Splitting methods for the numerical approximation of some models of age-structured population dynamics and epidemiology

DOI10.1016/S0096-3003(96)00222-6zbMath0912.92025OpenAlexW1977750259MaRDI QIDQ1126621

Mimmo Iannelli, Mi-Young Kim, Eun-Jae Park

Publication date: 8 October 1998

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(96)00222-6

zbMATH Keywords

maximum normsplitting algorithmsbackward finite differencing

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

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Cites Work

• Unnamed Item
• Threshold and stability results for an age-structured epidemic model
• Rapidly converging numerical algorithms for models of population dynamics
• Approximating some nonlinear equations by a fractional step scheme
• Non-linear age-dependent population dynamics
• Runge-Kutta methods for age-structured population models
• An upwind scheme for a nonlinear model in age-structured population dynamics
• Endemic Thresholds and Stability in a Class of Age-Structured Epidemics
• Global Behavior of an Age-Structured Epidemic Model
• Analytical and Numerical Results for the Age-Structured S-I-S Epidemic Model with Mixed Inter-Intracohort Transmission

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