论种群动态模式形成的一种新机制
On a New Mechanism of Pattern Formation in Population Dynamics
摘要：
研究了一类含积分项的反应扩散方程，其中积分项描述了非局部资源消耗。我们表明，均匀平衡可以失去其稳定性，从而导致外观的固定空间结构。在种群动力学中，模式形成是一种新的机制，它可以解释种内竞争和随机突变导致的物种出现.本文数值研究了连接不稳定的齐次平衡点和空间定态周期解的行波.
英文摘要：
We study a reaction-diffusion equation with an integral term describing nonlocal consumption of resources. We show that a homogeneous equilibrium can lose its stability resulting in appearance of stationary spatial structures. It is a new mechanism of pattern formation in population dynamics that can explain emergence of biological species due to intra-specific competition and random mutations.Travelling waves connecting an unstable homogeneous equilibrium and a periodic in space stationary solution are studied numerically.
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