Positive solutions and dynamics of a finite difference reaction-diffusion system

1993 ◽  
Vol 9 (3) ◽  
pp. 285-311 ◽  
Author(s):  
C. V. Pao
Keyword(s):  
Finite Difference ◽  
Positive Solutions ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System

scholarly journals Global Existence and Blowup for a Reaction-Diffusion System with Nonlocal Boundary Condition

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Jun Zhou
Keyword(s):  
Boundary Condition ◽  
Positive Solutions ◽  
Blow Up ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Rate Estimate ◽  
Blow Up Rate

This paper considers the singularity properties of positive solutions for a reaction-diffusion system with nonlocal boundary condition. The conditions on the existence and nonexistence of global positive solutions are given. Moreover, we establish the blow-up rate estimate for the blow-up solution.

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