Analysis Of Three Group Models With Prey Of Prey

The prey refuges characterize a phenomenon that there exist different forms of prey species conservation in order to protect the prey species, and play an im-portant role in the maintenance of ecological balance and protecting biodiversity. Three-species ecological models which describe the complex relationships between the species have important theoretical value and practical significance to keep the ecosystem balance and maintain the system stability.In this paper, we analyze three kinds of important three-species ecological mod-els with prey refuges, that is, the apparent competition model with prey refuges, intraguild predation model with prey refuges and food chain model with prey refuges. On the basic of theoretical analysis of the apparent competition model with prey refuges, we first discuss the effect of prey refuges in protecting biodiversity and con-trolling the alien invasive species. Research results reveal the following two cases: when the ability of resist predation of two preys is almost the same, prey refuges are negative in protecting biodiversity; when the ability of resist predation of two preys has a great difference, the weaker of the prey with prey refuges is helpful to protect biodiversity and maintain the ecological balance. If a prey is an alien species in the apparent competition model, the local species with prey refuges can avoid the local species extinction and control the alien species. Then we explore the role of prey refuges for three species coexistence of intraguild predation. In view of the theoretical analysis and numerical simulation, we show that when shared resource and intraguild prey with prey refuges have a positive effect in keeping three species coexistence at a certain range. Finally, we study the food chain model with prey refuges. We show prey refuges is negative for maintaining the stability of the food chain, but when the top predator is invasive species, local prey with prey refuges can improve the density of local species and has a positive effect in protecting of the local species.