Liu, Guodong; Wang, Hao; Zhang, Xiaoyan On cognitive epidemic models: spatial segregation versus nonpharmaceutical interventions. (English) Zbl 07813261 J. Math. Biol. 88, No. 3, Paper No. 31, 41 p. (2024). MSC: 92D30 35K57 35Q84 45K05 PDFBibTeX XMLCite \textit{G. Liu} et al., J. Math. Biol. 88, No. 3, Paper No. 31, 41 p. (2024; Zbl 07813261) Full Text: DOI
Hamaya, Yoshihiro; Saito, Kaori Global attractivity of a delayed SEIR epidemic model of Covid-19 with diffusion. (English) Zbl 07798257 J. Math. Sci., New York 271, No. 3, Series A, 378-399 (2023). MSC: 92D30 35B35 35K57 PDFBibTeX XMLCite \textit{Y. Hamaya} and \textit{K. Saito}, J. Math. Sci., New York 271, No. 3, 378--399 (2023; Zbl 07798257) Full Text: DOI
Kumar, Pushpendra; Suat Erturk, Vedat The analysis of a time delay fractional COVID-19 model via Caputo type fractional derivative. (English) Zbl 07782443 Math. Methods Appl. Sci. 46, No. 7, 7618-7631 (2023). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 92D30 34K37 PDFBibTeX XMLCite \textit{P. Kumar} and \textit{V. Suat Erturk}, Math. Methods Appl. Sci. 46, No. 7, 7618--7631 (2023; Zbl 07782443) Full Text: DOI
Singh, Abhishek Kumar; Mehra, Mani; Gulyani, Samarth Learning parameters of a system of variable order fractional differential equations. (English) Zbl 07776993 Numer. Methods Partial Differ. Equations 39, No. 3, 1962-1976 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. K. Singh} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 1962--1976 (2023; Zbl 07776993) Full Text: DOI
Ball, Frank; Critcher, Liam; Neal, Peter; Sirl, David The impact of household structure on disease-induced herd immunity. (English) Zbl 07770166 J. Math. Biol. 87, No. 6, Paper No. 83, 47 p. (2023). MSC: 92D30 92C60 PDFBibTeX XMLCite \textit{F. Ball} et al., J. Math. Biol. 87, No. 6, Paper No. 83, 47 p. (2023; Zbl 07770166) Full Text: DOI OA License
Yagasaki, Kazuyuki Nonintegrability of the SEIR epidemic model. (English) Zbl 1519.92323 Physica D 453, Article ID 133820, 10 p. (2023). MSC: 92D30 34M15 12H05 33B20 PDFBibTeX XMLCite \textit{K. Yagasaki}, Physica D 453, Article ID 133820, 10 p. (2023; Zbl 1519.92323) Full Text: DOI arXiv
Wang, Qi; Xiang, Kainan; Zhu, Chunhui; Zou, Lang Stochastic SEIR epidemic models with virus mutation and logistic growth of susceptible populations. (English) Zbl 07704436 Math. Comput. Simul. 212, 289-309 (2023). MSC: 92-10 92D30 PDFBibTeX XMLCite \textit{Q. Wang} et al., Math. Comput. Simul. 212, 289--309 (2023; Zbl 07704436) Full Text: DOI
Yoshida, Norio Existence of exact solution of the susceptible-exposed-infectious-recovered (SEIR) epidemic model. (English) Zbl 1516.34083 J. Differ. Equations 355, 103-143 (2023). MSC: 34C60 92D30 34A05 34A12 34D05 34B30 PDFBibTeX XMLCite \textit{N. Yoshida}, J. Differ. Equations 355, 103--143 (2023; Zbl 1516.34083) Full Text: DOI arXiv
Wang, Zong; Zhang, Qimin Near-optimal control of a stochastic partial differential equation SEIR epidemic model under economic constraints. (English) Zbl 1507.92124 Eur. J. Control 69, Article ID 100752, 16 p. (2023). MSC: 92D30 92C60 60H15 49K20 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{Q. Zhang}, Eur. J. Control 69, Article ID 100752, 16 p. (2023; Zbl 1507.92124) Full Text: DOI
Yang, Qian; Huo, Hai-Feng; Xiang, Hong Analysis of an edge-based SEIR epidemic model with sexual and non-sexual transmission routes. (English) Zbl 07642784 Physica A 609, Article ID 128340, 21 p. (2023). MSC: 82-XX PDFBibTeX XMLCite \textit{Q. Yang} et al., Physica A 609, Article ID 128340, 21 p. (2023; Zbl 07642784) Full Text: DOI
Zhang, Ran; Yu, Xiaoqing Traveling waves for a four-compartment lattice epidemic system with exposed class and standard incidence. (English) Zbl 07767983 Math. Methods Appl. Sci. 45, No. 1, 113-136 (2022). MSC: 92D30 35C07 35K57 PDFBibTeX XMLCite \textit{R. Zhang} and \textit{X. Yu}, Math. Methods Appl. Sci. 45, No. 1, 113--136 (2022; Zbl 07767983) Full Text: DOI
Xu, Chuanqing; Huang, Xiaotong; Zhang, Zonghao; Cui, Jing’an A kinetic model considering the decline of antibody level and simulation about vaccination effect of COVID-19. (English) Zbl 1511.92040 Math. Biosci. Eng. 19, No. 12, 12558-12580 (2022). MSC: 92C60 PDFBibTeX XMLCite \textit{C. Xu} et al., Math. Biosci. Eng. 19, No. 12, 12558--12580 (2022; Zbl 1511.92040) Full Text: DOI
