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The effect of time lags on the stability of the equilibrium state of a population growth equation

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Summary

A scalar integrodifferential equation is considered which describes a single self-regulating species. Three results are presented towards showing that the ‘carrying capacity’ equilibrium state becomes unstable as the self-regulating mechanism acts after a longer time lag.

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Stech, H.W. The effect of time lags on the stability of the equilibrium state of a population growth equation. J. Math. Biology 5, 115–120 (1978). https://doi.org/10.1007/BF00275894

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  • DOI: https://doi.org/10.1007/BF00275894

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