Size-Structured Population Models: Sensitivity & Probabilistic/Stochastic Formulations for Inclusion of Uncertainty/Variability in Growth

Document Type

Presentation Abstract

Presentation Date

4-16-2008

Abstract

Motivated by current efforts in modeling growth and mortality in shrimp populations to be used in vaccine production systems, 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 use of these equations are also presented. Furthermore, we compare two approaches for inclusion of uncertainty/variability in modeling growth in these size-structured population models. One entails imposing a probabilistic structure on growth rates in the population while the other involves formulating growth as a stochastic Markov diffusion process. We present a theoretical analysis that allows one to include comparable levels of uncertainty in the two distinct formulations in making comparisons of the two approaches.

Additional Details

Wednesday, 16 April 2008
4:10 p.m. in 103
3:30 p.m. Refreshments in Math Lounge 109

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