论文标题
饮食多样性的演变和饥饿驱动的交叉扩散系统作为其奇异极限
Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit
论文作者
论文摘要
我们严格地证明了从Lotka-Volterra反应扩散系统到快速反应极限的交叉扩散系统的通道。该系统模拟了两个物种的竞争，其中一种物种的饮食比另一种饮食更多样化。最终的极限给出了饥饿驱动类型的交叉扩散系统。我们研究了这些系统的均匀平衡的线性稳定性，并排除了图灵不稳定性的可能性。包括与理论结果兼容的数值模拟。
We rigorously prove the passage from a Lotka-Volterra reaction-diffusion system towards a cross-diffusion system at the fast reaction limit. The system models a competition of two species, where one species has a more diverse diet than the other. The resulting limit gives a cross-diffusion system of a starvation driven type. We investigate the linear stability of homogeneous equilibria of those systems and rule out the possibility of Turing instability. Numerical simulations are included which are compatible with the theoretical results.