Shangguan, Dongchen; Liu, Zhijun; Wang, Lianwen; Tan, Ronghua Periodicity and stationary distribution of two novel stochastic epidemic models with infectivity in the latent period and household quarantine. (English) Zbl 1500.92117 J. Appl. Math. Comput. 68, No. 4, 2551-2570 (2022). MSC: 92D30 60H10 PDFBibTeX XMLCite \textit{D. Shangguan} et al., J. Appl. Math. Comput. 68, No. 4, 2551--2570 (2022; Zbl 1500.92117) Full Text: DOI
Meng, Lan; Zhu, Wei Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies. (English) Zbl 1527.92060 Math. Comput. Simul. 200, 489-503 (2022). MSC: 92D30 PDFBibTeX XMLCite \textit{L. Meng} and \textit{W. Zhu}, Math. Comput. Simul. 200, 489--503 (2022; Zbl 1527.92060) Full Text: DOI
Xie, Boli; Liu, Maoxing; Zhang, Lei Bifurcation analysis and optimal control of SEIR epidemic model with saturated treatment function on the network. (English) Zbl 1489.92186 Math. Biosci. Eng. 19, No. 2, 1677-1696 (2022). MSC: 92D30 49J15 49J20 34C23 35B32 PDFBibTeX XMLCite \textit{B. Xie} et al., Math. Biosci. Eng. 19, No. 2, 1677--1696 (2022; Zbl 1489.92186) Full Text: DOI
Naik, Parvaiz Ahmad; Ghoreishi, Mohammad; Zu, Jian Approximate solution of a nonlinear fractional-order HIV model using homotopy analysis method. (English) Zbl 1513.92083 Int. J. Numer. Anal. Model. 19, No. 1, 52-84 (2022). MSC: 92D30 26A33 34D20 PDFBibTeX XMLCite \textit{P. A. Naik} et al., Int. J. Numer. Anal. Model. 19, No. 1, 52--84 (2022; Zbl 1513.92083) Full Text: Link
Huang, Jicai; Kang, Hao; Lu, Min; Ruan, Shigui; Zhuo, Wenting Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate. (English) Zbl 1486.92233 Nonlinear Anal., Real World Appl. 66, Article ID 103525, 21 p. (2022). MSC: 92D30 92C60 35B35 PDFBibTeX XMLCite \textit{J. Huang} et al., Nonlinear Anal., Real World Appl. 66, Article ID 103525, 21 p. (2022; Zbl 1486.92233) Full Text: DOI
Grimm, Viktor; Heinlein, Alexander; Klawonn, Axel; Lanser, Martin; Weber, Janine Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks. (English) Zbl 1478.92193 ETNA, Electron. Trans. Numer. Anal. 56, 1-27 (2022). MSC: 92D30 92-08 65L09 68T07 68T09 PDFBibTeX XMLCite \textit{V. Grimm} et al., ETNA, Electron. Trans. Numer. Anal. 56, 1--27 (2022; Zbl 1478.92193) Full Text: DOI Link
Shao, Qi; Han, Dun Epidemic spreading in metapopulation networks with heterogeneous mobility rates. (English) Zbl 1510.92238 Appl. Math. Comput. 412, Article ID 126559, 9 p. (2022). MSC: 92D30 60J20 PDFBibTeX XMLCite \textit{Q. Shao} and \textit{D. Han}, Appl. Math. Comput. 412, Article ID 126559, 9 p. (2022; Zbl 1510.92238) Full Text: DOI
Naim, Mouhcine; Lahmidi, Fouad; Namir, Abdelwahed; Kouidere, Abdelfatah Dynamics of an fractional SEIR epidemic model with infectivity in latent period and general nonlinear incidence rate. (English) Zbl 1493.92079 Chaos Solitons Fractals 152, Article ID 111456, 10 p. (2021). MSC: 92D30 34A08 37M05 37N25 93D20 PDFBibTeX XMLCite \textit{M. Naim} et al., Chaos Solitons Fractals 152, Article ID 111456, 10 p. (2021; Zbl 1493.92079) Full Text: DOI
De la Sen, M.; Ibeas, A. On an SE(Is)(Ih)AR epidemic model with combined vaccination and antiviral controls for COVID-19 pandemic. (English) Zbl 1494.92126 Adv. Difference Equ. 2021, Paper No. 92, 30 p. (2021). MSC: 92D30 92C60 34C60 37N25 34D23 PDFBibTeX XMLCite \textit{M. De la Sen} and \textit{A. Ibeas}, Adv. Difference Equ. 2021, Paper No. 92, 30 p. (2021; Zbl 1494.92126) Full Text: DOI
Alla Hamou, Abdelouahed; Azroul, Elhoussine; Lamrani Alaoui, Abdelilah Fractional model and numerical algorithms for predicting COVID-19 with isolation and quarantine strategies. (English) Zbl 1499.92001 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 142, 30 p. (2021). MSC: 92-08 34A08 92D30 PDFBibTeX XMLCite \textit{A. Alla Hamou} et al., Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 142, 30 p. (2021; Zbl 1499.92001) Full Text: DOI
Li, Yan; Zhang, Xinyu; Cao, Han Large time behavior in a diffusive SEIR epidemic model with general incidence. (English) Zbl 1482.92105 Appl. Math. Lett. 120, Article ID 107322, 7 p. (2021). Reviewer: Smail Djebali (Algiers) MSC: 92D30 34D23 35Q92 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Lett. 120, Article ID 107322, 7 p. (2021; Zbl 1482.92105) Full Text: DOI
