Global analysis of a juvenile-adult model for cannibalistic species
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 adults 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.