Effective carrying capacity and analytical solution of a particular case of the Richards-like two-species population dynamics model
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
21/10/2013
21/10/2013
2012
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| Resumo |
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. (C) 2011 Elsevier B.V. All rights reserved. CAPES CAPES CNPq [151057/2009-5] CNPq Brazilian agency CNPq [305738/2010-0, 476722/2010-1] Brazilian agency CNPq |
| Identificador |
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, AMSTERDAM, v. 391, n. 4, supl. 1, Part 3, pp. 1281-1286, FEB 15, 2012 0378-4371 http://www.producao.usp.br/handle/BDPI/35301 10.1016/j.physa.2011.11.018 |
| Idioma(s) |
eng |
| Publicador |
ELSEVIER SCIENCE BV AMSTERDAM |
| Relação |
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS |
| Direitos |
closedAccess Copyright ELSEVIER SCIENCE BV |
| Palavras-Chave | #POPULATION DYNAMICS (ECOLOGY) #GENERALIZED LOGARITHMIC AND EXPONENTIAL FUNCTIONS #GROWTH MODELS #RICHARDS MODEL #TWO-SPECIES MODEL #GROWTH-MODELS #EXPONENTIAL FUNCTIONS #PHYSICS, MULTIDISCIPLINARY |
| Tipo |
article original article publishedVersion |
