scholarly journals Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type

2018 ◽  
Vol 23 (9) ◽  
pp. 3787-3797 ◽  
Author(s):  
B. Ambrosio ◽  
◽  
M. A. Aziz-Alaoui ◽  
V. L. E. Phan ◽  
◽  
...  
Keyword(s):  
Complex Networks ◽  
Global Attractor ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems

scholarly journals Asymptotic Behavior of a Competition-Diffusion System with Variable Coefficients and Time Delays

2008 ◽  
Vol 2008 ◽  
pp. 1-17
Author(s):  
Miguel Uh Zapata ◽  
Eric Avila Vales ◽  
Angel G. Estrella
Keyword(s):  
Asymptotic Behavior ◽  
Time Delay ◽  
Global Attractor ◽  
Iteration Method ◽  
Time Delays ◽  
Reaction Diffusion ◽  
Variable Coefficients ◽  
Diffusion System ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems

A class of time-delay reaction-diffusion systems with variable coefficients which arise from the model of two competing ecological species is discussed. An asymptotic global attractor is established in terms of the variable coefficients, independent of the time delays and the effect of diffusion by the upper-lower solutions and iteration method.

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