
2015Joshi, Hem Raj, Suzanne Lenhart, Sanjukta Hota  Optimal control of an SIR model with changing behavior through an education campaign.
27 Mar 2020  Contributor(s):: Brian Winkel
Joshi, Hem Raj, Suzanne Lenhart, Sanjukta Hota. 2015 Optimal control of an SIR model with changing behavior through an education campaign. Electronic Journal of Differential Equations. 2015(50): 114.See https://ejde.math.txstate.edu/Volumes/2015/50/joshi.pdf .Abstract. An SIR type...

2014Hrydziuszko, Olga; Artur Wronaa; Joanna Balbusb; and Krystian Kubicaa  Mathematical Twocompartment Model of Human Cholesterol Transport in Application to High Blood Cholesterol Diagnosis and Treatment.
27 Mar 2020  Contributor(s):: Brian Winkel
Hrydziuszko, Olga; Artur Wronaa; Joanna Balbusb; and Krystian Kubicaa. 2014. Mathematical Twocompartment Model of Human Cholesterol Transport in Application to High Blood Cholesterol Diagnosis and Treatment. Electronic Notes in Theoretical Computer Science. 306: ...

2015Audestad, Jan A.  Some Dynamic Market Models.
26 Mar 2020  Contributor(s):: Brian Winkel
Audestad, Jan A. 2015. Some Dynamic Market Models. Norwegian University of Science and Technology, Gjøvik University College. Small Text. 49 pp.See https://arxiv.org/ftp/arxiv/papers/1511/1511.07203.pdf .ABSTRACT: In this text, we study the behavior of...

2018BaxterModeling Public Opinion. Thesis.
26 Mar 2020  Contributor(s):: Brian Winkel
Baxter, Arden. 2018. Modeling Public Opinion. Rollins College. Thesis.See https://scholarship.rollins.edu/honors/67/ .1 IntroductionPopulation models are used to study the dynamics of a population. In particular, dynamic population models are applied to populations that...

2009Chellaboina, Vijaysekhar, Sanjay P. Bhat, Wassil M. Haddad, Dennis S. Bernstein  Modeling And Analysis  Mass Action Kinetics.
26 Mar 2020  Contributor(s):: Brian Winkel
Chellaboina, Vijaysekhar, Sanjay P. Bhat, Wassil M. Haddad, Dennis S. Bernstein. 2009. Modeling And Analysis  Mass Action Kinetics. IEEE Control Systems Magazine. August. 6078.See https://ieeexplore.ieee.org/document/5184956. From the Introduction:"Massaction...

2014Bodine, Erin N.  Discrete Difference Equations.
26 Mar 2020  Contributor(s):: Brian Winkel
Bodine, Erin N. Discrete Difference Equations. Rhodes College. Notes. 37 pp. From, An Introduction to Discrete Mathematical Modeling"The field of mathematics provides many dierent means for modeling the world around us. Some mathematical toolsare...

2017Liu, Xiang  Mathematical Studies of Optimal Economic Growth Model with Monetary Policy. Thesis.
25 Mar 2020  Contributor(s):: Brian Winkel
Liu, Xiang . 2017. Mathematical Studies of Optimal Economic Growth Model with Monetary Policy. College of William & Mary: W&M Scholar Works. Thesis. 58 pp.Abstract: In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from SolowSwan Model...

2000Erdman, Donald and Maurice M. Morelock  A Study of Kinetics: The Estimation and Simulation of Systems of FirstOrder Differential Equations. Notes.
25 Mar 2020  Contributor(s):: Brian Winkel
Erdman, Donald and Maurice M. Morelock. 2000. A Study of Kinetics: The Estimation and Simulation of Systems of FirstOrder Differential Equations. Notes. 8...

2018Akman, Devin, Olcay Akman, and Elsa Schaefer  Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization.
24 Mar 2020  Contributor(s):: Brian Winkel
Akman, Devin, Olcay Akman, and Elsa Schaefer. 2018. Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization. Journal of Applied Mathematics. Volume 2018. pp 110.See https://econpapers.repec.org/article/hinjnljam/9160793.htm...

