Cao, Hui; Han, Mengmeng; Yang, Junyuan; Liu, Lili; Li, Haiyan Hopf bifurcation of an SEIRS model with age structure and time delay. (English) Zbl 1512.92096 J. Biol. Syst. 31, No. 1, 245-269 (2023). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 92D30 34D20 34C23 PDFBibTeX XMLCite \textit{H. Cao} et al., J. Biol. Syst. 31, No. 1, 245--269 (2023; Zbl 1512.92096) Full Text: DOI
Liu, Hailiang; Tian, Xuping Data-driven optimal control of a SEIR model for COVID-19. (English) Zbl 1516.92112 Commun. Pure Appl. Anal. 22, No. 1, 19-39 (2023). MSC: 92D30 49M25 PDFBibTeX XMLCite \textit{H. Liu} and \textit{X. Tian}, Commun. Pure Appl. Anal. 22, No. 1, 19--39 (2023; Zbl 1516.92112) Full Text: DOI arXiv
Kuniya, Toshikazu Recurrent epidemic waves in a delayed epidemic model with quarantine. (English) Zbl 1497.92270 J. Biol. Dyn. 16, No. 1, 619-639 (2022). MSC: 92D30 34K13 34K20 PDFBibTeX XMLCite \textit{T. Kuniya}, J. Biol. Dyn. 16, No. 1, 619--639 (2022; Zbl 1497.92270) Full Text: DOI
Wang, Shishi; Ding, Yuting; Lu, Hongfan; Gong, Silin Stability and bifurcation analysis of \(SIQR\) for the COVID-19 epidemic model with time delay. (English) Zbl 1501.92201 Math. Biosci. Eng. 18, No. 5, 5505-5524 (2021). Reviewer: Ivy Shiue (Sodankylä) MSC: 92D30 34D20 34C23 PDFBibTeX XMLCite \textit{S. Wang} et al., Math. Biosci. Eng. 18, No. 5, 5505--5524 (2021; Zbl 1501.92201) Full Text: DOI
Bernoussi, Amine Bifurcation of periodic solutions of a delayed SEIR epidemic model with nonlinear incidence rate. (English) Zbl 1485.37076 J. Appl. Nonlinear Dyn. 10, No. 3, 351-367 (2021). MSC: 37N25 92D30 PDFBibTeX XMLCite \textit{A. Bernoussi}, J. Appl. Nonlinear Dyn. 10, No. 3, 351--367 (2021; Zbl 1485.37076) Full Text: DOI
Moneim, Islam A. An SEIR model with infectious latent and a periodic vaccination strategy. (English) Zbl 1486.92259 Math. Model. Anal. 26, No. 2, 236-252 (2021). Reviewer: Wasiur Rahman Khuda Bukhsh (Nottingham) MSC: 92D30 92C60 34D23 PDFBibTeX XMLCite \textit{I. A. Moneim}, Math. Model. Anal. 26, No. 2, 236--252 (2021; Zbl 1486.92259) Full Text: DOI
Liu, Qun; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed Threshold behavior in a stochastic delayed SIS epidemic model with vaccination and double diseases. (English) Zbl 1418.92178 J. Franklin Inst. 356, No. 13, 7466-7485 (2019). MSC: 92D30 92C60 93E03 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Franklin Inst. 356, No. 13, 7466--7485 (2019; Zbl 1418.92178) Full Text: DOI
Kuniya, Toshikazu Global behavior of a multi-group SIR epidemic model with age structure and an application to the chlamydia epidemic in Japan. (English) Zbl 1415.35264 SIAM J. Appl. Math. 79, No. 1, 321-340 (2019). MSC: 35Q92 37N25 92D30 PDFBibTeX XMLCite \textit{T. Kuniya}, SIAM J. Appl. Math. 79, No. 1, 321--340 (2019; Zbl 1415.35264) Full Text: DOI
