中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
动力系统研讨班
Speaker: 李一飞（哈尔滨工业大学）
Inviter: 朱思尧
Language: 中文
Title: Exploring the evolution of maturation time via strong competition model with stage structure
Time & Venue: 2026年8月29日（星期六）14:00-14:40 南楼N913
Abstract: In evolutionary and ecological sciences, describing the adaptive dynamics of species affected by the phenotype of maturation time is challenging. In this talk, I will first introduce some classical mathematical models for studying adaptive dynamics, and then introduce a stage-structured two-species competition model in a discrete environment. When competition leads to long-term bistable dynamics, we obtain the existence of pulsating waves of the population by appealing to monotone dynamical system theories. Furthermore, we numerically explore the relationship between the outcome of competition, characterised by the spreading direction of bistable pulsating waves, and the maturation time of species. When the maturation time has an inverse relationship with the competitiveness of the mature population, there may exist an optimal maturation time suggesting an evolutionarily stable strategy (ESS).
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