结构集合种群模型中的个体和斑块行为
Individual and patch behaviour in structured metapopulation models
摘要：
具有可数个类型的密度依赖马尔可夫种群过程在有限时间区间上通常可以通过描述其平均漂移的微分方程的解来很好地近似，只要总总体规模很大。他们也表现出扩散的随机波动在一个较小的规模上关于这个确定性的path.here，它表明，在这样的过程中的个人经历一个几乎确定性的环境。一小群个体的行为几乎彼此独立，演化为马尔可夫跳跃过程，其转移率是时间的规定函数。在集合种群模型的背景下，我们表明，“个人”可以代表补丁或补丁之间迁移的个人，在主机-寄生虫系统，他们可以代表主机和寄生虫。
英文摘要：
Density dependent Markov population processes with countably many types can often be well approximated over finite time intervals by the solution of the differential equations that describe their average drift, provided that the total population size is large. They also exhibit diffusive stochastic fluctuations on a smaller scale about this deterministic path. Here, it is shown that the individuals in such processes experience an almost deterministic environment. Small groups of individuals behave almost independently of one another, evolving as Markov jump processes, whose transition rates are prescribed functions of time. In the context of metapopulation models, we show that `individuals' can represent either patches or the individuals that migrate among the patches; in host--parasite systems, they can represent both hosts and parasites.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
