A general model of size-dependent population dynamics with nonlinear growth rate

DOI10.1016/j.jmaa.2004.05.004zbMath1063.35011OpenAlexW1976458166MaRDI QIDQ1883087

Nobuyuki Kato

Publication date: 1 October 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.05.004

zbMATH Keywords

Schauder's fixed point theorem

Mathematics Subject Classification ID

Related Items (18)

Analysis of an efficient integrator for a size-structured population model with a dynamical resource ⋮ Abstract linear partial differential equations related to size-structured population models with diffusion ⋮ Optimal harvesting in a periodic food chain model with size structures in predators ⋮ Size-structured plant population models and harvesting problems ⋮ Oscillations in a fully connected network of leaky integrate-and-fire neurons with a Poisson spiking mechanism ⋮ Structured populations with diffusion and Feller conditions ⋮ Structured populations: The stabilizing effect of the inflow of newborns from an external source and the net growth rate ⋮ Optimal control of heterogeneous systems: basic theory ⋮ Study on the efficiency in the numerical integration of size-structured population models: error and computational cost ⋮ Stationary solutions to a system of size-structured populations with nonlinear growth rate ⋮ An adaptative model for a multistage structured population under fluctuating environment ⋮ Existence of equilibrium solutions to a size-structured predator-prey system with functional response ⋮ Linear stability and positivity results for a generalized size-structuredDaphniamodel with inflow§ ⋮ Stability results for a nonlinear two-species competition model with size-structure ⋮ Optimal Control of a Class of Size-Structured Systems ⋮ Structured populations with distributed recruitment: from PDE to delay formulation ⋮ A population harvesting model with time and size competition dependence function ⋮ A size-structured model describing flocculation of unicellular algae

Cites Work

• Unnamed Item
• A model of physiologically structured population dynamics with a nonlinear individual growth rate
• Positive global solutions for a general model of size-dependent population dynamics
• Local existence for a general model of size-dependent population dynamics
• Non-linear age-dependent population dynamics
• Continuous dependence results for a general model of size-dependent population dynamics
• EXISTENCE AND UNIQUENESS FOR HEIGHT STRUCTURED HIERARCHICAL POPULATION MODELS

This page was built for publication: A general model of size-dependent population dynamics with nonlinear growth rate