Cui, Ning Global stability of an SEIS epidemic model with quarantine and a varying total population size. (English) Zbl 1431.92132 Far East J. Appl. Math. 100, No. 4, 325-331 (2018). MSC: 92D30 34D23 92C60 PDFBibTeX XMLCite \textit{N. Cui}, Far East J. Appl. Math. 100, No. 4, 325--331 (2018; Zbl 1431.92132) Full Text: DOI
Kuniya, Toshikazu Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs. (English) Zbl 1404.92190 Mathematics 6, No. 9, Paper No. 147, 10 p. (2018); correction ibid. 6, No. 11, Paper No. 252, 1 p. (2018). MSC: 92D30 34C60 34D05 34D20 35Q92 PDFBibTeX XMLCite \textit{T. Kuniya}, Mathematics 6, No. 9, Paper No. 147, 10 p. (2018; Zbl 1404.92190) Full Text: DOI
Liu, Yongqi; Liu, Xuanliang Global properties and bifurcation analysis of an HIV-1 infection model with two target cells. (English) Zbl 1402.34050 Comput. Appl. Math. 37, No. 3, 3455-3472 (2018). MSC: 34C60 34D23 34D20 34C23 34C05 34K60 34K20 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Liu}, Comput. Appl. Math. 37, No. 3, 3455--3472 (2018; Zbl 1402.34050) Full Text: DOI
Britton, Tom; Ouédraogo, Désiré SEIRS epidemics with disease fatalities in growing populations. (English) Zbl 1380.92065 Math. Biosci. 296, 45-59 (2018). MSC: 92D30 92D25 PDFBibTeX XMLCite \textit{T. Britton} and \textit{D. Ouédraogo}, Math. Biosci. 296, 45--59 (2018; Zbl 1380.92065) Full Text: DOI arXiv HAL
Lu, Guichen; Lu, Zhengyi Global asymptotic stability for the SEIRS models with varying total population size. (English) Zbl 1380.92078 Math. Biosci. 296, 17-25 (2018). MSC: 92D30 34D05 PDFBibTeX XMLCite \textit{G. Lu} and \textit{Z. Lu}, Math. Biosci. 296, 17--25 (2018; Zbl 1380.92078) Full Text: DOI
Guo, Yingjia Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise. (English) Zbl 1444.92113 Adv. Difference Equ. 2017, Paper No. 375, 15 p. (2017). MSC: 92D30 92D25 60H10 PDFBibTeX XMLCite \textit{Y. Guo}, Adv. Difference Equ. 2017, Paper No. 375, 15 p. (2017; Zbl 1444.92113) Full Text: DOI
Lu, Guichen; Lu, Zhengyi Geometric approach to global asymptotic stability for the SEIRS models in epidemiology. (English) Zbl 1379.34043 Nonlinear Anal., Real World Appl. 36, 20-43 (2017). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34C60 34D23 34D20 92D30 34C45 PDFBibTeX XMLCite \textit{G. Lu} and \textit{Z. Lu}, Nonlinear Anal., Real World Appl. 36, 20--43 (2017; Zbl 1379.34043) Full Text: DOI
Zhao, Yanan; Zhang, Qiumei; Jiang, Daqing The asymptotic behavior of a stochastic SIS epidemic model with vaccination. (English) Zbl 1422.92180 Adv. Difference Equ. 2015, Paper No. 328, 20 p. (2015). MSC: 92D30 92C60 34C60 34F05 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Adv. Difference Equ. 2015, Paper No. 328, 20 p. (2015; Zbl 1422.92180) Full Text: DOI
Zhang, Tongqian; Meng, Xinzhu; Zhang, Tonghua SVEIRS: A new epidemic disease model with time delays and impulsive effects. (English) Zbl 1474.92128 Abstr. Appl. Anal. 2014, Article ID 542154, 15 p. (2014). MSC: 92D30 34K45 34K60 PDFBibTeX XMLCite \textit{T. Zhang} et al., Abstr. Appl. Anal. 2014, Article ID 542154, 15 p. (2014; Zbl 1474.92128) Full Text: DOI
