Numerical methods for a model of population dynamics (Q1111359)
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scientific article; zbMATH DE number 4076569
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical methods for a model of population dynamics |
scientific article; zbMATH DE number 4076569 |
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Numerical methods for a model of population dynamics (English)
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1987
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Convergence theorems are proved for an algorithm, based on finite differences, for the numerical approximation of solutions of a simplified version of the McKendrick-von Foerster model for the density of an age- structured population. This model involves an initial value problem for a first order, nonlinear hyperbolic integro-partial differential equation subject to a linear integral boundary (or renewal) condition. The method is developed for the special case when only the death rate is dependent on total population size.
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population dynamics
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Convergence
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algorithm
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finite differences
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McKendrick-von Foerster model
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age-structured population
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initial value problem
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first order, nonlinear hyperbolic integro-partial differential equation
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