
2000Idels, Lev. V. and Mei Wang  Harvesting Fisheries Management Strategies With Modified Effort Function
12 Sep 2017  Contributor(s):: Brian Winkel
Idels, Lev. V. and Mei Wang. 2000. Harvesting Fisheries Management Strategies With Modified Effort Function. Int. J. Modelling, Identification and Control. Preprint.See https://arxiv.org/ftp/math/papers/0601/0601539.pdf .Abstract: In traditional harvesting model a fishing effort E is...

2010Steinworkth, Bailey, Yuhui Wand, and Xing Zhang  Modeling of a Fish Population and the Effects of Overfishing.
12 Sep 2017  Contributor(s):: Brian Winkel
Steinworkth, Bailey, Yuhui Wand, and Xing Zhang. 2010. Modeling of a Fish Population and the Effects of Overfishing. Student Project. James Madison University. 22 pp.Abstract: According to the United Nations, 200 million people depend on fishing as their source of food or livelihood.1...

2015Sebesyen, 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): 16.See https://www.researchgate.net/publication/294108452_Invasive_Species_Model_with_Linear_Rat_Harvesting_on_Easter_Island .From the paper we...

2017Roux, Jean Mathematical Models in Air Quality Problems  Notes
11 Sep 2017  Contributor(s):: Brian Winkel
Roux, Jean. Mathematical Models in Air Quality Problems. Notes. 26 pages.Presents many models with analysis in air quality control. Starts with chemical kinetics models and builds complexity to PDE models.Keywords: differential equation, model, finite difference, chemical kinetics,...

2014Niemann, Henrik and Robert Miklos  A Simple Method for Estimation of Parameters in First order Systems.
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: 112.See https://iopscience.iop.org/article/10.1088/17426596/570/1/012001/pdf .Abstract: A simple method for...

2004Rescigno, Aldo  On the use of pharmacokinetic models.
11 Sep 2017  Contributor(s):: Brian Winkel
Rescigno, Aldo. 2004. On the use of pharmacokinetic models. Phys. Med. Biol. 49: 46574676.See https://tauruspet.med.yale.edu/staff/edm42/courses/ENAS_915_2014/papers/Rescignouse%20of%20models%20PMB%202004%20%2000319155_49_19_014.pdf .Abstract: Extensive use of models in...

2013Rumbos, Adolfo  Mathematicd Modeling
11 Sep 2017  Contributor(s):: Brian Winkel
Rumbos, Adolfo. 2013. Mathematics Modeling. Draft Text. 95 pp.Chapter 3 deals with traffic flow models and does a terrific job in explaining the model building of the partial differential equation for traffic density at position x and time t. It then goes on to solve and interpret the...

2009Mallett, Travis and Josh Fetbrandt  Differential Equations Class Notes.
11 Sep 2017  Contributor(s):: Brian Winkel
Mallett, Travis and Josh Fetbrandt. 2009. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and...

2001Knisley, Jeff and Lyndell Kerley  Using data to motivate the models used in introductory differential equations.
11 Sep 2017  Contributor(s):: Brian Winkel
Knisley, Jeff and Lyndell Kerley. 2001. Using data to motivate the models used in introductory differential equations. PRIMUS. 11(2): 111123.See https://www.tandfonline.com/doi/abs/10.1080/10511970108965983 .Abstract: Although data is often used to estimate parameters for models in...

2017Morin, David  Oscillations  Notes
11 Sep 2017  Contributor(s):: Brian Winkel
Morin, David. Oscillations. http://www.people.fas.harvard.edu/~djmorin/waves/oscillations.pdf . Accessed 11 September 2017. Notes. 37 pp.From the first page“A wave is a correlated collection of oscillations. For example, in a transverse wave traveling along a string, each point in...

2011Nguyen, Olivia and Xiaoyu Shi  Modeling the absorption, circulation, and metabolism of tirapazamine
11 Sep 2017  Contributor(s):: Brian Winkel
Nguyen, Olivia and Xiaoyu Shi. 2011. Modeling the absorption, circulation, and metabolism of tirapazamine.http://www.isn.ucsd.edu/courses/beng221/problems/2011/project02.pdf . Accessed 10 Sept 2017.This apparently is a student project and it develops the kinetic model, uses...

2007Chern, ILiang  Mathematical Modeling and Differential Equations. Notes.
11 Sep 2017  Contributor(s):: Brian Winkel
Chern, ILiang. 2007. Mathematical Modeling and Differential Equations. Notes. 223 pp.See http://www.math.ntu.edu.tw/~chern/notes/ode2015.pdf . Accessed 10 September 2017.From the first chapter,In science, we explore and understand our real world by observations, collecting...

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

2015Easton, 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...

2017Emerson, Bruce  Wonderful World of Differential Equations
11 Sep 2017  Contributor(s):: Brian Winkel
Wonderful World of Differential Equations. Notes. 52 pp. http://coccweb.cocc.edu/bemerson/PhysicsGlobal/Courses/PH213/PH213Learning/PH213WebR/documents/DiffEqIntro.pdf . Accessed 11 September 2017.This is a terrific set of noted with models and applications woven into the material at...

2012Unknown  Applied Differential Equations. Notes
11 Sep 2017  Contributor(s):: Brian Winkel
2012Applied Differential Equations. Notes. 34 pp.Set of notes on solution strategies for first order differential equations with attention to detail in solutions and several models: tank mixing problems, mortgage, escape velocityKeywords: differential equation, model, first order, tank...

2005Tarantola, Albert  Inverse Problem Theory and Methods for Model Parameter Estimation. Text
11 Sep 2017  Contributor(s):: Brian Winkel
Tarantola, Albert. 2005. Inverse Problem Theory and Methods for Model Parameter Estimation, Philadelphia: SIAM. 358 pp. See http://www.ipgp.fr/~tarantola/Files/Professional/Books/InverseProblemTheory.pdf . Accessed 10 September 2017.This is a bible of approaches to support...

2010Phillips, Collin  Modelling and Calculus. Draft Text
11 Sep 2017  Contributor(s):: Brian Winkel
Phillips, Collin. 2010. Modelling and Calculus. Draft Text. 72 pp.Basically, this is what the author offers, “The interpretation and translation of natural and real world problems that are described in words into a specification and description of the modelling problem in the language...

2012Rusinko, Joseph and Hannah Swan  AgentBased Fabric Modeling Using Differential Equations.
11 Sep 2017  Contributor(s):: Brian Winkel
Rusinko, Joseph and Hannah Swan. 2012. AgentBased Fabric Modeling Using Differential Equations. CODEE Journal. 9(1):112.See http://scholarship.claremont.edu/codee/vol9/iss1/7/ . Accessed 10 September 2017.Abstract: We use an agentbased modeling software, NetLogo, to simulate...

2012Misra, 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 nonlinear mathematical model...