Lin, Yuguo; Jiang, Daqing; Wang, Shuai Stationary distribution of a stochastic SIS epidemic model with vaccination. (English) Zbl 1395.34064 Physica A 394, 187-197 (2014). MSC: 34F05 92D30 PDFBibTeX XMLCite \textit{Y. Lin} et al., Physica A 394, 187--197 (2014; Zbl 1395.34064) Full Text: DOI
Zhao, Yanan; Jiang, Daqing; O’Regan, Donal The extinction and persistence of the stochastic SIS epidemic model with vaccination. (English) Zbl 1395.92180 Physica A 392, No. 20, 4916-4927 (2013). MSC: 92D30 34F05 60H10 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Physica A 392, No. 20, 4916--4927 (2013; Zbl 1395.92180) Full Text: DOI
Qi, Longxing; Cui, Jing-an The stability of an SEIRS model with nonlinear incidence, vertical transmission and time delay. (English) Zbl 1329.92139 Appl. Math. Comput. 221, 360-366 (2013). MSC: 92D30 34K20 PDFBibTeX XMLCite \textit{L. Qi} and \textit{J.-a. Cui}, Appl. Math. Comput. 221, 360--366 (2013; Zbl 1329.92139) Full Text: DOI
Zhao, Yanan; Jiang, Daqing Dynamics of stochastically perturbed SIS epidemic model with vaccination. (English) Zbl 1288.92027 Abstr. Appl. Anal. 2013, Article ID 517439, 12 p. (2013). MSC: 92D30 92C60 60H10 92-08 68U20 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{D. Jiang}, Abstr. Appl. Anal. 2013, Article ID 517439, 12 p. (2013; Zbl 1288.92027) Full Text: DOI
Kim, Kwang Ik; Lin, Zhigui; Zhang, Qunying An SIR epidemic model with free boundary. (English) Zbl 1310.92054 Nonlinear Anal., Real World Appl. 14, No. 5, 1992-2001 (2013). MSC: 92D30 PDFBibTeX XMLCite \textit{K. I. Kim} et al., Nonlinear Anal., Real World Appl. 14, No. 5, 1992--2001 (2013; Zbl 1310.92054) Full Text: DOI arXiv
Denphedtnong, Adisak; Chinviriyasit, Settapat; Chinviriyasit, Wirawan On the dynamics of SEIRS epidemic model with transport-related infection. (English) Zbl 1308.92098 Math. Biosci. 245, No. 2, 188-205 (2013). MSC: 92D30 PDFBibTeX XMLCite \textit{A. Denphedtnong} et al., Math. Biosci. 245, No. 2, 188--205 (2013; Zbl 1308.92098) Full Text: DOI Link
Mishra, Bimal Kumar; Singh, Aditya Kumar Two quarantine models on the attack of malicious objects in computer network. (English) Zbl 1264.68015 Math. Probl. Eng. 2012, Article ID 407064, 13 p. (2012). MSC: 68M10 34D20 PDFBibTeX XMLCite \textit{B. K. Mishra} and \textit{A. K. Singh}, Math. Probl. Eng. 2012, Article ID 407064, 13 p. (2012; Zbl 1264.68015) Full Text: DOI
Xu, Rui Global stability of a delayed epidemic model with latent period and vaccination strategy. (English) Zbl 1254.34107 Appl. Math. Modelling 36, No. 11, 5293-5300 (2012). MSC: 34K20 92D30 34D23 PDFBibTeX XMLCite \textit{R. Xu}, Appl. Math. Modelling 36, No. 11, 5293--5300 (2012; Zbl 1254.34107) Full Text: DOI
Gao, Daozhou; Ruan, Shigui An SIS patch model with variable transmission coefficients. (English) Zbl 1218.92064 Math. Biosci. 232, No. 2, 110-115 (2011). MSC: 92D30 37N25 65C40 PDFBibTeX XMLCite \textit{D. Gao} and \textit{S. Ruan}, Math. Biosci. 232, No. 2, 110--115 (2011; Zbl 1218.92064) Full Text: DOI
