演講者：鄭昌源教授 (國立高雄師範大學數學系)

日   期：2026 年 11 月 04 日（星期三）13:30

地   點：國立高雄大學理學院 408 室

講   題：Competitions of Stage-structured Species in a Seasonal Patchy Model

摘   要：
Species interact through intra- and interspecific competition and intraguild predation (IGP), with their behaviors influenced by spatial heterogeneity, seasonality, and life stages. In this talk, I will review some models describing stage-structured species. Next, I will introduce a two-patch, two-stage model incorporating these factors. For single-species models, I and my collaborator established threshold dynamics showing that populations either go extinct or exhibit oscillations across both patches, attracting all nonnegative solutions. For two-species models with and without IGP, we derived invasion indices that determine extinction or persistence depending on whether they are below or above one. Numerical simulations validate these thresholds and reveal that IGP can reverse competitive outcomes and promote ecological diversity, seasonality can enhance species survival, and prey can adjust their maturation time in response to IGP