Fall 2011
Math 636
Diabetes Models
All answers need to be written in a clear, succinct manner. Write a brief paragraph
summarizing the answers to the problems with each answer clearly stated in a sentence. Supporting graphs should be provided when asked f
Fall 2010
Modeling Diabetes
Math 636
Diabetes is a disease that is characterized by excessive glucose in the blood stream. Currently, there is an epidemic of diabetes that has resulted from unhealthy lifestyles, which are
dramatically dierent from how hum
Fall 2009
Epidemic Models
Math 636
Modeling in the eld of epidemiology has its roots in the early twentieth century. Sir
Ronald Ross (1857-1932) studied the spread of malaria and developed the important idea that
one didnt need to eradicate all mosquitoes
Fall 2009
Math 636
Markov Chain Theory
The simplest of stochastic processes is one where the current state decides the next state of
the system. If a discrete stochastic process depends only on the current state (so is independent
of its past history), th
Monte Carlo Ziechriiques
The Monte Carlo method {or method of statistical trials} consists of solving various problems
of computational mathematics by means of some random process, This process is used for complex
modeling problems which are too dicult t
Fall 2012
Math 636
Allometric Models and Dimensional Analysis
All answers need to be written in a clear, succinct manner. Write a brief paragraph
summarizing the answers to the problems with each answer clearly stated in a sentence. Supporting graphs shou
Fall 2011
Math 636
Dierential Equation Models - HW3
Begin by working the HW problems assigned in WeBWorK. Some of those questions ask for
graphs and written explanations, so you will need to include that information in your HW
assignment turned in with th
Fall 2012
Math 636
Discrete Models
Begin by working the HW problems assigned in WeBWorK. Some of those questions ask for
graphs and written explanations (usually noted In your Lab report., so you will need to include that information in your HW assignment
Fall 2011
Math 636
Bifurcation and Predator-Prey Models
1. In class we examined basic models for shing with constant limits and proportional harvesting. Below we outline a model for the population of sh with a Hollings Type II term for
the harvesting of s
Fall 2011
Math 636
Epidemic Models
1. Gonorrhea ranks high among reportable communicable diseases in the United States. This
disease is spread by sexual contact and if untreated can result in blindness, sterility, arthritis,
heart failure, and possibly de
Fall 2011
Math 636
Monte Carlo Methods
1. a. Perform two Monte Carlo simulations for the Schmitz and Kwak study of the Deaconesse
Hospital, using their assumptions, for each of the cases with 4 and 5 operating rooms and having
a patient load of 32 patient
Fall 2009
Math 636
Bifurcation Analysis - One Dimensional ODEs
Population Models
Earlier in the lecture, we noted that growth of populations tend to follow classic S-shaped
curves. When there are abundant resources, a population will grow exponentially, s