Math 463: Intro to Mathematical Biology
Final Project Decision: Due Fridday, October 16th
Its time to start thinking about your nal project. The rst step is choosing a topic
that interests you and a partner to work with. Please turn in a single piece of p
Math 463: Introduction to Mathematical Biology
Computer Lab Assignment #1
Based on the data in Table 1, we came up with the following simple model for the growth
of a bacterial culture:
pn+1 = pn + pn
where pn is the biomass of the bacteria after n time s
Math 463: Introduction to Mathematical Biology
Computer Lab Assignment #3
The Discrete Logistic Equation
The discrete logistic equation,
xn+1 = f (xn ) = rxn (1 xn )
is one of the simplest nonlinear dierence equations one can write down. Note that it
has
Math 463: Introduction to Mathematical Biology
Computer Lab Assignment #2
The goal of this lab is to give you some practice solving discrete equations with
MATLAB. Your task is to write some simple code that will iterate the discrete models
below.
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Math 463: Introduction to Mathematical Biology
Chapter 2 problems
1 (a)
xn = (1 )xn1 + xn
(1 )
xn =
xn1
(1 )
This equation is linear and its solution is xn = x0 (1 )/(1 )n when = 1
(e)
xn+1 =
K
k1 + k2 /xn
This equation is nonlinear and its equilibrium so