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6-040-S-StruggleForExistence
23 Nov 2016 | | Contributor(s):: Brian Winkel
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters.
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5-030-S-Text-LinNonHomoSystemSol
26 Aug 2016 | | Contributor(s):: Brian Winkel
We offer strategies for solving linear systems of nonhomogeneous differential equations of the form X'(t) = A X(t) + G(t) using a conjectured solution strategy for a system of constant coefficient, linear, nonhomogeneous, differential equations.
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1-029-S-ConeToCubeFlow
02 Mar 2016 | | Contributor(s):: Sania Qureshi
We consider a configuration of two containers. An inverted right circular cone with a hole in point at the bottom is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we wish to model the water flow from cone to cube and...
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Zim Olson
Zim Olson's Story, Bio, Background and Video "Story Project" by Rocky Mountain PBS. https://youtu.be/C5W8hsg-_lY
https://www.simiode.org/members/1243
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1968-Wagner, J. G.,G. K. Aghajanian, and O. H. L. Bing - Correlation of performance test scores with tissue concentration of lysergic acid diethylamide.
26 Jun 2015 | | Contributor(s):: J. G. Wagner, G. K. Aghajanian, O. H. L. Bing
Wagner, J. G.,G. K. Aghajanian, and O. H. L. Bing. 1968. Correlation of performance test scores with tissue concentration of lysergic acid diethylamide. Clinical Pharmacology and Therapeutics. 9(5): 635-638.See https://ascpt.onlinelibrary.wiley.com/doi/10.1002/cpt196895635 .This...
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1991-Watson, Jane M. - Building probability models in a differential equations course
26 Jun 2015 | | Contributor(s):: Jane M. Watson
Watson, Jane M. 1991. Building probability models in a differential equations course. International Journal of Mathematical Education in Science and Technology. 22(4): 507-517.See https://www.tandfonline.com/doi/abs/10.1080/0020739910220402 .Article Abstract: An application is...
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2011-Zhao, D. I. - Differential Equation Models for Systems Biology: A Survey. Computational Analysis and Modeling
24 Jun 2015 | | Contributor(s):: D. I. Zhao
Zhao, D. I. 2011. Differential Equation Models for Systems Biology: A Survey. Computational Analysis and Modeling, Lousiana Tech University, Ruston LA USA. 30 pp.See http://www.advancedcomputing.cn/sys_bio_review.pdf . Accessed 22 June 2015.Abstract: In this paper,...
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2010-Kar,T. K. and Kunal Chakraborty - Bioeconomic modelling of a prey predator system using differential algebraic equations
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...
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2001-Edwards, David A. and Ron Buckmire - A differential equation model of North American cinematic box-office dynamics.
20 Jun 2015 | | Contributor(s):: David A. Edwards, Ron Buckmire
Edwards, David A. and Ron Buckmire. 2001. A differential equation model of North American cinematic box-office dynamics. IMA Journal of Management Mathematics. 12: 41-74.See https://academic.oup.com/imaman/article-abstract/12/1/41/664476?redirectedFrom=fulltext .Article Abstract: A...
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2007-Myers, Joseph and Brian Winkel - Mystery Circuit in Mathematics Class.
20 Jun 2015 | | Contributor(s):: Joseph Myers, Brian Winkel
Myers, Joseph and Brian Winkel. 2007. Mystery Circuit in Mathematics Class. The UMAP Journal. 28(1): 15-25.Article Abstract: We discuss the introduction, student discovery, and teaching of a system of differential equations that model a circuit. In an engineering mathematics...
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1966-Intriligator, Michael D. and Dagobert L. Brito - Predator-Prey Model of Guerrilla Warfare
20 Jun 2015 | | Contributor(s):: Michael D. Intriligator, Dagobert L. Brito
Article Review and AnnotationIntriligator, Michael D. and Dagobert L. Brito. 1988. A Predator-Prey Model of Guerrilla Warfare. Synthese . 76(2): 235-244. Special issue: Formal Analysis in International Relations.Excerpt from Article Abstract: “The purpose of this paper...
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1-027-S-StochasticProcesses
04 Jun 2015 | | Contributor(s):: Brian Winkel
We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success. We work to build our model of random events which...
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2008-Landry, Keith and Brian Winkel - Peak Frequency Responses and Tuned Mass Dampers -- Exciting Applications of Systems of Differential Equations
31 May 2015 | | Contributor(s):: Keith Alan Landry, Brian Winkel
From Landry, Keith and Brian Winkel. 2008. Peak-Frequency Responses and Tuned Mass Dampers—Exciting Applications of Systems ofDifferential Equations. The UMAP Journal 29(1): 15-30.We present two applications of systems of ordinary differential equations concerning...