Pattern dynamics in a water–vegetation model with cross‐diffusion and nonlocal delay
Gaihui Guo,
Jing You,
Khalid Ahmed Abbakar
Abstract:In semiarid areas, the positive feedback effect of vegetation and soil moisture plays an indispensable role in the water absorption process of plant roots. In addition, vegetation can absorb water through the nonlocal interaction of roots. Therefore, in this article, we consider how the interactions between cross‐diffusion and nonlocal delay affect vegetation growth. Through mathematical analysis, the conditions for the occurrence of the Turing pattern in the water–vegetation model are obtained. Meanwhile, usi… Show more
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