A two-strain rotavirus model with vaccination and homotypic protection is proposed to study the survival of the two strains of rotavirus within the host. Corresponding to the different efficacy of monovalent vaccine against different strains, the vaccination reproduction numbers of the two strains and the reproduction numbers of their mutual invasion are found. Based on the existence and local stability of equilibria, our results suggest that the obtained reproduction numbers determine together the dynamics of the model, and that the two-strain rotavirus dies out as both the numbers is less than unity. The coexistence of two strains, one of which is dominant, is also related to the two reproduction numbers.

中文翻译：

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具有两个菌株和同型保护的轮状病毒疾病模型的动力学行为

提出了具有疫苗接种和同型保护的两株轮状病毒模型，以研究这两种轮状病毒在宿主体内的存活。对应于单价疫苗针对不同菌株的不同功效，发现了两种菌株的疫苗接种繁殖数和它们相互入侵的繁殖数。基于平衡的存在和局部稳定性，我们的结果表明，获得的繁殖数量共同决定了模型的动力学，并且两株轮状病毒死亡，因为这两个数量均小于1。两个菌株的共存，其中一个是显性的，也与两个繁殖数有关。