Global analysis of a juvenile-adult model for cannibalistic species  

作　　者：Xiong Li Qihua Huang 

机构地区：[1]School of Mathematics Sciences Beijing Normal University Beijing 100875,P.R.China [2]School of Mathematical and Statistical Sciences Southwest University,Chongqing 400715,P.R.China [3]School of Mathematical and Statistical Sciences Hubei University of Science and Technology Xianning 437100,P.R.China

出　　处：《International Journal of Biomathematics》2021年第6期217-238,共22页生物数学学报（英文版）

基　　金：supported by the NSF of China(11971059);Q.Huang was supported by the NSF of China(11871060);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).

摘　　要：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.

关 键 词：Global dynamics juvenile-adult model CANNIBALISM bistability. 

分 类 号：O17[理学—数学]