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| 两种群相互竞争的具有垂直传染的SIS传染病模型 | |
| 引用本文： | 宋运娜,腾辉,吴红梅,丁爱霞.两种群相互竞争的具有垂直传染的SIS传染病模型[J].高师理科学刊,2012(4):25-29. |
| 作者姓名： | 宋运娜 腾辉 吴红梅 丁爱霞 |
| 作者单位： | 1. 齐齐哈尔医学院高等数学教研室,黑龙江齐齐哈尔161006 2. 兰州理工大学理学院,甘肃兰州730050 3. 湖南科技大学理学院,湖南湘潭411201 |
| 基金项目： | 黑龙江省教育厅科学研究项目(12513096) |
| 摘 要： | 研究了一类具有垂直传染率的两种群相互竞争S(易感染者)-I(感染者)-S(易感染者)传染病模型,讨论了平衡点的存在性和全局稳定性,并分析垂直传染及交叉感染对系统本质影响. |
| 关 键 词： | 垂直传染 竞争种群 稳定性 交叉传染 |
An autonomous SIS epidemic model with vertical incidence of two competitive species |
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| SONG Yun-na,TENG Hui,WU Hong-mei,DING Ai-xia.An autonomous SIS epidemic model with vertical incidence of two competitive species[J].Journal of Science of Teachers＇College and University,2012(4):25-29. | |
| Authors: | SONG Yun-na TENG Hui WU Hong-mei DING Ai-xia |
| Institution: | 1.Department of Advanced Mathematics,Qiqihar Medical College,Qiqihar 161006,China;2.School of Science,Lanzhou University of Technology, Lanzhou 730050,China;3.School of Science,Hunan University of Science and Technology,Xiangtan 411201,China) |
| Abstract: | Studied an autonomous S(susceptible)-I(infective)-S(susceptible)epidemic model with the vertical incidence for two competitive species.Discussed the stability and uniformly persistence of equilibrium point.Analyzed the essential impaction of the vertical incidence and cross-infection on the dynamical behavior of the system. |
| Keywords: | vertical incidence competitive species stability cross-infection of disease |
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