Parameter estimation in ordinary differential equations modeling via particle swarm optimization

DOI10.1155/2018/9160793zbMath1437.90164OpenAlexW2889326492MaRDI QIDQ1741713

Olcay Akman, Elsa Schaefer, Devin Akman

Publication date: 7 May 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/9160793

Mathematics Subject Classification ID

Epidemiology (92D30) Approximation methods and heuristics in mathematical programming (90C59) Inverse problems involving ordinary differential equations (34A55)

Related Items (2)

Parameter estimation and fractional derivatives of dengue transmission model ⋮ A multi-strain epidemic model for COVID-19 with infected and asymptomatic cases: application to French data

Uses Software

• DIRECT
• SymDIRECT

Cites Work

• A modification of the \texttt{DIRECT} method for Lipschitz global optimization for a symmetric function
• Genetic algorithms with shrinking population size
• Further scramblings of Marsaglia's \(\mathsf{xorshift}\) generators
• Additive scaling and the \texttt{DIRECT} algorithm
• Parameter identification problem: Real-coded GA approach
• Lipschitzian optimization without the Lipschitz constant
• Solving the parameter identification problem of mathematical models using genetic algorithms
• A method for solving the parameter identification problem for ordinary differential equations of the second order
• An evolutionary computing approach for parameter estimation investigation of a model for cholera
• A locally-biased form of the DIRECT algorithm.

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