Medvinsky A B, Tikhonova I A, Aliev R R, Li B L, Lin Z S, Malchow H
Institute for Theoretical & Experimental Biophysics, Pushchino, Moscow Region, 142290 Russia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Aug;64(2 Pt 1):021915. doi: 10.1103/PhysRevE.64.021915. Epub 2001 Jul 26.
We study the role of the diffusive interaction in plankton dynamics in a patchy environment. We use a minimal reaction-diffusion model of the nutrient-plankton-fish food chain to simulate the diffusive interaction between fish-populated and fish-free habitats. We show that such interaction can give rise to spatiotemporal plankton patterns. The plankton dynamics depend on the fish predation rate and can exhibit both regular and chaotic behavior. We show that limit cycle and chaotic attractor coexist in the system. The entire basin of attraction of the limit cycles is found to be riddled with "holes" leading to the competitive chaotic attractors. The chaotic dynamics is typical of a wide range of the fish predation rates.
我们研究了斑块状环境中扩散相互作用在浮游生物动态中的作用。我们使用营养物 - 浮游生物 - 鱼类食物链的最小反应 - 扩散模型来模拟有鱼栖息和无鱼栖息区域之间的扩散相互作用。我们表明,这种相互作用会产生时空浮游生物模式。浮游生物动态取决于鱼类捕食率,并且可以表现出规则和混沌行为。我们表明,极限环和混沌吸引子在系统中共存。发现极限环的整个吸引域布满了通向竞争性混沌吸引子的“洞”。混沌动力学在广泛的鱼类捕食率范围内都很典型。