 We also investigate this model by numerical simulations that highlight the richness of this framework. We finally propose and study extensions of the model, such as spatially heterogeneous systems .
<clarity>  We also investigate this model by numerical simulations that highlight the richness of this framework. We finally propose and study extensions of the model, such as spatially heterogeneous systems .
 We also provide a variety of numerical simulations to illustrate our results and to reveal further properties and open questions .