Most diseases have multiple pathogenic strains, which may impose difficulty in combatting the disease and lead to rich dynamics. However, their dynamical properties are not well understood. For this purpose, we formulate and analyze a two-strain SIS epidemic model with a competing mechanism and general infection force on complex networks. We derive the basic reproduction number and introduce the invasion reproduction numbers for each strain. We demonstrate that if $R_0<1$, the disease-free equilibrium is globally asymptotically stable, i.e., the disease will die out. If $R_0>1$, the conditions of the existence and global asymptotical stability of dominant equilibria are further studied. The persistence of the system is also addressed. Numerical simulations are given to illustrate the theoretical results.

大多数疾病具有多种致病菌株，这可能会增加疾病抵抗力并带来丰富的动态。然而，它们的动力学性质还没有被很好地理解。为此，我们建立并分析了具有竞争机制和对复杂网络的一般感染力的两株SIS流行病模型。我们得出基本繁殖数，并介绍每种菌株的入侵繁殖数。我们证明，如果${\mathrm{[R}}_0<\mathrm{1个}$，无病平衡在全局上是渐近稳定的，即疾病将消亡。如果${\mathrm{[R}}_0>\mathrm{1个}$进一步研究了显性平衡的存在条件和全局渐近稳定性。还解决了系统的持久性。数值模拟说明了理论结果。