Abstract We propose an innovative mathematical model for studying the dynamics of a complex network of forest ecosystems, in which two forest patches interact which each other through water exchanges. Our model reproduces a recently analyzed principle of constant precipitation quantity over densely forested areas. We perform a stability and bifurcation analysis and show that the distance separating two forest ecosystems can attract a part of the network to an extinction state. We incorporate a randomly generated perturbation modeling deforestation and investigate the effect of the level of deforestation on the equilibrium states of the network. We also exhibit an original type of synchronization in the case of densely distributed forest ecosystems.

中文翻译：

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森林生态系统网络：其生物泵机制和对某些斑块森林砍伐的恢复力的数学建模

摘要 我们提出了一个创新的数学模型来研究复杂的森林生态系统网络的动态，其中两个森林斑块通过水交换相互作用。我们的模型再现了最近分析的茂密森林地区降水量恒定的原理。我们进行了稳定性和分叉分析，并表明分隔两个森林生态系统的距离可以将网络的一部分吸引到灭绝状态。我们结合了随机生成的扰动建模森林砍伐并研究森林砍伐水平对网络平衡状态的影响。在密集分布的森林生态系统的情况下，我们还展示了一种原始类型的同步。