Qualitative property preservation of high-order operator splitting for the SIR model

DOI10.1016/j.apnum.2021.10.003zbMath1484.92006OpenAlexW3207480198MaRDI QIDQ2058408

Siqi Wei, Raymond J. Spiteri

Publication date: 9 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.10.003

zbMATH Keywords

operator splittinghigh orderSIR model

Mathematics Subject Classification ID

Epidemiology (92D30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Computational methods for problems pertaining to biology (92-08)

Related Items (2)

On the Stability of Unconditionally Positive and Linear Invariants Preserving Time Integration Schemes ⋮ On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar–Runge–Kutta schemes

Cites Work

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• Positive symplectic integrators for predator-prey dynamics
• On the necessity of negative coefficients for operator splitting schemes of order higher than two
• Unconditionally positive and conservative third order modified Patankar-Runge-Kutta discretizations of production-destruction systems
• Operator splitting for space-dependent epidemic model
• Solving Linear Partial Differential Equations by Exponential Splitting
• Total variation diminishing Runge-Kutta schemes
• A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
• Nth-Order Operator Splitting Schemes and Nonreversible Systems
• Geometric Numerical Integration

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