Progression age enhanced backward bifurcation in an epidemic model with super-infection

被引：0

作者：

Maia Martcheva

Horst R. Thieme

机构：

[1] Department of Mathematics,

[2] Polytechnic University,undefined

[3] Brooklyn,undefined

[4] NY 11201,undefined

[5] USA. e-mail: mayam@duke.poly.edu,undefined

[6] Department of Mathematics,undefined

[7] Arizona State University,undefined

[8] Tempe,undefined

[9] AZ,undefined

[10] 85287-1804,undefined

[11] USA. e-mail: h.thieme@asu.edu,undefined

来源：

Journal of Mathematical Biology | 2003年 / 46卷

关键词：

Reproduction Number; Epidemic Model; Variable Susceptibility; Basic Reproduction Number; Exposed Class;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a model for a disease with a progressing and a quiescent exposed class and variable susceptibility to super-infection. The model exhibits backward bifurcations under certain conditions, which allow for both stable and unstable endemic states when the basic reproduction number is smaller than one.

引用

页码：385 / 424

页数：39

共 50 条

[11] A simple SIS epidemic model with a backward bifurcation
P. van den Driessche
James Watmough
[J]. Journal of Mathematical Biology, 2000, 40 : 525 - 540
[12] The backward bifurcation of a model for malaria infection
Wang, Juan
Li, Xue-Zhi
Bhattacharya, Souvik
[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2018, 11 (02)
[13] Backward bifurcation in a stage-structured epidemic model
Zhang, Fengqin
Zhao, Tian
Liu, Hanwu
Chen, Yuming
[J]. APPLIED MATHEMATICS LETTERS, 2019, 89 : 85 - 90
[14] BACKWARD BIFURCATION AND GLOBAL STABILITY IN A HEROIN EPIDEMIC MODEL
Memarbashi, Reza
Taghavi, Somaye
[J]. COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2020, : 1 - 27
[15] On a backward bifurcation of an epidemic model with capacities of treatment and vaccination
Gion, Hiromu
Saito, Yasuhisa
Yazaki, Shigetoshi
[J]. JSIAM LETTERS, 2021, 13 : 64 - 67
[16] Backward bifurcation of an epidemic model with saturated treatment function
Zhang, Xu
Liu, Xianning
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) : 433 - 443
[17] Dynamical properties and thresholds of an HIV model with super-infection
Malunguza, N. J.
Hove-Musekwa, S. D.
Dube, S.
Mukandavire, Z.
[J]. MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA, 2017, 34 (04): : 493 - 522
[18] Vaccination strategies and backward bifurcation in an age-since-infection structured model
Kribs-Zaleta, CM
Martcheva, M
[J]. MATHEMATICAL BIOSCIENCES, 2002, 177 : 317 - 332
[19] Backward bifurcation of an age-structured epidemic model with partial immunity: The Lyapunov–Schmidt approach
Yang, Junyuan
Zhou, Miao
Li, Xuezhi
[J]. Applied Mathematics Letters, 2022, 133
[20] Steady-state analysis of a continuum model for super-infection
Bard Ermentrout
Stuart Hastings
[J]. Journal of Mathematical Biology, 2009, 59 : 415 - 438

← 1 2 3 4 5 →