Generalized sensitivity functions for size-structured population models

Generalized sensitivity functions for size-structured population models

Abstract. Size-structured population models provide a popular means to mathematically describe phenomena such as bacterial aggregation, schooling fish, and planetesimal evolution. For parameter estimation, generalized sensitivity functions (GSFs) provide a tool that quantifies the impact of data from specific regions of the experimental domain. These functions help identify the most relevant da...

Sensitivity Equations for a Size-Structured Population Model

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 use of these equations are also presented.

Nonlinear Size - Structured Population Models A

In this dissertation, some size-structured population models are studied.In Chapter 1, a quasilinear size-structured model that describes the dynamics of apopulation with n competing ecotypes is studied. Under the assumption that the vitalrates of each subpopulation depend on the total population due to competition, theconditions on the individual rates which guarantee compe...

Weak Solutions and Differentiability for Size - Structured Population Models

Size-Specific Sensitivity: Applying a New Structured Population Model

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