Hamou, A. Alla; Azroul, E.; Hammouch, Z.; Alaoui, A. L. A fractional multi-order model to predict the COVID-19 outbreak in Morocco. (English) Zbl 07394229 Appl. Comput. Math. 20, No. 1, 177-203 (2021). MSC: 65D05 65R20 26A33 93E24 PDFBibTeX XMLCite \textit{A. A. Hamou} et al., Appl. Comput. Math. 20, No. 1, 177--203 (2021; Zbl 07394229) Full Text: Link
Blyuss, K. B.; Kyrychko, Y. N. Effects of latency and age structure on the dynamics and containment of COVID-19. (English) Zbl 1460.92188 J. Theor. Biol. 513, Article ID 110587, 10 p. (2021). MSC: 92D30 91D20 PDFBibTeX XMLCite \textit{K. B. Blyuss} and \textit{Y. N. Kyrychko}, J. Theor. Biol. 513, Article ID 110587, 10 p. (2021; Zbl 1460.92188) Full Text: DOI
Xu, Conghui; Yu, Yongguang; Chen, YangQuan; Lu, Zhenzhen Forecast analysis of the epidemics trend of COVID-19 in the USA by a generalized fractional-order SEIR model. (English) Zbl 1517.92046 Nonlinear Dyn. 101, No. 3, 1621-1634 (2020). MSC: 92D30 34A08 PDFBibTeX XMLCite \textit{C. Xu} et al., Nonlinear Dyn. 101, No. 3, 1621--1634 (2020; Zbl 1517.92046) Full Text: DOI
Khyar, Omar; Allali, Karam Global dynamics of a multi-strain SEIR epidemic model with general incidence rates: application to COVID-19 pandemic. (English) Zbl 1517.92034 Nonlinear Dyn. 102, No. 1, 489-509 (2020). MSC: 92D30 34D23 93C15 PDFBibTeX XMLCite \textit{O. Khyar} and \textit{K. Allali}, Nonlinear Dyn. 102, No. 1, 489--509 (2020; Zbl 1517.92034) Full Text: DOI
Turinici, Gabriel Architectures of epidemic models: accommodating constraints from empirical and clinical data. (English) Zbl 1513.92090 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 66, No. 2, 161-169 (2020). MSC: 92D30 92C60 PDFBibTeX XMLCite \textit{G. Turinici}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 66, No. 2, 161--169 (2020; Zbl 1513.92090) Full Text: arXiv
Naik, Parvaiz Ahmad; Zu, Jian; Owolabi, Kolade M. Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control. (English) Zbl 1490.37112 Chaos Solitons Fractals 138, Article ID 109826, 24 p. (2020). MSC: 37N25 92D30 26A33 34A08 PDFBibTeX XMLCite \textit{P. A. Naik} et al., Chaos Solitons Fractals 138, Article ID 109826, 24 p. (2020; Zbl 1490.37112) Full Text: DOI
Huang, Senzhong; Peng, Zhihang; Jin, Zhen Studies of the strategies for controlling the COVID-19 epidemic in China: estimation of control efficacy and suggestions for policy makers. (Chinese. English summary) Zbl 1499.92111 Sci. Sin., Math. 50, No. 6, 885-898 (2020). MSC: 92D30 PDFBibTeX XMLCite \textit{S. Huang} et al., Sci. Sin., Math. 50, No. 6, 885--898 (2020; Zbl 1499.92111) Full Text: DOI
Chen, Lijun; Wei, Fengying Study on a susceptible-exposed-infected-recovered model with nonlinear incidence rate. (English) Zbl 1482.92090 Adv. Difference Equ. 2020, Paper No. 206, 21 p. (2020). MSC: 92D30 60H10 92C60 34F05 34C60 PDFBibTeX XMLCite \textit{L. Chen} and \textit{F. Wei}, Adv. Difference Equ. 2020, Paper No. 206, 21 p. (2020; Zbl 1482.92090) Full Text: DOI
Huo, Hai-Feng; Yang, Qian; Xiang, Hong Dynamics of an edge-based SEIR model for sexually transmitted diseases. (English) Zbl 1470.92305 Math. Biosci. Eng. 17, No. 1, 669-699 (2020). MSC: 92D30 PDFBibTeX XMLCite \textit{H.-F. Huo} et al., Math. Biosci. Eng. 17, No. 1, 669--699 (2020; Zbl 1470.92305) Full Text: DOI
Elie, Romuald; Hubert, Emma; Turinici, Gabriel Contact rate epidemic control of COVID-19: an equilibrium view. (English) Zbl 1467.92193 Math. Model. Nat. Phenom. 15, Paper No. 35, 25 p. (2020). MSC: 92D30 91A16 91A80 49N80 PDFBibTeX XMLCite \textit{R. Elie} et al., Math. Model. Nat. Phenom. 15, Paper No. 35, 25 p. (2020; Zbl 1467.92193) Full Text: DOI arXiv
Yu, Liqi; Wang, Qiang; Gao, Hengsong; Gu, Zhen; He, Shuli; Hong, Gang Hopf bifurcation analysis in an SEIR epidemic model with two delays. (Chinese. English summary) Zbl 1474.34590 Math. Pract. Theory 50, No. 21, 305-313 (2020). MSC: 34K60 34K18 34K20 92D30 34K13 34K21 PDFBibTeX XMLCite \textit{L. Yu} et al., Math. Pract. Theory 50, No. 21, 305--313 (2020; Zbl 1474.34590)
Chatterjee, Soumyadeep; Asad, Ali; Shayak, B.; Bhattacharya, Shashwat; Alam, Shadab; Verma, Mahendra K. Evolution of COVID-19 pandemic: power-law growth and saturation. (English) Zbl 1462.62653 J. Indian Stat. Assoc. 58, No. 1, 1-31 (2020). MSC: 62P10 92D30 PDFBibTeX XMLCite \textit{S. Chatterjee} et al., J. Indian Stat. Assoc. 58, No. 1, 1--31 (2020; Zbl 1462.62653) Full Text: Link
