COUPLED LOGISTIC MAP FOR SYMBIOTIC RELATIONS

The symbiotic relations are formulated with a parametrically coupled l ogistic map. Three types of interspecific relations (mutualism, compet ition and predation) are studied with maps with simple sigmoidal relat ing functions. We investigate the stability condition and the basin of survival fixed point for mutualism. It is shown that the degree of mu tualism plays a key role for the stability of the relation and the sur vival of the species. Also, for competition and predation, we obtain t he phase diagrams in which the parameter planes are divided into the r egions to which the stable survival point and limit cycles and the cha os correspond.