Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2011-11-11
Biology
Quantitative Biology
Populations and Evolution
To appear in Physica A (6 pages, 5 figures)
Scientific paper
We 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.
Martinez Alexandre Souto
Ribeiro Fabiano
Troca Cabella Brenno Caetano
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