Linear Size-structured Population Models with Spacial Diffusion and Optimal Harvesting Problems

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...

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...

Some Non-Local Population Models with Non-Linear Diffusion

In this paper we present some theoretical results concerning to a non-local elliptic equation with non-linear diffusion arising from population dynamics.

Weak Solutions and Differentiability for Size - Structured Population Models

Optimal Harvesting for an Age-Spatial-Structured Population Dynamic Model with External Mortality

and Applied Analysis 3 ∂u ∂η x, t, a 0 on Σ ∂Ω × 0, T × 0, A , u x, 0, a u0 x, a in Ω × 0, A , u x, t, 0 ∫A 0 β x, t, a u x, t, a da in Ω × 0, T , Pw x, t ∫A 0 w x, α u x, t, α dα in Ω × 0, T , 1.3 whereΩ is a bounded domain inR with smooth boundary ∂Ω, v x, t, a is a harvesting rate, and w is a positive function in L∞ Ω × 0, A . We study an optimal control problem relating to the dynamic syste...