同类相食是存在于许多物种中的一种生命特征。为了描述同类相食物种的种群动态, 我们建立了一个阶段结构的种群模型, 在该模型中, 成体捕食具有霍林I型功能反应的幼体。理论分析结果表明, 由于幼体和成体的合作关系, 该模型除了灭绝的边界平衡外, 不存在其他边界平衡(即成体繁殖幼体, 幼体成长为成体)。在一定条件下, 该模型具有多个内部平衡, 并表现出几种双稳态动力学类型, 其中不同初始密度的幼体和成体产生不同的长期结果。

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.