The Optimal Control Applied To Diffusion-reaction Models
Author(s)
M.J. Pujol, J.A. Sanchez, P. Grimalt
Abstract
The optimal control applied to diffusion-
reaction models
M.J. Pujol, J.A. Sanchez, P. Grimalt
Department of Mathematical Analysis and Applied Mathematics,
Alicante University, Spain
Abstract
In Ecology the Diffusion-Reaction models are widely used. The term Reaction is
applied in process of growth or interaction among species in absence of
dispersion, and the Diffusion describe the movement of individuals. In this
work, it is modelled how an inhibitor that is deposited in the surface of rat
cortex spreads to avoid the massive destruction of neurones, when, for example
a brain-vascular accident occurs. The solution of the resultant non-linear
diffusion-reaction equation is obtained by means of the Adomian's method. The
parameters of the equation of the model are identified by using a new method
that uses co-dense curves. Finally, the problem of optimal control related to this
model of diffusion is considered.
1 Introduction
One of the mechanisms of the cellular death in
Keywords
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