Competitive exclusion and coexistence of multiple strains in an SISSTD model
Competitive exclusion and coexistence of multiple strains in an SISSTD model
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DOI：
10.1137/s0036139997325862
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发表时间：
1999-09-01
影响因子：
1.9
通讯作者：
Li, J
中科院分区：
文献类型：
--
作者：
Castillo-Chavez, C;Huang, WZ;Li, J
在本文中，我们给出了一个比较完整的分析的两个性别，易感染-易感染（SIS）的性传播疾病（STD）模型与两个竞争的菌株，其中女性被分为两个不同的群体的基础上，他们对两个不同的致病菌株的敏感性。我们调查的存在性和稳定性的边界平衡的特点的竞争排斥的两个竞争菌株，我们还调查的存在性和稳定性的正共存平衡，这两个菌株的共存的可能性的特点。我们得到了这些平衡点存在和全局稳定的充分必要条件。我们验证了边界平衡点的稳定性和共存平衡点的存在性之间有很强的联系，即存在唯一的共存平衡点当且仅当边界平衡点都存在且具有相同的稳定性。这种共存是全局稳定的或不稳定的，当且仅当两个边界平衡点都是不稳定的或都是稳定的。
In this paper we give a rather complete analysis for a two-sex, susceptible-infective-susceptible (SIS) sexually transmitted disease (STD) model with two competing strains, where the females are divided into two different groups based on their susceptibility to two distinct pathogenic strains. We investigate the existence and stability of the boundary equilibria that characterize the competitive exclusion of the two competing strains; we also investigate the existence and stability of the positive coexistence equilibrium, which characterizes the possibility of coexistence of the two strains. We obtain sufficient and necessary conditions for the existence and global stability of these equilibria. We verify that there is a strong connection between the stability of the boundary equilibria and the existence of the coexistence equilibrium-that is, there exists a unique coexistence equilibrium if and only if the boundary equilibria both exist and have the same stability. This coexistence is globally stable or unstable if and only if the two boundary equilibria are both unstable or both stable.