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Modeling and Inverse Problems in the Presence of Uncertainty
book

Modeling and Inverse Problems in the Presence of Uncertainty

by H. T. Banks, Shuhua Hu, W. Clayton Thompson
April 2014
Intermediate to advanced content levelIntermediate to advanced
405 pages
13h
English
Chapman and Hall/CRC
Content preview from Modeling and Inverse Problems in the Presence of Uncertainty
254 Modeling and Inverse Problems in the Presence of Uncertainty
where β(t, x) is the reproduction (birth) rate of individuals with size x at time
t. We observe that for this case we have a non-local boundary co nditio n at
x.
Next we consider the equation for a p opulation density in which mortality
is present. We observe that the density of a population with size x at time
t + t can be calculated by multiplying the probability that individuals with
size ζ at time t will move to x in a time increment t by the density of a
population with size ζ at time t and summing over all the values of ζ. That
is,
u(t + t, x) =
Z
R
u(t, ζ)(1 td(t, ζ))ρ(t + t, ...
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Publisher Resources

ISBN: 9781482206432