论文标题
具有非单调增长和强大效果的全差分方程中的周期性行进波
Periodic Traveling Waves in an Integro-Difference Equation With Non-Monotonic Growth and Strong Allee Effect
论文作者
论文摘要
我们为存在周期性波动溶液的存在提供了足够的条件，并具有具有分段恒定生长函数的整数差异方程，该方程表现出稳定的周期2循环和强大的质量效应。在适当条件下，平均行动波速度显示为具有紧凑型初始数据的解决方案的渐近扩散速度。然后，我们为拉普拉斯内核和均匀内核进行案例研究。
We derive sufficient conditions for the existence of a periodic traveling wave solution to an integro-difference equation with a piecewise constant growth function exhibiting a stable period2 cycle and strong Allee effect. The mean traveling wave speed is shown to be the asymptotic spreading speed of solutions with compactly supported initial data under appropriate conditions. We then conduct case studies for the Laplace kernel and uniform kernel.
