Oscillatory population growth in periodic environments (Q1080801)
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scientific article; zbMATH DE number 3968418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillatory population growth in periodic environments |
scientific article; zbMATH DE number 3968418 |
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Oscillatory population growth in periodic environments (English)
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1986
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A general first-order nonlinear differential equation is derived for the dynamics of a population in such a way that the inherent growth rate r and the equilibrium ''carrying capacity'' K appear explicitly as parameters. By means of standard regular perturbation techniques, properties of the periodic asymptotic state of the population are studied under the assumption that r and K suffer periodic perturbations of small amplitude. Specific examples are studied analytically and numerically.
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oscillatory population growth
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periodic environments
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first-order nonlinear differential equation
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equilibrium
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carrying capacity
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periodic asymptotic state
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periodic perturbations of small amplitude
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