Fast Reaction Limit of Competition-Diffusion Systems

2009 ◽  
pp. 105-168 ◽  
Author(s):  
Danielle Hilhorst ◽  
Masayasu Mimura ◽  
Hirokazu Ninomiya
Keyword(s):  
Fast Reaction ◽  
Diffusion Systems ◽  
Fast Reaction Limit ◽  
Competition Diffusion

Fast Reaction Limit of the Discrete Diffusive Coagulation–Fragmentation Equation

2003 ◽  
Vol 28 (5-6) ◽  
pp. 1113-1133 ◽  
Author(s):  
Miguel Escobedo ◽  
Philippe Laurençot ◽  
Stéphane Mischler
Keyword(s):  
Fast Reaction ◽  
Fast Reaction Limit ◽  
Fragmentation Equation

Asymptotic spreading of competition diffusion systems: The role of interspecific competitions

2012 ◽  
Vol 23 (6) ◽  
pp. 669-689 ◽  
Author(s):  
GUO LIN ◽  
WAN-TONG LI
Keyword(s):  
Comparison Principle ◽  
Population Densities ◽  
Competitive Systems ◽  
Diffusion Systems ◽  
Negative Role ◽  
Asymptotic Spreading ◽  
Competition Diffusion

This paper is concerned with the asymptotic spreading of competition diffusion systems, with the purpose of formulating the propagation modes of a co-invasion–coexistence process of two competitors. Using the comparison principle for competitive systems, some results on asymptotic spreading are obtained. Our conclusions imply that the interspecific competitions slow the invasion of one species and decrease the population densities in the coexistence domain. Therefore, the interspecific competitions play a negative role in the evolution of competitive communities.

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