This paper focuses on the social biological communication process on double-layer complex networks. We propose a virus resource asymmetric coupling propagation model to simulate the propagation process of virus affected by recovered resources, and use a generalized discrete Markov chain method to describe the propagation dynamics. This paper mainly considers the effects of initial seed fraction, network edge coincidence degree, degree distribution heterogeneity and public resource allocation ratio on virus transmission mechanism. We find that by increasing the edge coincidence rate between nodes in the two-tier network, the propagation range of the virus changes from discontinuous growth to continuous growth with the growth of propagation probability. When the heterogeneity of network degree distribution is weak and the initial seed fraction is small, with the increase of the proportion of public resources allocation, the critical probability of virus transmission gradually increases, and the critical probability of virus outbreak first decreases and then increases. At this time, there is a critical value for the public resource allocation proportion. When the public resource allocation proportion exceeds this value, the hybrid resource allocation strategy can be better than the neighbor resource allocation strategy. In other cases, increasing the proportion of public resources allocation will reduce the critical probability of virus transmission and increase the critical probability of virus global diffusion.

本文重点研究双层复杂网络上的社会生物通信过程。我们提出了一种病毒资源非对称耦合传播模型来模拟病毒受回收资源影响的传播过程，并使用广义离散马尔可夫链方法来描述传播动态。本文主要考虑初始种子分数、网络边缘重合度、度分布异质性和公共资源分配比例对病毒传播机制的影响。我们发现，通过提高两层网络中节点之间的边重合率，病毒的传播范围随着传播概率的增长，从不连续增长变为连续增长。当网络度分布异质性较弱且初始种子分数较小时，随着公共资源配置比例的增加，病毒传播的临界概率逐渐增大，病毒爆发的临界概率先减小后增大。此时，公共资源配置比例存在临界值。当公共资源分配比例超过该值时，混合资源分配策略可以优于邻居资源分配策略。在其他情况下，增加公共资源配置的比例会降低病毒传播的临界概率，增加病毒全球扩散的临界概率。病毒传播的临界概率逐渐增大，病毒爆发的临界概率先减小后增大。此时，公共资源配置比例存在临界值。当公共资源分配比例超过该值时，混合资源分配策略可以优于邻居资源分配策略。在其他情况下，增加公共资源配置的比例会降低病毒传播的临界概率，增加病毒全球扩散的临界概率。病毒传播的临界概率逐渐增大，病毒爆发的临界概率先减小后增大。此时，公共资源配置比例存在临界值。当公共资源分配比例超过该值时，混合资源分配策略可以优于邻居资源分配策略。在其他情况下，增加公共资源配置的比例会降低病毒传播的临界概率，增加病毒全球扩散的临界概率。当公共资源分配比例超过该值时，混合资源分配策略可以优于邻居资源分配策略。在其他情况下，增加公共资源配置的比例会降低病毒传播的临界概率，增加病毒全球扩散的临界概率。当公共资源分配比例超过该值时，混合资源分配策略可以优于邻居资源分配策略。在其他情况下，增加公共资源配置的比例会降低病毒传播的临界概率，增加病毒全球扩散的临界概率。