Diffusion of two brands in competition: cross-brand effect
  We study the equilibrium points of a system of equations corresponding to a Bass based model that describes the diffusion of two brands in competition. To increase the understanding of the effects of the cross-brand parameters, we perform a sensitivity analysis. Finally, we show a comparison with an agent-based model inspired in the Potts model. Conclusions include that both models give the same diffusion curves only when the cross coeficients are not null. 
C. E. Laciana, G. Gual, D. Kalmus, N. Oteiza-Aguirre and S. L. Rovere
cs.SI physics.soc-ph