Li, Weiwei; Du, Rong; Chen, Shudong; Sun, Shuang Analysis of transmission characteristics of COVID-19 and prediction of the development trend of epidemic situation. (Chinese. English summary) Zbl 1474.92114 J. Xiamen Univ., Nat. Sci. 59, No. 6, 1025-1033 (2020). MSC: 92D30 62M20 PDFBibTeX XMLCite \textit{W. Li} et al., J. Xiamen Univ., Nat. Sci. 59, No. 6, 1025--1033 (2020; Zbl 1474.92114) Full Text: DOI
Kang, Hao; Huang, Qimin; Ruan, Shigui Periodic solutions of an age-structured epidemic model with periodic infection rate. (English) Zbl 1460.35353 Commun. Pure Appl. Anal. 19, No. 10, 4955-4972 (2020). MSC: 35Q92 35C15 92D30 35B10 35A01 35A02 PDFBibTeX XMLCite \textit{H. Kang} et al., Commun. Pure Appl. Anal. 19, No. 10, 4955--4972 (2020; Zbl 1460.35353) Full Text: DOI
Abta, Abdelhadi; Boutayeb, Salahaddine; Laarabi, Hassan; Rachik, Mostafa; Alaoui, Hamad Talibi Stability analysis of a delayed SIR epidemic model with diffusion and saturated incidence rate. (English) Zbl 1454.35391 SN Partial Differ. Equ. Appl. 1, No. 4, Paper No. 13, 25 p. (2020). MSC: 35Q92 92D30 35B09 35B40 35B35 35R07 34K20 34K05 34K25 34B60 PDFBibTeX XMLCite \textit{A. Abta} et al., SN Partial Differ. Equ. Appl. 1, No. 4, Paper No. 13, 25 p. (2020; Zbl 1454.35391) Full Text: DOI
Jiao, Jianjun; Liu, Zuozhi; Cai, Shaohong Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible. (English) Zbl 1444.92115 Appl. Math. Lett. 107, Article ID 106442, 6 p. (2020). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{J. Jiao} et al., Appl. Math. Lett. 107, Article ID 106442, 6 p. (2020; Zbl 1444.92115) Full Text: DOI Link
Wang, Xinwei; Peng, Haijun; Shi, Boyang; Jiang, Dianheng; Zhang, Sheng; Chen, Biaosong Optimal vaccination strategy of a constrained time-varying SEIR epidemic model. (English) Zbl 1508.92306 Commun. Nonlinear Sci. Numer. Simul. 67, 37-48 (2019). MSC: 92D30 49N90 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 67, 37--48 (2019; Zbl 1508.92306) Full Text: DOI
Han, Shuyu; Lei, Chengxia Global stability of equilibria of a diffusive SEIR epidemic model with nonlinear incidence. (English) Zbl 1423.92229 Appl. Math. Lett. 98, 114-120 (2019). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{S. Han} and \textit{C. Lei}, Appl. Math. Lett. 98, 114--120 (2019; Zbl 1423.92229) Full Text: DOI
Khan, Muhammad Altaf; Khan, Yasir; Islam, Saeed Complex dynamics of an SEIR epidemic model with saturated incidence rate and treatment. (English) Zbl 1503.92066 Physica A 493, 210-227 (2018). MSC: 92D30 92C60 34C23 34D23 49J15 PDFBibTeX XMLCite \textit{M. A. Khan} et al., Physica A 493, 210--227 (2018; Zbl 1503.92066) Full Text: DOI
Dantas, Eber; Tosin, Michel; Cunha, Americo jun. Calibration of a SEIR-SEI epidemic model to describe the zika virus outbreak in Brazil. (English) Zbl 1427.92086 Appl. Math. Comput. 338, 249-259 (2018). MSC: 92D30 PDFBibTeX XMLCite \textit{E. Dantas} et al., Appl. Math. Comput. 338, 249--259 (2018; Zbl 1427.92086) Full Text: DOI arXiv
Sirijampa, Aekabut; Chinviriyasit, Settapat; Chinviriyasit, Wirawan Hopf bifurcation analysis of a delayed SEIR epidemic model with infectious force in latent and infected period. (English) Zbl 1448.92341 Adv. Difference Equ. 2018, Paper No. 348, 24 p. (2018). MSC: 92D30 34K60 34K20 34K18 34K13 PDFBibTeX XMLCite \textit{A. Sirijampa} et al., Adv. Difference Equ. 2018, Paper No. 348, 24 p. (2018; Zbl 1448.92341) Full Text: DOI
Grigorieva, Ellina; Khailov, Evgenii Determination of the optimal controls for an ebola epidemic model. (English) Zbl 1407.49061 Discrete Contin. Dyn. Syst., Ser. S 11, No. 6, 1071-1101 (2018). MSC: 49N90 49K15 92C60 90C90 93C95 49S05 PDFBibTeX XMLCite \textit{E. Grigorieva} and \textit{E. Khailov}, Discrete Contin. Dyn. Syst., Ser. S 11, No. 6, 1071--1101 (2018; Zbl 1407.49061) Full Text: DOI
Mohammed, Maha A.; Noor, N. F. M.; Ibrahim, A. I. N.; Siri, Z. A non-conventional hybrid numerical approach with multi-dimensional random sampling for cocaine abuse in Spain. (English) Zbl 1405.92263 Int. J. Biomath. 11, No. 8, Article ID 1850110, 17 p. (2018). MSC: 92D30 62P10 65L12 PDFBibTeX XMLCite \textit{M. A. Mohammed} et al., Int. J. Biomath. 11, No. 8, Article ID 1850110, 17 p. (2018; Zbl 1405.92263) Full Text: DOI
