Zoology of a Nonlocal Cross-Diffusion Model for Two Species
Zoology of a Nonlocal Cross-Diffusion Model for Two Species
We study a nonlocal two species cross-interaction model with cross-diffusion. We propose a positivity preserving finite volume scheme based on the numerical method introduced in [J. A. Carrillo, A. Chertock, and Y. Huang, Commun. Comput. Phys., 17 (2015), pp. 233--258] and explore this new model numerically in terms of its …