Global stability of an SEIS epidemic model with recruitment and a varying total population size
Global stability of an SEIS epidemic model with recruitment and a varying total population size
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DOI：
10.1016/s0025-5564(00)00067-5
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发表时间：
2001-04-01
影响因子：
4.3
通讯作者：
Wang, K
中科院分区：
文献类型：
--
作者：
Fan, M;Li, MY;Wang, K
研究了一类具有常数招募、疾病致死和疾病潜伏期的SEIS传染病模型。关联项是双线性质量作用形式。结果表明，系统的全局动力学完全由基本再生数R-0决定。如果R-0小于或等于1，则无病平衡点是全局稳定的，并且疾病灭绝。若R-0 > 1，则在可行域内部存在唯一的地方病平衡点，且疾病持续存在于地方病平衡点。(C)2001 Elsevier Science Inc. All rights reserved.
This paper considers an SEIS epidemic model that incorporates constant recruitment, disease-caused death and disease latency. The incidence term is of the bilinear mass-action form. It is shown that the global dynamics is completely determined by the basic reproduction number R-0. If R-0 less than or equal to 1, the disease-free equilibrium is globally stable and the disease dies out. If R-0 > 1, a unique endemic equilibrium is globally stable in the interior of the feasible region and the disease persists at the endemic equilibrium. (C) 2001 Elsevier Science Inc. All rights reserved.