摘要
研究了一类两种群相互竞争的SIRS传染病模型,得到了一些平衡点稳定与否的阈值条件.揭示了两种群共存时,交叉传染对疾病传播的本质影响,即在无交叉传染疾病绝灭的情况下(一定条件时),若引入交叉传染,在相同的条件下,疾病就可能流行起来.
An autonomous SIRS epidemic model of two competitive species is formulated and analyzed. Some thresholds are identified and stability results of equilibria are proved. It is discovered that the inter-infection is crucial to the dynamical behavior of the system, namely, when the disease will die out without the inter-infection for both species, the disease may prevail in both species if the cross-infection is introduced.
出处
《生物数学学报》
CSCD
2003年第1期21-26,共6页
Journal of Biomathematics
基金
国家自然科学基金资助项目(19971066)
关键词
传染病模型
交叉传染
局部渐近稳定性
全局渐近稳定性
Epidemic model
Inter-infection of disease
Local asymptotic stability Global asymptotic stability
