Positive global solutions for a general model of size-dependent population dynamics

DOI10.1155/S108533750000035XzbMath1012.92035OpenAlexW1999251615MaRDI QIDQ1608770

Nobuyuki Kato

Publication date: 13 August 2002

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50044

zbMATH Keywords

initial-boundary value problemcharacteristic curves

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Continuation and prolongation of solutions to PDEs (35B60) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (17)

Controllability of semilinear boundary problems with nonlocal initial conditions ⋮ Optimal harvesting for a size-stage-structured population model ⋮ A general model of size-dependent population dynamics with nonlinear growth rate ⋮ Abstract linear partial differential equations related to size-structured population models with diffusion ⋮ Optimal harvesting in a unidirectional consumer–resource mutualisms system with size structure in the consumer ⋮ Size-structured plant population models and harvesting problems ⋮ Optimal contraception control problems in a nonlinear size-structured vermin model ⋮ Analysis and control of physiologically structured models with nonlocal diffusion ⋮ An optimal birth control problem for a dynamical population model with size-structure ⋮ On the optimal harvesting of size-structured population dynamics ⋮ Maximum principle for a size-structured model of forest and carbon sequestration management ⋮ Optimal harvesting for nonlinear size-structured population dynamics ⋮ Existence, positivity and stability for a nonlinear model of cellular proliferation ⋮ Optimal contraception control for a nonlinear population model with size structure and a separable mortality ⋮ Stability results for a nonlinear two-species competition model with size-structure ⋮ Monotony and Comparison Principle in Non Autonomous Size Structured Models ⋮ Continuous dependence results for a general model of size-dependent population dynamics

This page was built for publication: Positive global solutions for a general model of size-dependent population dynamics