Pigolotti Simone, Flammini Alessandro, Maritan Amos
International School for Advanced Studies (SISSA-ISAS), Trieste, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Jul;70(1 Pt 1):011916. doi: 10.1103/PhysRevE.70.011916. Epub 2004 Jul 30.
We propose a model based on coupled multiplicative stochastic processes to understand the dynamics of competing species in an ecosystem. This process can be conveniently described by a Fokker-Planck equation. We provide an analytical expression for the marginalized stationary distribution. Our solution is found in excellent agreement with numerical simulations and compares rather well with observational data from tropical forests.
我们提出了一个基于耦合乘法随机过程的模型，以理解生态系统中竞争物种的动态。这个过程可以用福克-普朗克方程方便地描述。我们给出了边际稳态分布的解析表达式。我们的解与数值模拟结果非常吻合，并且与来自热带森林的观测数据相比也相当不错。