Wang, J.; Guo, M.; Kuniya, T. Mathematical analysis for a multi-group SEIR epidemic model with age-dependent relapse. (English) Zbl 1394.35522 Appl. Anal. 97, No. 10, 1751-1770 (2018). MSC: 35Q92 37N25 92D30 35B40 35B41 35B35 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Anal. 97, No. 10, 1751--1770 (2018; Zbl 1394.35522) Full Text: DOI
Liu, Qun; Jiang, Daqing; Shi, Ningzhong; Hayat, Tasawar; Ahmad, Bashir Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence. (English) Zbl 1495.92090 Physica A 476, 58-69 (2017). MSC: 92D30 60H10 PDFBibTeX XMLCite \textit{Q. Liu} et al., Physica A 476, 58--69 (2017; Zbl 1495.92090) Full Text: DOI
Kaddar, Abdelilah; Elkhaiar, Soufiane; Eladnani, Fatiha Global stability analysis of an SEIR epidemic model with vertical transmission. (English) Zbl 1442.37098 Int. J. Dyn. Syst. Differ. Equ. 7, No. 3, 217-228 (2017). MSC: 37N25 34D23 92D30 PDFBibTeX XMLCite \textit{A. Kaddar} et al., Int. J. Dyn. Syst. Differ. Equ. 7, No. 3, 217--228 (2017; Zbl 1442.37098) Full Text: DOI
Bernoussi, Amine; Kaddar, Abdelilah; Asserda, Said On the dynamics of an SEIR epidemic model. (English) Zbl 1449.92042 Adv. Model. Optim. 19, No. 2, 327-338 (2017). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{A. Bernoussi} et al., Adv. Model. Optim. 19, No. 2, 327--338 (2017; Zbl 1449.92042) Full Text: Link
Nokkaew, Artorn; Modchang, Charin; Amornsamankul, Somkid; Lenbury, Yongwimon; Pimpunchat, Busayamas; Triampo, Wannapong Mathematical modeling of infectious disease transmission in macroalgae. (English) Zbl 1444.37079 Adv. Difference Equ. 2017, Paper No. 288, 8 p. (2017). MSC: 37N25 92D40 92D30 PDFBibTeX XMLCite \textit{A. Nokkaew} et al., Adv. Difference Equ. 2017, Paper No. 288, 8 p. (2017; Zbl 1444.37079) Full Text: DOI
Du, Yanfei; Guo, Yuxiao; Xiao, Peng Freely-moving delay induces periodic oscillations in a structured seir model. (English) Zbl 1377.34103 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 8, Article ID 1750122, 15 p. (2017). MSC: 34K60 92D30 34K20 34K21 34K13 34K18 PDFBibTeX XMLCite \textit{Y. Du} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 8, Article ID 1750122, 15 p. (2017; Zbl 1377.34103) Full Text: DOI
Lopez-Herrero, Mariajesus Epidemic transmission on SEIR stochastic models with nonlinear incidence rate. (English) Zbl 1362.92079 Math. Methods Appl. Sci. 40, No. 7, 2532-2541 (2017). MSC: 92D30 60J22 PDFBibTeX XMLCite \textit{M. Lopez-Herrero}, Math. Methods Appl. Sci. 40, No. 7, 2532--2541 (2017; Zbl 1362.92079) Full Text: DOI
Liu, Qun; Jiang, Daqing; Shi, Ningzhong; Hayat, Tasawar; Alsaedi, Ahmed Stationarity and periodicity of positive solutions to stochastic SEIR epidemic models with distributed delay. (English) Zbl 1360.92104 Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2479-2500 (2017). MSC: 92D30 34E10 60H10 PDFBibTeX XMLCite \textit{Q. Liu} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2479--2500 (2017; Zbl 1360.92104) Full Text: DOI
Grigorieva, Ellina; Khailov, Evgenii Optimal preventive strategies for SEIR type model of the 2014 Ebola epidemics. (English) Zbl 1366.92121 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 24, No. 3, 155-182 (2017). MSC: 92D30 90C90 PDFBibTeX XMLCite \textit{E. Grigorieva} and \textit{E. Khailov}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 24, No. 3, 155--182 (2017; Zbl 1366.92121) Full Text: Link
Khalili, Amirabadi R.; Heydary, A.; Zarrabi, M. R. Analysis and control of SEIR epidemic model via sliding mode control. (English) Zbl 1413.92038 Adv. Model. Optim. 18, No. 1, 153-162 (2016). MSC: 92D30 93B12 PDFBibTeX XMLCite \textit{A. R. Khalili} et al., Adv. Model. Optim. 18, No. 1, 153--162 (2016; Zbl 1413.92038) Full Text: Link
Liu, Qun; Jiang, Daqing; Shi, Ningzhong; Hayat, Tasawar; Alsaedi, Ahmed Asymptotic behavior of a stochastic delayed SEIR epidemic model with nonlinear incidence. (English) Zbl 1400.34097 Physica A 462, 870-882 (2016). MSC: 34F05 92D30 PDFBibTeX XMLCite \textit{Q. Liu} et al., Physica A 462, 870--882 (2016; Zbl 1400.34097) Full Text: DOI
