Collocation Techniques for Structured Populations Modeled by Delay Equations
From MaRDI portal
Publication:3300574
DOI10.1007/978-3-030-41120-6_3zbMath1447.37077OpenAlexW3021297805MaRDI QIDQ3300574
Publication date: 29 July 2020
Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-41120-6_3
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) General biology and biomathematics (92B05)
Related Items (4)
Piecewise orthogonal collocation for computing periodic solutions of renewal equations ⋮ Efficient numerical computation of the basic reproduction number for structured populations ⋮ Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation ⋮ Numerical bifurcation analysis of renewal equations via pseudospectral approximation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the characteristic equation \(\lambda =\alpha_{1}+(\alpha_{2}+\alpha_{3}\lambda)e^{-\lambda}\) and its use in the context of a cell population model
- Numerical bifurcation analysis of physiologically structured populations: consumer-resource, cannibalistic and trophic models
- Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example
- An abstract framework in the numerical solution of boundary value problems for neutral functional differential equations
- One-step collocation for delay differential equations
- 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
- Numerical equilibrium analysis for structured consumer resource models
- Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations
- Approximation of Eigenvalues of Evolution Operators for Linear Retarded Functional Differential Equations
- Simulating, Analyzing, and Animating Dynamical Systems
- On the Theory of Markov Renewal
- On the formulation of epidemic models (an appraisal of Kermack and McKendrick)
- A numerical approach for investigating the stability of equilibria for structured population models
- Computing the Eigenvalues of Realistic Daphnia Models by Pseudospectral Methods
- The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part I: Convergence Results
- The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part II: Differential Equations with Deviating Arguments
- Pseudospectral Discretization of Nonlinear Delay Equations: New Prospects for Numerical Bifurcation Analysis
- New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems
- Introduction to Numerical Continuation Methods
- Spectral Methods in MATLAB
- Numerical bifurcation analysis of a class of nonlinear renewal equations
- Numerical Methods for Delay Differential Equations
- Numerical Methods for Bifurcations of Dynamical Equilibria
- Spectral Methods
- Age-Structured Population Dynamics in Demography and Epidemiology
- The deterministic evolution of general branching populations
- Approximation of Eigenvalues of Evolution Operators for Linear Renewal Equations
This page was built for publication: Collocation Techniques for Structured Populations Modeled by Delay Equations