A new nonlinear model of age-dependent population growth (Q1075970)
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scientific article; zbMATH DE number 3952558
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new nonlinear model of age-dependent population growth |
scientific article; zbMATH DE number 3952558 |
Statements
A new nonlinear model of age-dependent population growth (English)
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1985
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A new nonlinear age-structured population model is derived, describing growth of I interacting biological species. Departing from partial differential equations of von Förster type (for deaths) with the usual integral boundary conditions (for births), the authors then impose conditions allowing semi-explicit computation of solutions. In a detailed way, the resulting age-distributions are investigated. Comparison with the classical Lotka model and various extensions and applications (genetic equilibria, cellular aggregates) are discussed.
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explicit solution
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new nonlinear age-structured population model
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interacting biological species
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partial differential equations of von Förster type
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integral boundary conditions
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age-distributions
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Comparison
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Lotka model
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genetic equilibria
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cellular aggregates
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0.95892334
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0.92447394
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