On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability)

DOI10.1142/S0218202522500269zbMath1498.92146arXiv2111.09678OpenAlexW3213827522WikidataQ114072928 ScholiaQ114072928MaRDI QIDQ5104582

Carles Barril, József Z. Farkas, Àngel Calsina, Odo Diekmann

Publication date: 14 September 2022

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.09678

zbMATH Keywords

physiologically structured populationsdelay formulation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Functional-differential equations in abstract spaces (34K30) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (2)

Modelling physiologically structured populations: renewal equations and partial differential equations ⋮ On models of physiologically structured populations and their reduction to ordinary differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Steady-state analysis of structured population models
• Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example
• Equations with infinite delay: blending the abstract and the concrete
• Well-posedness of physiologically structured population models for Daphnia magna. How biological concepts can benefit by abstract mathematical analysis
• Statistical validation of structured population models for \textit{Daphnia magna}
• A model of physiologically structured population dynamics with a nonlinear individual growth rate
• On the formulation and analysis of general deterministic structured population models. II. Nonlinear theory
• On the formulation and analysis of general deterministic structured population models. I: Linear theory
• Continuous structured population models for \textit{Daphnia magna}
• Delay equations. Functional-, complex-, and nonlinear analysis
• Theory and applications of abstract semilinear Cauchy problems
• Erratum to: ``Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example
• Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation
• Second-order finite difference approximation for a nonlinear size-structured population model with an indefinite growth rate coupled with the environment
• One dimensional reduction of a renewal equation for a measure-valued function of time describing population dynamics
• Linearization of solution operators for state-dependent delay equations: a simple example
• Computing the Eigenvalues of Realistic Daphnia Models by Pseudospectral Methods
• Cauchy problems with state-dependent time evolution
• Stability and Bifurcation Analysis of Volterra Functional Equations in the Light of Suns and Stars
• Translation Semigroups and Their Linearizations on Spaces of Integrable Functions
• Measure Solutions To The Conservative Renewal Equation
• Linear stability and positivity results for a generalized size-structuredDaphniamodel with inflow§
• Positive Steady States of Evolution Equations with Finite Dimensional Nonlinearities
• Structured populations with distributed recruitment: from PDE to delay formulation

This page was built for publication: On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability)