A linear model for the dynamics of fish larvae
Date
2004-11-26
Authors
Ghouali, Noureddine
Touaoula, Tarik Mohamed
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We consider a linear model for the growth and the dispersion of fish larvae of certain species. Dispersion is modeled as entailed by the combination of transport and vertical diffusion. We generalize the work of Boushaba, Arino and Boussouar [5,6] in the sense that horizontal velocities are uniform throughout the water column; but we deal with vertical component velocity and vertical diffusion depending on the space variables and on time, which was not the case in [5,6]. This new vision leads us to non-autonomous problems, the aim of this work is to show the existence, uniqueness, and positivity of solutions.
Description
Keywords
Parabolic equations, Characteristic curve, Dynamics of the fish larvae
Citation
Ghouali, N., Touaoula, T. M. (2004). A linear model for the dynamics of fish larvae. <i>Electronic Journal of Differential Equations, 2004</i>(140), pp. 1-10.
Rights
Attribution 4.0 International