study.  Physiologia Plantarum. 22:  1226-1237.See https://pubmed.ncbi.nlm.nih.gov/20925673/ .The paper studies geotropical induced phase-shifts in circumnutations (turning)...

  3. 1975-Burghes, David N. - Population dynamics An introduction to differential equations

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    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...

  4. 1977-Mackey,  Michael C. and Leon Glass - Oscillation and Chaos in Physiological Control Systems

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    26 Jun 2015 | Contributor(s):: Michael C. Mackey, Leon Glass, William Clark

    Mackey,  Michael C. and Leon Glass. 1977. Oscillation and Chaos in Physiological Control Systems. Science. 197: 287-289.See https://www.science.org/doi/abs/10.1126/science.267326 .Article Abstract: First-order nonlinear differential-delay equations describing physiological control...

  5. 2002-Nelson, P. W. and A. S. Perelson - Mathematical analysis of delay differential equations models of HIV-1 infection

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

    Nelson, P. W. and A. S. Perelson. 2002. Mathematical analysis of delay differential equations models of HIV-1 infection. Mathematical Biosciences. 179: 73-94.See http://math.lsa.umich.edu/~pwn/MBiosci2.pdf .Abstract: Models of HIV-1 infection that include intracellular delays are...

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

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

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    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...

  8. 2006-Cooke, Kenneth L, Richard H Elderkin, and Wenzhang Huang - Predator-Prey interactions with delays due to juvenile maturation

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    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...

  9. 2006-Ruan, Shigui - Delay differential equations in single species dynamics.

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

    2006-Ruan-DelayDifferentialEquationsinSingleSpeciesDynamicsRuan, Shigui. 2006. Delay differential equations in single species dynamics.  In O. Arino et al. (eds.), Delay Differential Equations and Applications. Springer, Berlin, 2006, pp....

  10. 2010-Kar,T. K. and Kunal Chakraborty - Bioeconomic modelling of a prey predator system using differential algebraic equations

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    21 Jun 2015 | Contributor(s):: T. K. Kar, Kunal Chakraborty

    T. K. Kar and Kunal Chakraborty. 2010. Bioeconomic modelling of a prey predator system using differential algebraic equations. International Journal of Engineering, Science and Technology . 2(1): 13-34Article Abstract: We propose a biological economic model based on prey-predator dynamics...

  11. 2011-Kreith, Kurt - The Mathematics of Global Change

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    25 Jun 2015 | | Contributor(s):: Kurt Kreith

    Kreith, Kurt. 2011. The Mathematics of Global Change.  The Journal of Mathematics Education at Teachers College. Fall-Winter, Volume 2: 37-44.This work is freely available at the journal's web site at http://journals.tc-library.org/index.php/matheducation/article/viewFile/725/455...

  12. 2011-Yafia, Radouane - A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System.

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    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...

  13. 2012-Yuan, Yuan - A coupled plankton system with instantaneous and delayed predation

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    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...

  14. 2013-Greer, Meredith L., Holly A. Ewing, Kathryn L. Cottingham, and Kathleen C. Weathers - Source: Collaborative Understanding of Cyanobacteria in Lake Ecosystems.

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

    Greer, Meredith L., Holly A. Ewing, Kathryn L. Cottingham, and Kathleen C. Weathers. 2013.  Source: Collaborative Understanding of Cyanobacteria in Lake Ecosystems. The College Mathematics Journal.  44(5):...

  15. 2013-Nelson, Shawna - Population Modeling with Delay Differential Equations. Master of Science Thesis.

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

    Nelson, Shawna. 2013 Population Modeling with Delay Differential Equations. Master of Science Thesis. Rochester Institute of Technology, Rechester NY USA.See https://scholarworks.rit.edu/cgi/viewcontent.cgi?article=10264&context=theses .Abstract: We investigate a delay...

  16. 2013-Rihan, Fathalla A. - Delay Differential Equations in Biosciences: Parameter estimation and sensitivity analysis

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

    Rihan, Fathalla A. 2013. Delay Differential Equations in Biosciences: Parameter estimation and sensitivity analysis. Proceedings of the 2013 International Conference on Applied Mathematics and Computational Methods.  pp....

  17. 2014-Niemann, Henrik and Robert Miklos - A Simple Method for Estimation of Parameters in First order Systems.

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

    Niemann, Henrik and Robert Miklos. 2014. A Simple Method for Estimation of Parameters in First order Systems. Systems. Journal of Physics: Conference Series. 570: 1-12.See https://iopscience.iop.org/article/10.1088/1742-6596/570/1/012001/pdf .Abstract:  A simple method for...

  18. 2015-Boggess, Erin, Jordan Collignon, and Alanna Riederer - Mathematical Modeling in Ecology: Simulating the Reintroduction of the Extinct Passenger Pigeon (Ectopistes migratorius).

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    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...

  19. 2015-Easton, Jonathan - Mathematical models of health focusing on diabetes: Delay differential equations and data mining. Doctoral thesis.

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    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...

  20. 2015-Zhang, Meimei and Wenmin Wang - Study on public opinion propagation in self media age based on time delay differential model.

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

    Zhang, Meimei and Wenmin Wang. 2017. Study on public opinion propagation in self media age based on time delay differential model. Procedia Computer Science. 122: 486-493.See https://www.sciencedirect.com/science/article/pii/S187705091732642X .Abstract: With the emergence and...