期刊
NONLINEAR DYNAMICS
卷 69, 期 4, 页码 1631-1638出版社
SPRINGER
DOI: 10.1007/s11071-012-0374-6
关键词
Predator-prey; Cross diffusion; Pattern formation
资金
- National Natural Science Foundation of China [11171314, 10901145, 11147015]
- Program for Basic Research [2010011007]
- International and Technical Cooperation Project [2010081005]
In this paper, spatial patterns of a Holling-Tanner predator-prey model subject to cross diffusion, which means the prey species exercise a self-defense mechanism to protect themselves from the attack of the predator are investigated. By using the bifurcation theory, the conditions of Hopf and Turing bifurcation critical line in a spatial domain are obtained. A series of numerical simulations reveal that the typical dynamics of population density variation is the formation of isolated groups, such as spotted, stripe-like, or labyrinth patterns. Our results confirm that cross diffusion can create stationary patterns, which enrich the finding of pattern formation in an ecosystem.
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