
SIMIODE EXPO 2021  Minicourse MR1  Brian Winkel  Introduction to Differential Equations of Stochastic Processes
11 Feb 2021  Contributor(s):: Brian Winkel
SIMIODE EXPO 2021  Minicourse MR1  Brian Winkel  Introduction to Differential Equations of Stochastic ProcessesBrian Winkel, Director SIMIODE, Cornwall NY USAThis was a presentation made at the SIMIODE EXPO 2021  see program.Abstract: We describe efforts to...

James D Cordeiro
https://www.simiode.org/members/5080

2007Choisy, M., J.F. Guégan, and P. Rohani Mathematical Modeling of Infectious Diseases Dynamics.
01 Apr 2020  Contributor(s):: Brian Winkel
Choisy, M., J.F. Guégan, and P. Rohani1. 2007. Mathematical Modeling of Infectious Diseases...

2009Noakes, Catherine J. and P. Andrew Sleigh  Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
29 Mar 2020  Contributor(s):: Brian Winkel
Noakes, Catherine J. and P. Andrew Sleigh. 2009. Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards. J. R. Soc. Interface. 6: S791S800.See https://pubmed.ncbi.nlm.nih.gov/19812072/ .Abstract: Understanding the risk of...

2009Haran, Murali  An introduction to models for disease dynamics. Presentation
20 Mar 2020   Contributor(s):: Brian Winkel
Haran, Murali. 2009. An introduction to models for disease dynamics. Presentation. 68 slides. Opening slides: Useful to model and understand disease dynamics because: Important for basic science as well as public policy. Models for infectious diseases are...

Lester Ingber
Prof. Lester Ingber has published over 100 papers and books in theoretical physics, neuroscience, finance, optimization, combat analysis, karate, and education. Through Lester Ingber Research (LIR)...
https://www.simiode.org/members/4402

Leyla Ranjbari
I was born in EastAzerbaijan, Iran. My huge interest in learning and teaching drives me to chose the academic career. I look at teaching as an active learning and consider the research as an...
https://www.simiode.org/members/3761

Caleb Monoran
I am an undergraduate at Idaho State University seeking to obtain a dual major degree in Mathematics and Physics. I've had a strong passion for mathematics since my 8th grade, when I first...
https://www.simiode.org/members/3206

1141SM&MGameRevisited
27 Aug 2018   Contributor(s):: Mehdi HakimHashemi
In this project students will learn to find a probability distribution using the classical M&M game in SIMIODE.

1108SPoissonProcess
27 Aug 2018   Contributor(s):: Mehdi HakimHashemi
In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.

2002Norberg, Ragnar  Basic Life Insurance Mathematics
10 Sep 2017   Contributor(s):: Brian Winkel
Norberg, Ragnar. 2002. Basic Life Insurance Mathematics.See http://www.math.ku.dk/~mogens/lifebook.pdf . Accessed 10 September 2017.Presents fundamentals of life insurance, mortality, savings, banks, finance, reserves, pensions, stochastic processes.Keywords: life insurance,...

1039SStochasticPopModels
11 Sep 2016   Contributor(s):: Dan Flath
We offer students the opportunity to develop several strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t. We go further...

1001pgfSBirthDeathImmigration
09 Feb 2016   Contributor(s):: Chris McCarthy
We develop a mathematical model of a death and immigration process using m&m's as a stochastic process with the help of probability generating functions.

2015Knott, G. D.  Chemical Kinetics  Simple Binding
16 Sep 2015   Contributor(s):: Brian Winkel
Knott, G. D. 2015. Chemical Kinetics: Simple Binding F + G<=> B. Civilized Software, Inc.: www.civilized.com.This paper is offered by developer of MLAB, an advanced mathematical and statistical modeling system. MLAB is an ideal tool for mathematical and statistical...

1991Watson, 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): 507517.See https://www.tandfonline.com/doi/abs/10.1080/0020739910220402 .Article Abstract: An application is...

2011Zhao, 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,...

1027SStochasticProcesses
04 Jun 2015   Contributor(s):: Brian Winkel
We build the infinite set of first order differential equations for modeling a stochastic process, the socalled 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...