The self and cross diffusion action on the dynamic of the nonlinear continu- ous duopoly model introduced in [22], is investigated. Under Robin boundary conditions the longtime behavior and the linear and nonlinear stability of the steady states, are studied. The self and cross diffusion parameters guaran- teeing the spreading of the firms outputs, are characterized.

On the dynamics of a nonlinear reaction-diffusion duopoly model

Torcicollo I
2018

Abstract

The self and cross diffusion action on the dynamic of the nonlinear continu- ous duopoly model introduced in [22], is investigated. Under Robin boundary conditions the longtime behavior and the linear and nonlinear stability of the steady states, are studied. The self and cross diffusion parameters guaran- teeing the spreading of the firms outputs, are characterized.
2018
Istituto Applicazioni del Calcolo ''Mauro Picone''
Binary reaction-diffusion system of PDEs
Nonlinear duopoly game
Nonlinear stability
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/338216
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