Sensitivity equations for a size-structured population model

Banks, H.; Ernstberger, Stacey; Hu, Shuhua

doi:10.1090/S0033-569X-09-01105-1

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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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