Dispersion population models discrete in time and continuous in space (Q809930)
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scientific article; zbMATH DE number 4211861
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dispersion population models discrete in time and continuous in space |
scientific article; zbMATH DE number 4211861 |
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Dispersion population models discrete in time and continuous in space (English)
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1990
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The authors give a summary of the results and conclusions of their papers SIAM J. Appl. Math. 48, No.6, 1396-1423 (1988; Zbl 0668.92014), and J. Math. Biol. 26, No.4, 361-374 (1988; Zbl 0717.92026), where a discrete- time model of populations that grow and disperse in separate phases is analyzed. The sedentary growth stage is described by a nonlinear operator and the dispersal stage is modelled by a linear integral operator. The main emphasis is on survival and extinction, the existence and stability of steady states and the comparison of various dispersion strategies in different environments.
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staying-in-place
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going-everywhere-uniformly
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integrodifference equation
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spectral radius
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positive operators in Banach lattices
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discrete-time model of populations
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sedentary growth stage
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nonlinear operator
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linear integral operator
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survival
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extinction
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existence
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stability
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steady states
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dispersion strategies
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