Generalized stacked contact process with variable host fitness
Generalized stacked contact process with variable host fitness
复制标题
具有可变宿主适应度的广义堆叠接触过程
DOI：
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发表时间：
2015
影响因子：
1
通讯作者：
N. Lanchier
中科院分区：
文献类型：
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作者：
E. Foxall;N. Lanchier
堆叠接触过程是描述寄主群体与其共生体共同进化的三态自旋系统。简而言之，寄主是根据接触过程进化的，而共生体是根据在寄主种群占据的晶格动态子集上的接触过程进化的，这表明共生体只能在寄主内生存。本文讨论了共生体通过降低（病原体）或增加（共生体）其出生率来影响宿主适合度的系统的推广。首先使用标准耦合参数将这一过程与其他相互作用的粒子系统进行比较，并推断出宿主-共生体系统在几个参数区域的长期行为。空间模型还与Foxall（2019）详细研究的平均场近似进行了比较。我们的主要结果集中在非相关宿主具有超临界出生率而与病原体相关的宿主具有亚临界出生率的情况下。在这种情况下，如果感染率足够大，平均场模型预测宿主和病原体共存。然而，对于空间模型，只有宿主在一维整数晶格上存活。
Abstract The stacked contact process is a three-state spin system that describes the co-evolution of a population of hosts together with their symbionts. In a nutshell, the hosts evolve according to a contact process while the symbionts evolve according to a contact process on the dynamic subset of the lattice occupied by the host population, indicating that the symbiont can only live within a host. This paper is concerned with a generalization of this system in which the symbionts may affect the fitness of the hosts by either decreasing (pathogen) or increasing (mutualist) their birth rate. Standard coupling arguments are first used to compare the process with other interacting particle systems and deduce the long-term behavior of the host–symbiont system in several parameter regions. The spatial model is also compared with its mean-field approximation as studied in detail by Foxall (2019). Our main result focuses on the case where unassociated hosts have a supercritical birth rate whereas hosts associated to a pathogen have a subcritical birth rate. In this case, the mean-field model predicts coexistence of the hosts and their pathogens provided the infection rate is large enough. For the spatial model, however, only the hosts survive on the one-dimensional integer lattice.