Global stability of models of humoral immunity against multiple viral strains
Global stability of models of humoral immunity against multiple viral strains
复制标题
DOI：
10.1080/17513750903180275
复制
发表时间：
2010-05
影响因子：
2.8
通讯作者：
Toru Inoue;Tsuyoshi Kajiwara;Toru Sasaki
中科院分区：
文献类型：
--
作者：
Toru Inoue;Tsuyoshi Kajiwara;Toru Sasaki
我们分析，从数学的角度来看，全局稳定性的平衡点的模型描述感染因子和体液免疫之间的相互作用。我们考虑的模型，包含明确的病原体的变量。第一个模型考虑的情况下，只有一个应变存在。对于单菌株模型，如果基本再生比大于1，则疾病平衡态是全局渐近稳定的。其他模型考虑存在多种菌株的情况。对于多株模型，疾病平衡态是全局渐近稳定的。在没有明确包含免疫变量的模型中，只有一个具有最大基本繁殖比的菌株可以在稳态下存活。然而，在我们明确涉及免疫系统的模型中，多种菌株在稳态共存。
We analyse, from a mathematical point of view, the global stability of equilibria for models describing the interaction between infectious agents and humoral immunity. We consider the models that contain the variables of pathogens explicitly. The first model considers the situation where only a single strain exists. For the single strain model, the disease steady state is globally asymptotically stable if the basic reproductive ratio is greater than one. The other models consider the situations where multiple strains exist. For the multi-strain models, the disease steady state is globally asymptotically stable. In the model that does not explicitly contain an immune variable, only one strain with the maximum basic reproductive ratio can survive at the steady state. However, in our models explicitly involving the immune system, multiple strains coexist at the steady state.