Quarterly of Applied Mathematics

Author(s): H. T. Banks; Stacey L. Ernstberger; Shuhua Hu
Journal: Quart. Appl. Math.
MSC (2000): Primary 93B35, 90C31, 92D25
Posted: May 5, 2009
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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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Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 93B35, 90C31, 92D25

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

PII: 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
Posted: May 5, 2009
Copyright of article: Copyright 2009, Brown University
The copyright for this article reverts to public domain after 28 years from publication.

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Online ISSN: 1552-4485 Print ISSN: 0033-569X

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