Effects of a Fluctuating Carrying Capacity on the Generalized Malthus-Verhulst Model

Héctor Calisto, Kristopher J. Chandía and Mauro Bologna

Advances in Mathematical Physics, 2014, vol. 2014, 1-6

Abstract:

We consider a generalized Malthus-Verhulst model with a fluctuating carrying capacity and we study its effects on population growth. The carrying capacity fluctuations are described by a Poissonian process with an exponential correlation function. We will find an analytical expression for the average of a number of individuals and show that even in presence of a fluctuating carrying capacity the average tends asymptotically to a constant quantity.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:597012

DOI: 10.1155/2014/597012

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