一类三种群捕食者-食饵模型中交错扩散导致的Turing不稳定

Turing Instability Induced by Cross-diffusion in a Three-species Predator-prey Model

本文研究一类具有种内竞争的三种群捕食者-食饵模型的强耦合交错扩散系统,发现当捕食者对食饵的捕获水平高于食饵的种内竞争水平时,捕食者的大的交错扩散系数能够导致Turing不稳定.

In this paper, we study a strong coupled cross-diffusion system describing a three species predator-prey model with intra-species competition. It is shown that, when the rate of predation upon the prey is larger than the rate of intra-species competitions of the prey,then large cross-diffusion appearing in the predator can induce Turing instability.