NUMERICAL CONTINUATION OF EQUILIBRIA OF PHYSIOLOGICALLY STRUCTURED POPULATION MODELS I: THEORY

DOI10.1142/S0218202501001264zbMath1013.92036MaRDI QIDQ4798902

Bert Lisser, Odo Diekmann, B. P. Sommeijer, Margreet Nool, André M. de Roos, Markus Kirkilionis

Publication date: 16 March 2003

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

zbMATH Keywords

numerical continuation of equilibria

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Population dynamics (general) (92D25) Ecology (92D40) Numerical problems in dynamical systems (65P99)

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Uses Software

• PSPManalysis

Cites Work

• Numerical solution of structured population models. I: Age structure
• Numerical solutions to equations modelling nonlinearly interacting age- dependent populations
• Rapidly converging numerical algorithms for models of population dynamics
• Numerical solution of structured population models. II: Mass structure
• On the formulation and analysis of general deterministic structured population models. I: Linear theory
• Non-linear age-dependent population dynamics
• A Nonlinear Model of Population Dynamics Containing an Arbitrary Number of Continuous Structure Variables
• Numerical methods for structured population models: The Escalator Boxcar Train