Du, Wenju; Qin, Shuang; Zhang, Jiangang; Yu, Jianning An analysis of Neimark-Sacker bifurcation for a discrete SEIR epidemic model with infectious force in latent period. (Chinese. English summary) Zbl 1399.39032 J. Jinan Univ., Nat. Sci. Med. Ed. 37, No. 6, 518-524 (2016). MSC: 39A60 37N25 92D25 39A28 65L07 65L12 PDFBibTeX XMLCite \textit{W. Du} et al., J. Jinan Univ., Nat. Sci. Med. Ed. 37, No. 6, 518--524 (2016; Zbl 1399.39032)
Sirijampa, A.; Chinviriyasit, S. Global dynamics and sensitivity analysis of SEIR model with infectious force in latent and infectious periods. (English) Zbl 1360.92116 Far East J. Math. Sci. (FJMS) 100, No. 8, 1169-1194 (2016). MSC: 92D30 PDFBibTeX XMLCite \textit{A. Sirijampa} and \textit{S. Chinviriyasit}, Far East J. Math. Sci. (FJMS) 100, No. 8, 1169--1194 (2016; Zbl 1360.92116) Full Text: DOI Link
Xu, Zhiting Traveling waves in an SEIR epidemic model with the variable total population. (English) Zbl 1352.35211 Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3723-3742 (2016). MSC: 35Q92 35C07 92D30 35K57 PDFBibTeX XMLCite \textit{Z. Xu}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3723--3742 (2016; Zbl 1352.35211) Full Text: DOI
Wang, Li; Zhang, Hui An SEIR epidemic model with time delay and impulse vaccination. (Chinese. English summary) Zbl 1363.92059 Math. Pract. Theory 46, No. 5, 210-214 (2016). MSC: 92D30 34K13 34D45 PDFBibTeX XMLCite \textit{L. Wang} and \textit{H. Zhang}, Math. Pract. Theory 46, No. 5, 210--214 (2016; Zbl 1363.92059)
Tao, Long; Cao, Lei; Zhou, Wen; Zhang, Daoxiang Hopf bifurcation of a class of delayed epidemic model. (Chinese. English summary) Zbl 1363.34298 J. Hangzhou Norm. Univ., Nat. Sci. 15, No. 1, 81-87 (2016). MSC: 34K60 34K17 34K19 34K18 34K20 92D30 PDFBibTeX XMLCite \textit{L. Tao} et al., J. Hangzhou Norm. Univ., Nat. Sci. 15, No. 1, 81--87 (2016; Zbl 1363.34298) Full Text: DOI
Wang, Lili; Xu, Rui Global stability of an SEIR epidemic model with vaccination. (English) Zbl 1347.34121 Int. J. Biomath. 9, No. 6, Article ID 1650082, 23 p. (2016). MSC: 34K60 34K20 92D30 34K45 34K25 PDFBibTeX XMLCite \textit{L. Wang} and \textit{R. Xu}, Int. J. Biomath. 9, No. 6, Article ID 1650082, 23 p. (2016; Zbl 1347.34121) Full Text: DOI
Brown, Grant D.; Oleson, Jacob J.; Porter, Aaron T. An empirically adjusted approach to reproductive number estimation for stochastic compartmental models: a case study of two ebola outbreaks. (English) Zbl 1418.92160 Biometrics 72, No. 2, 335-343 (2016). MSC: 92D30 62P10 PDFBibTeX XMLCite \textit{G. D. Brown} et al., Biometrics 72, No. 2, 335--343 (2016; Zbl 1418.92160) Full Text: DOI
Artalejo, J. R.; Economou, A.; Lopez-Herrero, M. J. The stochastic SEIR model before extinction: computational approaches. (English) Zbl 1410.92116 Appl. Math. Comput. 265, 1026-1043 (2015). MSC: 92D30 92-08 62P10 PDFBibTeX XMLCite \textit{J. R. Artalejo} et al., Appl. Math. Comput. 265, 1026--1043 (2015; Zbl 1410.92116) Full Text: DOI
Khan, Muhammad Altaf; Wahid, Abdul; Islam, Saeed; Khan, Ilyas; Shafie, Sharidan; Gul, Taza Stability analysis of an SEIR epidemic model with non-linear saturated incidence and temporary immunity. (English) Zbl 1359.93395 Int. J. Adv. Appl. Math. Mech. 2, No. 3, 1-14 (2015). MSC: 93D20 34D20 PDFBibTeX XMLCite \textit{M. A. Khan} et al., Int. J. Adv. Appl. Math. Mech. 2, No. 3, 1--14 (2015; Zbl 1359.93395) Full Text: Link
Tipsri, S.; Chinviriyasit, W. The effect of time delay on the dynamics of an SEIR model with nonlinear incidence. (English) Zbl 1352.92172 Chaos Solitons Fractals 75, 153-172 (2015). MSC: 92D30 34K20 PDFBibTeX XMLCite \textit{S. Tipsri} and \textit{W. Chinviriyasit}, Chaos Solitons Fractals 75, 153--172 (2015; Zbl 1352.92172) Full Text: DOI
Guo, Shuli; Fang, Bin Analysis of an SEIR epidemic model with a delay and vertical transmission. (Chinese. English summary) Zbl 1349.34331 J. Biomath. 30, No. 4, 653-658 (2015). MSC: 34K60 92D30 34K20 34K25 PDFBibTeX XMLCite \textit{S. Guo} and \textit{B. Fang}, J. Biomath. 30, No. 4, 653--658 (2015; Zbl 1349.34331)
Yang, Junxian; Yan, Ping An analysis of a delayed SEIR epidemic model with saturation incidence. (Chinese. English summary) Zbl 1340.92087 Acta Sci. Nat. Univ. Sunyatseni 54, No. 3, 51-55 (2015). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{J. Yang} and \textit{P. Yan}, Acta Sci. Nat. Univ. Sunyatseni 54, No. 3, 51--55 (2015; Zbl 1340.92087) Full Text: DOI
