Size-structured plant population models and harvesting problems

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...

Dynamics of Stage-structured Population Models with Harvesting Pulses

In most models of population dynamics, changes in population due to birth or harvesting are assumed to be time-independent, but many species reproduce or are caught only during a single period of the year. In this paper a single species stage-structured model with density-dependent maturation rate, birth pulse and harvesting pulse is formulated. Using the discrete dynamical system determined by...

Weak Solutions and Differentiability 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...

Effective population size and population subdivision in demographically structured populations.

A fast-timescale approximation is applied to the coalescent process in a single population, which is demographically structured by sex and/or age. This provides a general expression for the probability that a pair of alleles sampled from the population coalesce in the previous time interval. The effective population size is defined as the reciprocal of twice the product of generation time and t...