Team:IPN-UNAM-Mexico/Modeling/ThirdAp

[[Image:Month-icon.png | 50px]]Third approach: Spatial model
Afterward we described as ordinary differential equations the time change of the concentrations of PAI and AI based on the kinetic law equations, being x PAI and y AI



Here all the constants are sums or products of kinetic constants.

With this system of differential equations describing the kinetic basis of the reaction and diffusion we proceeded to make a qualitative analysis of its behavior by creating its vectorial field as the following 2x2 system of equations using Grapher.





From this analysis we can see simply by looking at its vectorial field that it behaves as the system:



We wanted to check if this equations as chemical kinetics into a system of the reaction-diffusion dynamics can produce spatiotemporal patterns; to do this we made a simulation using ComsolMultipysics as previously described