中国物理B ›› 2008, Vol. 17 ›› Issue (11): 3936-3941.doi: 10.1088/1674-1056/17/11/003
靳 祯2, 刘权兴3, 李 莉3
Sun Gui-Quan (孙桂全), Jin Zhen(靳祯), Liu Quan-Xing(刘权兴), Li Li(李莉)
摘要: This paper considers the Holling--Tanner model for predator--prey with self and cross-diffusion. From the Turing theory, it is believed that there is no Turing pattern formation for the equal self-diffusion coefficients. However, combined with cross-diffusion, it shows that the system will exhibit spotted pattern by both mathematical analysis and numerical simulations. Furthermore, asynchrony of the predator and the prey in the space. The obtained results show that cross-diffusion plays an important role on the pattern formation of the predator--prey system.
中图分类号: (Population dynamics and ecological pattern formation)