Hilker, Frank M. Population collapse to extinction: the catastrophic combination of parasitism and Allee effect. (English) Zbl 1315.92060 J. Biol. Dyn. 4, No. 1, 86-101 (2010). MSC: 92D25 92D30 34C23 PDFBibTeX XMLCite \textit{F. M. Hilker}, J. Biol. Dyn. 4, No. 1, 86--101 (2010; Zbl 1315.92060) Full Text: DOI
Mishra, Bimal Kumar; Jha, Navnit SEIQRS model for the transmission of malicious objects in computer network. (English) Zbl 1185.68042 Appl. Math. Modelling 34, No. 3, 710-715 (2010). MSC: 68M10 34D20 92D30 PDFBibTeX XMLCite \textit{B. K. Mishra} and \textit{N. Jha}, Appl. Math. Modelling 34, No. 3, 710--715 (2010; Zbl 1185.68042) Full Text: DOI
Enszer, Joshua A.; Stadtherr, Mark A. Verified solution method for population epidemiology models with uncertainty. (English) Zbl 1300.92098 Int. J. Appl. Math. Comput. Sci. 19, No. 3, 501-512 (2009). MSC: 92D30 93C41 93C10 93C15 PDFBibTeX XMLCite \textit{J. A. Enszer} and \textit{M. A. Stadtherr}, Int. J. Appl. Math. Comput. Sci. 19, No. 3, 501--512 (2009; Zbl 1300.92098) Full Text: DOI
Meng, Xinzhu; Jiao, Jianjun; Chen, Lansun Two profitless delays for an SEIRS epidemic disease model with vertical transmission and pulse vaccination. (English) Zbl 1198.34185 Chaos Solitons Fractals 40, No. 5, 2114-2125 (2009). MSC: 34K60 92D30 PDFBibTeX XMLCite \textit{X. Meng} et al., Chaos Solitons Fractals 40, No. 5, 2114--2125 (2009; Zbl 1198.34185) Full Text: DOI
Li, Xue-Zhi; Zhou, Lin-Lin Global stability of an SEIR epidemic model with vertical transmission and saturating contact rate. (English) Zbl 1197.34077 Chaos Solitons Fractals 40, No. 2, 874-884 (2009). MSC: 34C60 92D30 34D23 PDFBibTeX XMLCite \textit{X.-Z. Li} and \textit{L.-L. Zhou}, Chaos Solitons Fractals 40, No. 2, 874--884 (2009; Zbl 1197.34077) Full Text: DOI
Yi, Na; Zhang, Qingling; Mao, Kun; Yang, Dongmei; Li, Qin Analysis and control of an SEIR epidemic system with nonlinear transmission rate. (English) Zbl 1185.93101 Math. Comput. Modelling 50, No. 9-10, 1498-1513 (2009). MSC: 93C95 92D30 PDFBibTeX XMLCite \textit{N. Yi} et al., Math. Comput. Modelling 50, No. 9--10, 1498--1513 (2009; Zbl 1185.93101) Full Text: DOI Link
Zhang, Tailei; Teng, Zhidong Pulse vaccination delayed SEIRS epidemic model with saturation incidence. (English) Zbl 1182.92064 Appl. Math. Modelling 32, No. 7, 1403-1416 (2008). MSC: 92D30 37N25 34K45 34K60 34K13 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Z. Teng}, Appl. Math. Modelling 32, No. 7, 1403--1416 (2008; Zbl 1182.92064) Full Text: DOI
Zhao, Zhong; Chen, Lansun; Song, Xinyu Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate. (English) Zbl 1151.92030 Math. Comput. Simul. 79, No. 3, 500-510 (2008). MSC: 92D30 34K45 34A37 34K13 37N25 34C25 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Math. Comput. Simul. 79, No. 3, 500--510 (2008; Zbl 1151.92030) Full Text: DOI
