Numerical simulation for chemorepulsive and productive models

Abstract: Chemotaxis is understood as the biological process of the movement of living organisms in response to a chemical stimulus which can be given towards a higher (attractive) or lower (repulsive) concentration of a chemical substance. At the same time, the presence of living organisms can produce or consume chemical substance 

We have studied the existence of solution of such systems, and design numerical schemes that reproduce their main properties. 

Researchers: Francisco Guillén González                              María Ángeles Rodríguez Bellido                        Diego Armando Rueda Gómez

Partners: Universidad de SevillaUniversidad Industrial de Santander- Colombia 

Related project:      PDEs for Biological models with Chemotaxis and Nonlocal effects (PGC2018-098308-B-I00)
                                   Diffusion, Reaction and Phase Field Problems Applied to Models of Living Organisms (
MTM2015-69875-P) 

iMAT research line: RL2. Modeling of Biological Systems & Health

More information:
https://doi.org/10.1090/mcom/3418 
https://doi.org/10.1016/j.camwa.2020.04.009
https://doi.org/10.1016/j.camwa.2020.04.010