Evolutionary Game Of Multi-species Competition

Biodiversity,as a traditional parameter of ecosystem,has been studied by people for thousands of years.In order to better understand biodiversity,the most fundamental phenomenon in nature,many extensive and in-depth studies have been carried out on the evolutionary game of cyclic competition.Among them,the three-strategy "Rock-Paper-Scissors"(RPS)game is a typical model in this field.Through the study of this game model,the changes of species richness gradually emerged.The changes of game rules,the scale of ecosystem,the complexity of ecosystem species and the interaction of species are all factors affecting species complexity.However,it is easy to overlook that in actual ecosystems,species richness is also easily influenced by the structure of interactions between species.In order to explore the effect of the structure of interspecies interaction on biodiversity.In this paper,we introduce the extended game,the "RockPaper-Scissors Lizard-Spock"(RPSLS)game.In order to study the coexistence of species in the modified five-species strategy game,we modified the multi-species competitive evolutionary game by removing the different specific predator-prey interactions for many times and destroying the symmetric structure of the competitive game.We find that the interaction structure impacts the evolutionary dynamics and different interaction structures allow for different states of multi-species coexistence.We also find that the competition between different three-species-cyclic interactions is crucial for the realization of different asymptotic behaviors at low mobility.Finally,we compared the numerical simulation results with the mean field analytical results.Our findings may be useful to understand the subtle effects of competitive structure on species coexistence and evolutionary game outcomes.