Impact of awareness in metapopulation epidemic model to suppress the infected individuals for different graphs
Impact of awareness in metapopulation epidemic model to suppress the infected individuals for different graphs
复制标题
DOI：
10.1140/epjb/e2019-90570-7
复制
发表时间：
2019-09-01
影响因子：
1.6
通讯作者：
Tanimotoc, Jun
中科院分区：
文献类型：
--
作者：
Kabir, K. M. Ariful;Tanimotoc, Jun
在SIS传染病扩散模型中，为了反映意识的影响，建立了子种群随机游走的具有信息传播的集合种群动力学模型。研究了两层SIS-UA（传染病-感染病-不知情-知晓）传染病模型，其中每个节点表示一个子种群.个体通过随机游走从图上的一个节点迁移到另一个节点，或者自己迁移到另一个节点，或者强行迁移到另一个节点以逃避传染病。此外，节点中的个人被分为四种状态：无意识易感（US）、有意识易感（AS）、无意识感染（UI）和有意识感染（AI）。同时，为了研究图的拓扑结构对每个节点（子种群）中个体的影响，我们将星星图、圈图、轮图和完全图分别作为不同节点数下的同构和异构连接的表示。迁移对信息传播的影响表现为以时间步长制服感染者。最后，几个令人印象深刻的情况下，在每个亚群中的个人被允许（或说，推动）迁移的属性被认为是，这是总结在一个完整的相图的形式。
The metapopulation dynamical model with information spreading in SIS epidemic diffusion model is presented for random walkers for sub-populations to display the effect of awareness. Two-layer SIS-UA (susceptible-infected-susceptible-unaware-aware) epidemic model is considered to reveal the effect of information spreading in a graph, where, each node denoted a sub-population. The individuals migrate by random walk from one node to another node on the graph by themselves or forcefully to escape from contagious disease. Moreover, the individuals in a node are classified into four states as unaware susceptible (US), aware susceptible (AS), unaware infected (UI) and aware infected (AI). Meanwhile, to study the impact of graph topology on individuals in each node (subpopulation), four different graphs: star, cycle, wheel and complete are considered as representing both homogeneous and heterogeneous connections with the various number of nodes. The influence of migration for information spreading is displayed to subdue infected individuals with time steps. Finally, several impressive cases in terms of what attributes of individuals in each subpopulation being allowed (or say, pushed) migration are considered, which is summarized in the form of a full phase diagram.