2018Reed, Hanna  Mathematical Models of Mosquito Populations. University of Central Florida. Honors Thesis.
24 Mar 2020  Contributor(s):: Brian Winkel
Reed, Hanna. 2018. Mathematical Models of Mosquito Populations. University of Central Florida. Honors Thesis. 38 pp.ABSTRACT: The intent of this thesis is to develop ordinary differential equation models to better understand the mosquito population. We first develop a framework model, where...

2019Stender, M., S. Oberst, and N. Hoffman  Recovery of Differential Equations from Impulse Response Time Series Data for Model Identification and Feature Extraction.
23 Mar 2020  Contributor(s):: Brian Winkel
Stender, M., S. Oberst, and N. Hoffman. 2019. Recovery of Differential Equations from Impulse Response Time Series Data for Model Identification and Feature Extraction. Vibration. 2:2546.See  https://www.mdpi.com/2571631X/2/1/2/pdf . Abstract: Time recordings of impulsetype...

2016Rodrigues, Helena Sofia  Application of SIR epidemiological model: new trends
20 Mar 2020  Contributor(s):: Brian Winkel
Rodrigues, Helena Sofia. 2016. Application of SIR epidemiological model: new trends. International Journal of Applied Mathematics and Informatics. 10: 9297. 2016 See https://arxiv.org/abs/1611.02565 .Abstract: The simplest epidemiologic model composed by mutually...

2011Chitnis, Nakul  Introduction to Mathematical Epidemiology: Deterministic Compartmental Model
16 Mar 2020  Contributor(s):: Brian Winkel
Chitnis, Nakul. 2011. Introduction to Mathematical Epidemiology: Deterministic Compartmental Model. Notes. 12 pp.See http://www.luchsingermathematics.ch/MEDeterministicCompartmentalModels.pdf .Introduction: Deterministic compartmental models form the simplest models in the...

2009Keane, Therese  Combat modelling with partial differential equations.
16 Mar 2020  Contributor(s):: Brian Winkel
Keane, Therese. 2011. Combat modelling with partial differential equations. Applied Mathematical Modelling. 35: 2723–2735.See https://www.sciencedirect.com/science/article/pii/S0307904X10004671 .The limitations of the classic work of Lanchester on nonspatial ordinary...

2006Coleman, Michael J.  Population Modeling with Ordinary Differential Equations  Notes.
13 Mar 2020  Contributor(s):: Brian Winkel
Coleman, Michael J. 2006. Population Modeling with Ordinary Differential Equations  Notes. See https://www2.gwu.edu/~mathgss/old_site/Slides/MikeC_Seminar.pdfAbstract: Population modeling is a common application of ordinary differential equations and can be studied...

7011TextSCoupledSystemLaplace
31 Mar 2019   Contributor(s):: Mitaxi Pranlal Mehta
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...

2017Bonin, Carla Rezende Barbosa; Guilherme Cortes Fernandes; Rodrigo Weber Dos Santos; and Marcelo Lobosco  Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology.
09 Dec 2018   Contributor(s):: Brian Winkel
Bonin, Carla Rezende Barbosa; Guilherme Cortes Fernandes; Rodrigo Weber Dos Santos; and Marcelo Lobosco. 2017. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology. Human Vaccines and Immunotherapy. 13(2):...

6065SInternetPlatformUsers
30 Oct 2018   Contributor(s):: Victoria Rayskin
A model estimating the volume of users interacting through a twosided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

6024SDronePackageDelivery
18 Sep 2018   Contributor(s):: Eric Stachura, Rob Krueger
In this scenario, students will begin by carefully reading through the problem statement and uncovering which information is useful. Students will derive a system of differential equations which describe the flight path of a drone delivering a package. Techniques used to derive the analytical...

6003SSchoolFluEpidemic
28 Aug 2018   Contributor(s):: Darrell Weldon Pepper
We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.