Influence of the neighborhood on cyclic models of biodiversity

This work deals with the influence of neighborhood in simple rock–paper–scissors models biodiversity. We consider case three distinct species which evolve under standard rules mobility, reproduction and competition. The rule competition follows guidance game, prey being annihilated, leaving an empty site accordance May-Leonard proposal for predator use von Neumann neighborhood, but we mobility presence nearest, next nearest to neighbors environments, one equal probability others following power law exponential profiles. results are different, they all show that increasing increases characteristic length system important way. have studied other models, particular where modifies manner a specific competes, breaking cyclic evolution unveiling interesting result strongest individuals may constitute less abundant population.