Kim, Kwang Ik; Lin, Zhigui Asymptotic behavior of an SEI epidemic model with diffusion. (English) Zbl 1145.35400 Math. Comput. Modelling 47, No. 11-12, 1314-1322 (2008). MSC: 35K57 35B40 35K50 92D30 PDFBibTeX XMLCite \textit{K. I. Kim} and \textit{Z. Lin}, Math. Comput. Modelling 47, No. 11--12, 1314--1322 (2008; Zbl 1145.35400) Full Text: DOI
Sun, Chengjun; Lin, Yiping; Tang, Shoupeng Global stability for an special SEIR epidemic model with nonlinear incidence rates. (English) Zbl 1152.34357 Chaos Solitons Fractals 33, No. 1, 290-297 (2007). MSC: 34D23 92D30 PDFBibTeX XMLCite \textit{C. Sun} et al., Chaos Solitons Fractals 33, No. 1, 290--297 (2007; Zbl 1152.34357) Full Text: DOI
Meng, Xin-Zhu; Chen, Lan-Sun; Song, Zhi-Tao Global dynamics behaviors for new delay SEIR epidemic disease model with vertical transmission and pulse vaccination. (English) Zbl 1231.92057 Appl. Math. Mech., Engl. Ed. 28, No. 9, 1259-1271 (2007). MSC: 92D30 34K45 34K13 PDFBibTeX XMLCite \textit{X.-Z. Meng} et al., Appl. Math. Mech., Engl. Ed. 28, No. 9, 1259--1271 (2007; Zbl 1231.92057) Full Text: DOI
Meng, Xinzhu; Chen, Lansun; Cheng, Huidong Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination. (English) Zbl 1111.92049 Appl. Math. Comput. 186, No. 1, 516-529 (2007). MSC: 92D30 34C25 34A37 34K60 37N25 65L99 PDFBibTeX XMLCite \textit{X. Meng} et al., Appl. Math. Comput. 186, No. 1, 516--529 (2007; Zbl 1111.92049) Full Text: DOI
Li, Guihua; Wang, Wendi; Jin, Zhen Global stability of an SEIR epidemic model with constant immigration. (English) Zbl 1142.34352 Chaos Solitons Fractals 30, No. 4, 1012-1019 (2006). MSC: 34D23 92D30 PDFBibTeX XMLCite \textit{G. Li} et al., Chaos Solitons Fractals 30, No. 4, 1012--1019 (2006; Zbl 1142.34352) Full Text: DOI
Chen, Junjie; Liu, Xiangguan Stability of an SEIS epidemic model with constant recruitment and a varying total population size. (English) Zbl 1087.92052 Appl. Math., Ser. B (Engl. Ed.) 21, No. 1, 1-8 (2006). MSC: 92D30 34D23 34D20 PDFBibTeX XMLCite \textit{J. Chen} and \textit{X. Liu}, Appl. Math., Ser. B (Engl. Ed.) 21, No. 1, 1--8 (2006; Zbl 1087.92052) Full Text: DOI
Li, Guihua; Jin, Zhen Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period. (English) Zbl 1065.92046 Chaos Solitons Fractals 25, No. 5, 1177-1184 (2005). MSC: 92D30 34D23 34D05 PDFBibTeX XMLCite \textit{G. Li} and \textit{Z. Jin}, Chaos Solitons Fractals 25, No. 5, 1177--1184 (2005; Zbl 1065.92046) Full Text: DOI
Greenhalgh, D.; Khan, Q. J. A.; Lewis, F. I. Hopf bifurcation in two SIRS density dependent epidemic models. (English) Zbl 1065.92042 Math. Comput. Modelling 39, No. 11-12, 1261-1283 (2004). MSC: 92D30 34K18 34K20 65C20 PDFBibTeX XMLCite \textit{D. Greenhalgh} et al., Math. Comput. Modelling 39, No. 11--12, 1261--1283 (2004; Zbl 1065.92042) Full Text: DOI
