Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Sensitivity equations for a size-structured population model


Authors: H. T. Banks, Stacey L. Ernstberger and Shuhua Hu
Journal: Quart. Appl. Math. 67 (2009), 627-660
MSC (2000): Primary 93B35, 90C31, 92D25
DOI: https://doi.org/10.1090/S0033-569X-09-01105-1
Published electronically: May 5, 2009
MathSciNet review: 2588228
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Abstract: In this paper we consider the classical Sinko-Streifer size-structured population model and derive sensitivity partial differential equations for the sensitivities of solutions with respect to initial conditions, growth rate, mortality rate and fecundity rate. Sample numerical results to illustrate the use of these equations are also presented.


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Additional Information

H. T. Banks
Affiliation: Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8205

Stacey L. Ernstberger
Affiliation: Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8205

Shuhua Hu
Affiliation: Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8205

DOI: https://doi.org/10.1090/S0033-569X-09-01105-1
Keywords: Size-structured population models, sensitivity equations, method of characteristics, renewal equations, finite difference schemes
Received by editor(s): October 11, 2007
Published electronically: May 5, 2009
Article copyright: © Copyright 2009 Brown University
The copyright for this article reverts to public domain 28 years after publication.


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