Zhang, Daoxiang; Cao, Lei Analysis of stability and bifurcation of an SEIR epidemic model with nonlinear incidence. (Chinese. English summary) Zbl 1340.34175 Appl. Math., Ser. A (Chin. Ed.) 30, No. 2, 157-164 (2015). MSC: 34C60 34C23 34D23 92D30 92C60 PDFBibTeX XMLCite \textit{D. Zhang} and \textit{L. Cao}, Appl. Math., Ser. A (Chin. Ed.) 30, No. 2, 157--164 (2015; Zbl 1340.34175)
Grigorieva, Ellina V.; Khailov, Evgenii N. Optimal intervention strategies for a SEIR control model of ebola epidemics. (English) Zbl 1330.49039 Mathematics 3, No. 4, 961-983 (2015). MSC: 49N90 49K15 49J15 49K30 49J30 93C15 93C10 92D30 PDFBibTeX XMLCite \textit{E. V. Grigorieva} and \textit{E. N. Khailov}, Mathematics 3, No. 4, 961--983 (2015; Zbl 1330.49039) Full Text: DOI
Ed-Darraz, Abdelkarim; Khaladi, Mohamed On the final size of epidemics in random environment. (English) Zbl 1328.92073 Math. Biosci. 266, 10-14 (2015). MSC: 92D30 60J27 PDFBibTeX XMLCite \textit{A. Ed-Darraz} and \textit{M. Khaladi}, Math. Biosci. 266, 10--14 (2015; Zbl 1328.92073) Full Text: DOI
Liu, Lili; Wang, Jinliang; Liu, Xianning Global stability of an SEIR epidemic model with age-dependent latency and relapse. (English) Zbl 1330.35472 Nonlinear Anal., Real World Appl. 24, 18-35 (2015). MSC: 35Q92 92C60 45D05 PDFBibTeX XMLCite \textit{L. Liu} et al., Nonlinear Anal., Real World Appl. 24, 18--35 (2015; Zbl 1330.35472) Full Text: DOI
Bilge, Ayse Humeyra; Samanlioglu, Funda; Ergonul, Onder On the uniqueness of epidemic models fitting a normalized curve of removed individuals. (English) Zbl 1350.92048 J. Math. Biol. 71, No. 4, 767-794 (2015). MSC: 92D30 PDFBibTeX XMLCite \textit{A. H. Bilge} et al., J. Math. Biol. 71, No. 4, 767--794 (2015; Zbl 1350.92048) Full Text: DOI
Llensa, Carlos; Juher, David; Saldaña, Joan On the early epidemic dynamics for pairwise models. (English) Zbl 1412.92291 J. Theor. Biol. 352, 71-81 (2014). MSC: 92D30 PDFBibTeX XMLCite \textit{C. Llensa} et al., J. Theor. Biol. 352, 71--81 (2014; Zbl 1412.92291) Full Text: DOI Link
Doungmo Goufo, Emile Franc; Oukouomi Noutchie, Suares Clovis; Mugisha, Stella A fractional SEIR epidemic model for spatial and temporal spread of measles in metapopulations. (English) Zbl 1406.92566 Abstr. Appl. Anal. 2014, Article ID 781028, 6 p. (2014). MSC: 92D30 35R11 PDFBibTeX XMLCite \textit{E. F. Doungmo Goufo} et al., Abstr. Appl. Anal. 2014, Article ID 781028, 6 p. (2014; Zbl 1406.92566) Full Text: DOI
Wang, Nan; Pang, Jingmei; Wang, Jinliang Stability analysis of a multigroup SEIR epidemic model with general latency distributions. (English) Zbl 1406.92630 Abstr. Appl. Anal. 2014, Article ID 740256, 8 p. (2014). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{N. Wang} et al., Abstr. Appl. Anal. 2014, Article ID 740256, 8 p. (2014; Zbl 1406.92630) Full Text: DOI
Shan, Xiuli; Liu, Huimin Global stability of an SEIR epidemic model with nonlinear incidence rate and vaccination. (Chinese. English summary) Zbl 1313.92097 J. Fuzhou Univ., Nat. Sci. 42, No. 3, 367-370, 375 (2014). MSC: 92D30 92C60 34D23 PDFBibTeX XMLCite \textit{X. Shan} and \textit{H. Liu}, J. Fuzhou Univ., Nat. Sci. 42, No. 3, 367--370, 375 (2014; Zbl 1313.92097)
Xu, Jinhu; Xu, Wenxiong; Zhou, Yicang Analysis of a delayed epidemic model with non-monotonic incidence rate and vertical transmission. (English) Zbl 1306.34131 Int. J. Biomath. 7, No. 4, Article ID 1450041, 17 p. (2014). MSC: 34K60 92D30 34K20 34K25 PDFBibTeX XMLCite \textit{J. Xu} et al., Int. J. Biomath. 7, No. 4, Article ID 1450041, 17 p. (2014; Zbl 1306.34131) Full Text: DOI
Muroya, Yoshiaki; Enatsu, Yoichi; Li, Huaixing A note on the global stability of an SEIR epidemic model with constant latency time and infectious period. (English) Zbl 1275.34103 Discrete Contin. Dyn. Syst., Ser. B 18, No. 1, 173-183 (2013). Reviewer: Hong Zhang (Zhenjiang) MSC: 34K60 34K19 34K20 92D30 PDFBibTeX XMLCite \textit{Y. Muroya} et al., Discrete Contin. Dyn. Syst., Ser. B 18, No. 1, 173--183 (2013; Zbl 1275.34103) Full Text: DOI
Xu, Changjin; Liao, Maoxin Hopf bifurcation analysis of a special SEIR epidemic model with nonlinear incidence rates. (English) Zbl 1269.34089 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 19, No. 6, 675-691 (2012). MSC: 34K60 34K20 34K18 92D30 34K13 PDFBibTeX XMLCite \textit{C. Xu} and \textit{M. Liao}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 19, No. 6, 675--691 (2012; Zbl 1269.34089) Full Text: Link
