The model of interaction of two strains of the virus is considered in the paper. The model is based on a nonstationary system of differential equations with delays and takes into account populations of susceptible, first-time and re-infected individuals across two strains. For small values of the delays, the conditions of global asymptotic stability are obtained with the help of Lyapunov functionals technique. In some special cases the exponential estimates are constructed. On the basis of numerical modeling complex chaotic solutions of the model are obtained. Their investigation is performed with help of nonlinear characteristics, namely bifurcation maps based on Poincare sections and the maximal Lyapunov exponent were obtained.

本文考虑了两种病毒的相互作用模型。该模型基于具有延迟的微分方程的非平稳系统，并考虑了两个菌株之间易感，初次感染和再次感染的个体的种群。对于较小的延迟值，借助Lyapunov函数技术获得了全局渐近稳定性的条件。在某些特殊情况下，将构建指数估计。在数值建模的基础上，获得了模型的复杂混沌解。他们的研究是借助非线性特性进行的，即获得了基于庞加莱截面的分叉图和最大Lyapunov指数。