Cannibalism is a life trait occurring in a wide variety of species.To describe the population dynamics of cannibalistic species,we develop a stage-structured population model in which axJults prey on juveniles with a ...Cannibalism is a life trait occurring in a wide variety of species.To describe the population dynamics of cannibalistic species,we develop a stage-structured population model in which axJults prey on juveniles with a Holling type I functional response.We make a rigorous analysis of the global dynamics in the model.The results of theoretical analysis show that the model has no boundary equilibrium other than the extinction one since juveniles and adults are cooperative(adults reproduce juveniles and juveniles grow into adults).Under certain conditions,the model has multiple interior equilibria and exhibits several types of bistable dynamics,in which different initial densities of juveniles and adults produce different long-term outcomes.展开更多
基金supported by the NSF of China(11971059)Q.Huang was supported by the NSF of China(11871060)+1 种基金the Venture and Innovation Support Program for Chongqing Overseas Returnees(7820100158),the Fundamental Research Funds for the Central Universities(XDJK2018B031)the faculty startup fund from Southwest University(20710948).
文摘Cannibalism is a life trait occurring in a wide variety of species.To describe the population dynamics of cannibalistic species,we develop a stage-structured population model in which axJults prey on juveniles with a Holling type I functional response.We make a rigorous analysis of the global dynamics in the model.The results of theoretical analysis show that the model has no boundary equilibrium other than the extinction one since juveniles and adults are cooperative(adults reproduce juveniles and juveniles grow into adults).Under certain conditions,the model has multiple interior equilibria and exhibits several types of bistable dynamics,in which different initial densities of juveniles and adults produce different long-term outcomes.