Li, Jianquan; Ma, Zhien Global analysis of SIS epidemic models with variable total population size. (English) Zbl 1065.92047 Math. Comput. Modelling 39, No. 11-12, 1231-1242 (2004). MSC: 92D30 34K25 34D05 34K20 34D23 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Ma}, Math. Comput. Modelling 39, No. 11--12, 1231--1242 (2004; Zbl 1065.92047) Full Text: DOI
Chen, Junjie An SIRS epidemic model. (English) Zbl 1042.92027 Appl. Math., Ser. B (Engl. Ed.) 19, No. 1, 101-108 (2004). MSC: 92D30 34D23 34D05 34D20 PDFBibTeX XMLCite \textit{J. Chen}, Appl. Math., Ser. B (Engl. Ed.) 19, No. 1, 101--108 (2004; Zbl 1042.92027) Full Text: DOI
Zhang, Juan; Ma, Zhien Global dynamics of an SEIR epidemic model with saturating contact rate. (English) Zbl 1021.92040 Math. Biosci. 185, No. 1, 15-32 (2003). MSC: 92D30 34D23 34D05 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Z. Ma}, Math. Biosci. 185, No. 1, 15--32 (2003; Zbl 1021.92040) Full Text: DOI
Li, Jianquan; Ma, Zhien Qualitative analyses of SIS epidemic model with vaccination and varying total population size. (English) Zbl 1045.92039 Math. Comput. Modelling 35, No. 11-12, 1235-1243 (2002). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Ma}, Math. Comput. Modelling 35, No. 11--12, 1235--1243 (2002; Zbl 1045.92039) Full Text: DOI
Fan, Meng; Li, Michael Y.; Wang, Ke Global stability of an SEIS epidemic model with recruitment and a varying total population size. (English) Zbl 1005.92030 Math. Biosci. 170, No. 2, 199-208 (2001). MSC: 92D30 34D23 34D20 PDFBibTeX XMLCite \textit{M. Fan} et al., Math. Biosci. 170, No. 2, 199--208 (2001; Zbl 1005.92030) Full Text: DOI
Li, Michael Y.; Muldowney, James S. Dynamics of differential equations on invariant manifolds. (English) Zbl 0983.34033 J. Differ. Equations 168, No. 2, 295-320 (2000). Reviewer: P.Smith (Keele) MSC: 34C30 34C45 34C60 34D05 92D30 PDFBibTeX XMLCite \textit{M. Y. Li} and \textit{J. S. Muldowney}, J. Differ. Equations 168, No. 2, 295--320 (2000; Zbl 0983.34033) Full Text: DOI
Ngwa, G. A.; Shu, W. S. A mathematical model for endemic malaria with variable human and mosquito populations. (English) Zbl 0998.92035 Math. Comput. Modelling 32, No. 7-8, 747-763 (2000). MSC: 92D30 92C60 34C60 34D23 PDFBibTeX XMLCite \textit{G. A. Ngwa} and \textit{W. S. Shu}, Math. Comput. Modelling 32, No. 7--8, 747--763 (2000; Zbl 0998.92035) Full Text: DOI
Li, Michael Y.; Graef, John R.; Wang, Liancheng; Karsai, János Global dynamics of a SEIR model with varying total population size. (English) Zbl 0974.92029 Math. Biosci. 160, No. 2, 191-213 (1999). MSC: 92D30 34D23 37N25 PDFBibTeX XMLCite \textit{M. Y. Li} et al., Math. Biosci. 160, No. 2, 191--213 (1999; Zbl 0974.92029) Full Text: DOI
Greenhalgh, David Control of an epidemic spreading in a heterogeneously mixing population. (English) Zbl 0593.92017 Math. Biosci. 80, 23-45 (1986). MSC: 92D25 49L20 PDFBibTeX XMLCite \textit{D. Greenhalgh}, Math. Biosci. 80, 23--45 (1986; Zbl 0593.92017) Full Text: DOI