EXISTENCE AND UNIQUENESS OF ENDEMIC STATES FOR THE AGE-STRUCTURED SEIR EPIDEMIC MODEL
EXISTENCE AND UNIQUENESS OF ENDEMIC STATES FOR THE AGE-STRUCTURED SEIR EPIDEMIC MODEL
摘要
An age-structured SEIR epidemic model of a vertically as well as horizontally transmitted disease is investigated. Threshold results for the existence of endemic states are established for most cases. Under certain conditions, uniqueness is also shown. Threshold used are explicitly computable in term of demographic and epiderniological parameters of the model.
基金
Supported by the Natural Science Foundation of Henan Province(No.0312002000 and No.0211044800)
the National Natural Science Foundation of China(No.10371105).
参考文献18
-
1P. E. M. Fine, Vectors and vertical transmission: An epidemiologic perspective, Annals N. Y.Academic Sci, 1979, 266: 173-194.
-
2S. N. Busenberg and K. L. Cooke, Vertically Transmitted Diseases: Models and Dynamics, Biomathematics, V. 23, Springer-Verlag, Berlin, 1993.
-
3S. N. Busenberg and K. L. Cooke, The population dynamics of two vertically transmitted infections,Theor. Popul. Biol, 1988, 33(2): 181-198.
-
4M. EI-Doma, Analysis of a general age-dependent vaccination model for a vertically transmitted diseases, Nonlinear Times and Digest, 1995, 2: 147-172.
-
5R. M. Anderson and R. M. May, Infectious Diseases of Humans: Dynamics and Control, Oxford University Press, Oxford, 1991.
-
6Y. Cha, M. Iannelli and E. Milner, Existence and uniqueness of endemic states for the age-structured SIR epidemic model, Math. Biosci, 1998, 150: 177-190.
-
7M. EI-Doma, Analysis of an age-dependent SIS epidemic model with vertical transmission and proportionate mixing assumption, Math. Comput. Model, 1999, 29: 31-43.
-
8D. Greenhalgh, Analytical threshold and stability results on age-structured epidemic models with vaccination, Theor. Popul. Biol, 1988,33: 266-290.
-
9M. Iannelli, F. Milner and A. Pugliese, Analytical and numerical results for the age-structured S-I-S epidemic model with mixed inter-intracohort transmission, SIAM J. Math. Anal, 1992, 23(3):662-688.
-
10M. Iannelli, M. Y. Kim and E. J. Park, Asymptotic behavior for an SIS epidemic model and its approximation, Nonlinear Analysis, 1997, 35: 797-814.
-
1彭志行,王璐,喻荣彬,丁国伟,于浩,陈峰,汪宁.亚洲艾滋病流行模型及其在我国艾滋病疫情预测中的应用[J].中华预防医学杂志,2010,44(2):97-100. 被引量：20
-
2张继东.识指甲 知健康[J].药物与人,2012(11):53-53.
-
3关超,彭云,袁文燕.基于元胞自动机带有干预机制的传染病模型[J].北京化工大学学报（自然科学版）,2011,38(6):109-113. 被引量：4
-
4倪莉红,Joseph Wu.应用数学模型研究联合措施的防流感效果[J].热带医学杂志,2014,14(2):241-245.
-
5雪梅.指甲会说话[J].健康管理,2012(5):44-45.
-
6陆忠华,jupiter.cnc.ac.cn,高淑京,l63.net,陈兰荪,math08.math.ac.cn.ANALYSIS OF AN SI EPIDEMIC MODEL WITH NONLINEAR TRANSMISSION AND STAGE STRUCTURE[J].Acta Mathematica Scientia,2003,23(4):440-446. 被引量：10
-
7卞文伯.古代房中术纠正早泄法[J].大众健康,2002(5):31-31.
-
8景妮琴.两类人群的手足口病模型的研究[J].大家,2012(18):101-101. 被引量：1
-
9周慧贤.值得警惕的“电视病”[J].中国保健食品,2016,29(9):38-39.
-
10倪莉红,Dr Joseph Wu.动力模型在评价流感疫苗控制大流行疫情效果中的研究[J].现代预防医学,2011,38(21):4487-4489. 被引量：1
