生态系统的多稳态与突变
徐驰, 王海军, 刘权兴, 王博

Alternative stable states and tipping points of ecosystems
Chi Xu, Haijun Wang, Quanxing Liu, Bo Wang
表1 一个淡水沼泽湿地生态系统中产生的植物空间自组织格局与稳态转换的模型
Table 1 Theoretical model for a freshwater wetland ecosystem that has plant spatial self-organization and alternative stable states
模型方程 反馈机制
植被生物量模型1
Vegetation biomass model 1
$\frac{\partial P}{\partial t}=P\left( 1-P \right)-iWP-sP+{{D}_{P}}\Delta P$ 抑制
Inhibition
植被生物量模型2
Vegetation biomass model 2
$\frac{\partial P}{\partial t}=P\left( 1-P \right)\frac{P}{P+{{k}_{2}}}-iWP-sP+{{D}_{P}}\Delta P$ 促进 + 抑制
Facilitation + inhibition
植被生物量模型3
Vegetation biomass model 3
$\frac{\partial P}{\partial t}=P\left( 1-P \right)-\frac{{{k}_{3}}}{P+{{k}_{3}}}iWP-sP+{{D}_{P}}\Delta P$ 促进 + 抑制
Facilitation + inhibition
枯落物生物量
Wrack biomass
$\frac{\partial W}{\partial t}=sP-bW+{{D}_{W}}\Delta W$