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题目：A free boundary model for super invaders

报告人：杜一宏教授，澳大利亚新英格兰大学

摘要：Using a reaction-diffusion model with free boundaries in one space dimension for a single population species with  density $u(t,x)$ and population range $[g(t), h(t)]$, we demonstrate that the Allee effects can be eliminated if the species maintains its population density at a suitable level at the range boundary by advancing or retreating the fronts. It is proved that with such a strategy at the range edge the species can invade the environment successfully with all admissible initial populations, exhibiting the dynamics of super invaders. Numerical simulations are used to help understand what happens if the population density level at the range boundary is maintained at other levels. If the invading cane toads in Australia used this strategy at the range boundary to become a super invader, then our results may explain why toads near the invading front evolve to have longer legs and run faster.

报告时间：2025年6月4日（周三）上午 10:15-11:15

报告地点：教二楼608

联系人：刘兆理