Effective carrying capacity and analytical solution of a particular case of the Richards-like two-species population dynamics model
AbstractWe consider a generalized two-species population dynamic model and analytically solve it for the amensalism and commensalism ecological interactions. These two-species models can be simplified to a one-species model with a time dependent extrinsic growth factor. With a one-species model with an effective carrying capacity one is able to retrieve the steady state solutions of the previous one-species model. The equivalence obtained between the effective carrying capacity and the extrinsic growth factor is complete only for a particular case, the Gompertz model. Here we unveil important aspects of sigmoid growth curves, which are relevant to growth processes and population dynamics.
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Bibliographic InfoArticle provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.
Volume (Year): 391 (2012)
Issue (Month): 4 ()
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Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/
Population dynamics (ecology); Generalized logarithmic and exponential functions; Growth models; Richards model; Two-species model;
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