Density í dependent population dynamics in dispersion and migration process

Abstract

In this paper, briefly mention of classical models for Population Dynamics, besides exhibiting the historical move from purely homogeneous Ordinary Differential Equations to Partial Differential Equations that include both time and space variations. A recent model for migration of fish populations, by Diniz (1994) is shown. A model including density-dependent behavior in Diniz model is suggested, and a No linear Partial Differential Equations is obtained. Existence and Uniqueness results are mentioned, and a numerical scheme for simulations is presented, with the visualization of some computational results.