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Population Dynamics Modeling of Arapaima gigas Acta Amazonica
Coutinho,Eliane dos Santos de Souza; Bevilacqua,Luiz; Queiroz,Helder Lima de.
Pirarucu (Arapaima gigas) has been of the most important natural fishing resources of the Amazon region. Due to its economic importance, and the necessity to preserve the species hand, field research concerning the habits and behavior of the pirarucu has been increasing for the last 20 years. The aim of this paper is to present a mathematical model for the pirarucu population dynamics considering the species peculiarities, particularly the male parental care over the offspring. The solution of the dynamical systems indicates three possible equilibrium points for the population. The first corresponds to extinction; the third corresponds to a stable population close to the environmental carrying capacity. The second corresponds to an unstable equilibrium...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Pirarucu (Arapaima gigas); Population dynamics; Mamirauá; Mathematical Modeling.
Ano: 2010 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0044-59672010000200012
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A new analytical formulation of retention effects on particle diffusion processes Anais da ABC (AABC)
Bevilacqua,Luiz; Galeão,Augusto C.N.R.; Costa,Flavio P..
The ultimate purpose of this paper is to present a new analytical formulation to simulate diffusion with retention in a reactive medium under stable thermodynamic conditions. The analysis of diffusion with retention in a continuum medium is developed after the solution of an equivalent problem using a discrete approach. The new law may be interpreted as the reduction of all diffusion processes with retention to a unifying phenomenon that can adequately simulate the retention effect namely a circulatory motion. It is remarkable that the governing equation requires a fourth order differential term as suggested by the discrete approach. The relative fraction of diffusion particles β is introduced as a control parameter in the diffusion-retention law as...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Diffusion; Retention; Constitutive law; Discrete approach; Population dynamics; Fourth order differential equations.
Ano: 2011 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652011000400031
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