论文标题
一些“违反直觉”导致两种物种竞争
Some "counterintuitive" results in two species competition
论文作者
论文摘要
我们研究了经典的两个物种ODE和PDE LOTKA-VOLTERRA竞争模型，其中一个竞争对手可能会在有限的时间内灭绝。我们表明，在这种情况下，古典理论和直觉不存在，并且可能进行各种反直观动态。特别是，较弱的竞争对手可以避免竞争性排斥，并且较慢的扩散器可能不会获胜。进行数值模拟以验证我们的分析结果。
We investigate the classical two species ODE and PDE Lotka-Volterra competition models, where one of the competitors could potentially go extinct in finite time. We show that in this setting, classical theories and intuitions do not hold, and various counter intuitive dynamics are possible. In particular, the weaker competitor could avoid competitive exclusion, and the slower diffuser may not win. Numerical simulations are performed to verify our analytical findings.
