The Sign of the Traveling Wave Speed in the Two-SpeciesLotka–
Volterra Competition Model and Its Applications
時間
星期四 下午2:05~4:05
地點
數學系1樓21113演講室
摘要
In ecology, determining the characteristics of dominant species
in species interactions is an important research problem. In mathematics,
traveling wave solutions are often used to represent such
interactions. Among these, the sign of the traveling wave speed
plays an important role. In this talk, I will introduce the two species
Lotka-Volterra competition-diffusion system and some existence results.
Next, I will present our new approach, which utilizes minimax
techniques to determine the sign of the traveling wave speed. Finally,
we use this new formula to study the influence of diffusion on
the wave speed, and we provide some new partial results related to
the Girardin Conjecture.