Dynamics of a multigroup SIRS epidemic model with random perturbations and varying total population size

Qun Liu;  ; Daqing Jiang;  ;

doi:10.3934/cpaa.2020050

Dynamics of a multigroup SIRS epidemic model with random perturbations and varying total population size

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020050 ◽

2020 ◽

Vol 19 (2) ◽

pp. 1089-1110

Author(s):

Qun Liu ◽

◽

Daqing Jiang ◽

◽

Keyword(s):

Population Size ◽

Epidemic Model ◽

Total Population ◽

Random Perturbations ◽

Total Population Size ◽

Sirs Epidemic Model ◽

Varying Total Population Size

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Further stability analysis for a multi-group SIRS epidemic model with varying total population size

Applied Mathematics Letters ◽

10.1016/j.aml.2014.07.005 ◽

2014 ◽

Vol 38 ◽

pp. 73-78 ◽

Cited By ~ 10

Author(s):

Yoshiaki Muroya ◽

Toshikazu Kuniya

Keyword(s):

Stability Analysis ◽

Population Size ◽

Epidemic Model ◽

Total Population ◽

Total Population Size ◽

Sirs Epidemic Model ◽

Varying Total Population Size

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Global stability of an SEIS epidemic model with recruitment and a varying total population size

Mathematical Biosciences ◽

10.1016/s0025-5564(00)00067-5 ◽

2001 ◽

Vol 170 (2) ◽

pp. 199-208 ◽

Cited By ~ 72

Author(s):

Meng Fan ◽

Michael Y. Li ◽

Ke Wang

Keyword(s):

Global Stability ◽

Population Size ◽

Epidemic Model ◽

Total Population ◽

Total Population Size ◽

Varying Total Population Size

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Analysis of an Age Structured SEIRS Epidemic Model with Varying Total Population Size and Vaccination

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-004-0145-3 ◽

2004 ◽

Vol 20 (1) ◽

pp. 25-36 ◽

Cited By ~ 2

Author(s):

Xue-Zhi Li ◽

Geni Gupur ◽

Guang-Tian Zhu

Keyword(s):

Population Size ◽

Epidemic Model ◽

Total Population ◽

Total Population Size ◽

Seirs Epidemic Model ◽

Age Structured ◽

Varying Total Population Size

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GLOBAL STABILITY OF AN SEIS EPIDEMIC MODEL WITH QUARANTINE AND A VARYING TOTAL POPULATION SIZE

Far East Journal of Applied Mathematics ◽

10.17654/am100040325 ◽

2018 ◽

Vol 100 (4) ◽

pp. 325-331

Author(s):

Ning Cui

Keyword(s):

Global Stability ◽

Population Size ◽

Epidemic Model ◽

Total Population ◽

Total Population Size ◽

Varying Total Population Size

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Stability of an seis epidemic model with constant recruitment and a varying total population size

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-996-0016-1 ◽

2006 ◽

Vol 21 (1) ◽

pp. 1-8 ◽

Cited By ~ 2

Author(s):

Chen Junjie ◽

Liu Xiangguan

Keyword(s):

Population Size ◽

Epidemic Model ◽

Total Population ◽

Total Population Size ◽

Varying Total Population Size

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The stationary distribution of a stochastic SIQS epidemic model with varying total population size

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106974 ◽

2021 ◽

Vol 116 ◽

pp. 106974

Author(s):

Xiao-Bing Zhang ◽

Rui-Jie Liu

Keyword(s):

Population Size ◽

Stationary Distribution ◽

Epidemic Model ◽

Total Population ◽

Total Population Size ◽

Varying Total Population Size

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Global stability of a multi-group SIS epidemic model with varying total population size

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.05.124 ◽

2015 ◽

Vol 265 ◽

pp. 785-798 ◽

Cited By ~ 4

Author(s):

Toshikazu Kuniya ◽

Yoshiaki Muroya

Keyword(s):

Global Stability ◽

Population Size ◽

Epidemic Model ◽

Total Population ◽

Total Population Size ◽

Sis Epidemic Model ◽

Varying Total Population Size ◽

Sis Epidemic

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The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size

Applied Mathematical Modelling ◽

10.1016/j.apm.2020.09.050 ◽

2021 ◽

Vol 91 ◽

pp. 749-767 ◽

Cited By ~ 1

Author(s):

Xiao-Bing Zhang ◽

Xiao-Hong Zhang

Keyword(s):

Population Size ◽

Epidemic Model ◽

Total Population ◽

Total Population Size ◽

Varying Total Population Size

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Qualitative analyses of SIS epidemic model with vaccination and varying total population size

Mathematical and Computer Modelling ◽

10.1016/s0895-7177(02)00082-1 ◽

2002 ◽

Vol 35 (11-12) ◽

pp. 1235-1243 ◽

Cited By ~ 70

Author(s):

Jianquan Li ◽

Zhien Ma

Keyword(s):

Population Size ◽

Epidemic Model ◽

Total Population ◽

Total Population Size ◽

Sis Epidemic Model ◽

Varying Total Population Size ◽

Qualitative Analyses ◽

Sis Epidemic

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Impulsive Vaccination of an SEIRS Model with Time Delay and Varying Total Population Size

Bulletin of Mathematical Biology ◽

10.1007/s11538-006-9149-x ◽

2006 ◽

Vol 69 (2) ◽

pp. 731-745 ◽

Cited By ~ 46

Author(s):

Shujing Gao ◽

Lansun Chen ◽

Zhidong Teng

Keyword(s):

Time Delay ◽

Population Size ◽

Total Population ◽

Total Population Size ◽

Varying Total Population Size ◽

Impulsive Vaccination

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