期刊论文

The dynamical analysis of an SIS epidemic model with the logistic birth rate

中文

陕西科技大学学报

2096-398X

2014

4

167-171

10.3969/j.issn.1000-5811.2014.04.036

10771139:国家自然科学基金 2013XCX10:南华大学研究生科研创新项目

本校为第一机构

许多传染病流行时间远超过物种的生命周期，基于此我们建立和研究了一类具logis-tic出生率的SIS传染病模型。利用微分方程稳定性理论，研究了平衡点的存在性及其稳定性的条件，并用Dulac函数证明了闭轨线和奇异闭轨线的不存在性，证明了各平衡点稳定的条件。

The transmission time of many infectious diseases is longer than the lifetime of spe-cies .In this paper ,we consider an SIS epidemic model with the logistic birth rate .By using the qualitative theory of ordinary differential equations and Dulac functions ,we obtain the ex-istence of equilibrium and stability conditions and the nonexistence of closed trajectory and singular closed trajectory .In addition ,we prove the condi...