Large time behavior in a chemotaxis-Stokes system modeling coral fertilization with arbitrarily slow porous medium diffusion

Author(s):  
Yifu Wang ◽  
Ji Liu
2019 ◽  
Vol 21 (2) ◽  
pp. 199-229 ◽  
Author(s):  
Ahmed Ait Hammou Oulhaj ◽  
Clément Cancès ◽  
Claire Chainais-Hillairet ◽  
Philippe Laurençot

2007 ◽  
Vol 2007 ◽  
pp. 1-15 ◽  
Author(s):  
Lamine Melkemi ◽  
Ahmed Zerrouk Mokrane ◽  
Amar Youkana

We consider a reaction-diffusion system modeling the spread of an epidemic disease within a population divided into the susceptible and infective classes. We first consider the question of the uniform boundedness of the solutions for which we give a positive answer. Then we deal with the asymptotic behavior of the solutions where in particular we are interested in reasonable conditions leading to the extinction of the infection disease as the time goes to infinity.


Meccanica ◽  
2017 ◽  
Vol 52 (13) ◽  
pp. 3255-3260 ◽  
Author(s):  
Daniele Andreucci ◽  
Anatoli F. Tedeev

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