系统、环境和孤子速率方程：种群动力学的非柯尔莫哥洛夫框架
Systems, environments, and soliton rate equations: A non-Kolmogorovian framework for population dynamics
摘要：
孤子速率方程是基于非柯尔莫哥洛夫概率模型，自然包括自催化过程。的形式主义是不广为人知，但有很大的未开发的潜力与环境交互的系统的应用程序。从联系的上下文非Kolmogorovity，我们介绍了孤子速率方程的一般形式，并制定出明确的例子与环境相互作用的子系统。特别感兴趣的是一个孤立子自催化速率方程耦合到一个线性保守的环境，一个正式的方式来表达季节性变化的情况下。根据系统-环境耦合的强度，我们观察到类似于冬眠的现象，甚至完全阻止种群的衰变。
英文摘要：
Soliton rate equations are based on non-Kolmogorovian models of probability and naturally include autocatalytic processes. The formalism is not widely known but has great unexplored potential for applications to systems interacting with environments. Beginning with links of contextuality to non-Kolmogorovity we introduce the general formalism of soliton rate equations and work out explicit examples of subsystems interacting with environments. Of particular interest is the case of a soliton autocatalytic rate equation coupled to a linear conservative environment, a formal way of expressing seasonal changes. Depending on strength of the system-environment coupling we observe phenomena analogous to hibernation or even complete blocking of decay of a population.
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