期刊论文

GLOBAL STABILITY OF AN SIR EPIDEMIC MODEL WITH SPECIES LOGISTIC GROWTH AND SATURATING INFECT RATE

中文

井冈山大学学报(自然科学版)

1674-8085

2013

3

13-17

10.3969/j.issn.1674-8085.2013.03.004

2012KS15:衡阳市科技局计划项目 12JJ9001:湖南省自然科学基金 2012SK3117:湖南省科技计划 :湖南省重点学科建设项目(十二五)

本校为第一机构

研究一类具有种群Logistic增长及饱和增长率SIR传染病模型，应用微分方程定性理论，分别得到了该系统的无病平衡点、地方平衡点全局渐近稳定的充分条件，并进行了数值模拟。

An SIR epidemic model with species logistic growth and Saturating Infect Rate is investigated. By using the qualitative theory of ordinary differential equations, sufficient conditions are obtained for the global asymptotic stability of each of feasible equilibrium to the proposed model. Furthermore, some numerical simulations are p...