论文标题
关于竞争性三病毒SIS网络模型的地方性行为
On the Endemic Behavior of a Competitive Tri-Virus SIS Networked Model
论文作者
论文摘要
本文研究了多竞争性网络易感感染敏感（SIS）模型的地方性行为。特别是，我们专注于有三种竞争病毒（即三病毒系统）的情况。首先，我们证明三病毒系统不是单调系统。此后，我们提供了一种条件，可以保证局部指数融合到边界平衡（一种恰好是一种病毒是地方性的，另一种病毒是死亡的），并确定了一种特殊情况，该案例承认了共存平衡线的存在和局部指数的可观，至少有两个病毒是活跃的）。最后，我们确定了一种特定情况（由上述特殊情况包含），以便在所有非零初始感染水平上，三病毒系统的动力学收敛到共存平衡的平面。
This paper studies the endemic behavior of a multi-competitive networked susceptible-infected-susceptible (SIS) model. In particular, we focus on the case where there are three competing viruses (i.e., the tri-virus system). First, we show that the tri-virus system is not a monotone system. Thereafter, we provide a condition that guarantees local exponential convergence to a boundary equilibrium (exactly one virus is endemic, the other two are dead), and identify a special case that admits the existence and local exponential attractivity of a line of coexistence equilibria (at least two viruses are active). Finally, we identify a particular case (subsumed by the aforementioned special case) such that, for all nonzero initial infection levels, the dynamics of the tri-virus system converge to a plane of coexistence equilibria.
