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Time delays produced by essential nonlinearity in population growth models

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Abstract

It is pointed out that the asymptotic general solution to the ϕ-model equation for a periodic carrying capacityK(t) andt≳r −1 is identical in form to the generalized logistic equation solution with a built-in developmental time delay τ(≲r −1) and associated parameter ranges of primary biological interest. In the case of the ϕ-model equation, the time delay is a purely dynamical consequence of the nonlinear form featured by the population growth rate.

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Authors and Affiliations

  1. Department of Physics, Drexel University, 19104, Philadelphia, PA, USA

    Gerald Rosen

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  1. Gerald Rosen
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Rosen, G. Time delays produced by essential nonlinearity in population growth models. Bltn Mathcal Biology 49, 253–255 (1987). https://doi.org/10.1007/BF02459701

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  • DOI: https://doi.org/10.1007/BF02459701

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