Nwagwo, A.; Obabiyi, O. S.; Bakare, E. A. Global asymptotic behaviour of a delayed SEIR epidemic model with constant recruitment. (English) Zbl 1303.92120 Far East J. Dyn. Syst. 20, No. 1, 15-38 (2012). MSC: 92D30 34K20 34K60 PDFBibTeX XMLCite \textit{A. Nwagwo} et al., Far East J. Dyn. Syst. 20, No. 1, 15--38 (2012; Zbl 1303.92120) Full Text: Link
Chen, Xiangyong; Li, Chunji; Lü, Jufang; Jing, Yuanwei The domain of attraction for a SEIR epidemic model based on sum of square optimization. (English) Zbl 1247.34082 Bull. Korean Math. Soc. 49, No. 3, 517-528 (2012). MSC: 34C60 34D20 93D20 93B40 34D05 92D30 PDFBibTeX XMLCite \textit{X. Chen} et al., Bull. Korean Math. Soc. 49, No. 3, 517--528 (2012; Zbl 1247.34082) Full Text: DOI
Abta, Abdelhadi; Kaddar, Abdelilah; Alaoui, Hamad Talibi Global stability for delay SIR and SEIR epidemic models with saturated incidence rates. (English) Zbl 1243.34115 Electron. J. Differ. Equ. 2012, Paper No. 23, 13 p. (2012). MSC: 34K60 34D23 34K20 34C60 92D30 PDFBibTeX XMLCite \textit{A. Abta} et al., Electron. J. Differ. Equ. 2012, Paper No. 23, 13 p. (2012; Zbl 1243.34115) Full Text: EMIS
Kaddar, Abdelilah; Abta, Abdelhadi; Alaoui, Hamad Talibi A comparison of delayed SIR and SEIR epidemic models. (English) Zbl 1322.92073 Nonlinear Anal., Model. Control 16, No. 2, 181-190 (2011). MSC: 92D30 PDFBibTeX XMLCite \textit{A. Kaddar} et al., Nonlinear Anal., Model. Control 16, No. 2, 181--190 (2011; Zbl 1322.92073)
Groendyke, Chris; Welch, David; Hunter, David R. Bayesian inference for contact networks given epidemic data. (English) Zbl 1246.62207 Scand. J. Stat. 38, No. 3, 600-616 (2011). MSC: 62P10 92D30 62F15 05C80 65C40 05C82 05C90 62-04 PDFBibTeX XMLCite \textit{C. Groendyke} et al., Scand. J. Stat. 38, No. 3, 600--616 (2011; Zbl 1246.62207) Full Text: DOI
Yang, Zhihui; Jia, Hanmei Epidemic dynamics model with delay and impulsive vaccination control base on variable population. (English) Zbl 1229.34124 Math. Methods Appl. Sci. 34, No. 15, 1822-1832 (2011). MSC: 34K60 34K13 34K35 35K45 92D30 34K25 34K20 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{H. Jia}, Math. Methods Appl. Sci. 34, No. 15, 1822--1832 (2011; Zbl 1229.34124) Full Text: DOI
Zhou, Xueyong; Cui, Jingan Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate. (English) Zbl 1219.92060 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4438-4450 (2011). MSC: 92D30 34C23 34D23 34D20 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{J. Cui}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4438--4450 (2011; Zbl 1219.92060) Full Text: DOI
Hotta, Luiz K. Bayesian melding estimation of a stochastic SEIR model. (English) Zbl 1408.92031 Math. Popul. Stud. 17, No. 2, 101-111 (2010). MSC: 92D30 62P10 PDFBibTeX XMLCite \textit{L. K. Hotta}, Math. Popul. Stud. 17, No. 2, 101--111 (2010; Zbl 1408.92031) 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
Wang, Haiyan; Wang, Xinping; Zeng, Amy Z. Optimal material distribution decisions based on epidemic diffusion rule and stochastic latent period for emergency rescue. (English) Zbl 1176.90060 Int. J. Math. Oper. Res. 1, No. 1-2, 76-96 (2009). MSC: 90B06 90C15 90C59 PDFBibTeX XMLCite \textit{H. Wang} et al., Int. J. Math. Oper. Res. 1, No. 1--2, 76--96 (2009; Zbl 1176.90060) Full Text: DOI
Wang, Xia; Tao, Youde; Song, Xinyu Pulse vaccination on SEIR epidemic model with nonlinear incidence rate. (English) Zbl 1162.92323 Appl. Math. Comput. 210, No. 2, 398-404 (2009). MSC: 92D30 34K45 34K13 34K20 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Comput. 210, No. 2, 398--404 (2009; Zbl 1162.92323) Full Text: DOI
Rionero, S. On the nonlinear stability of the critical points of an epidemic SEIR model via a novel Lyapunov function. (On the nonlinear stability of the critical points of an epidemic SEIR model via a novel Liapunov function.) (English) Zbl 1222.34053 Rend. Accad. Sci. Fis. Mat., Napoli (4) 75, 115-129 (2008). Reviewer: Cemil Tunç (Van) MSC: 34C60 34D20 92D30 PDFBibTeX XMLCite \textit{S. Rionero}, Rend. Accad. Sci. Fis. Mat., Napoli (4) 75, 115--129 (2008; Zbl 1222.34053)
Huang, Sen-Zhong A new SEIR epidemic model with applications to the theory of eradication and control of diseases, and to the calculation of \(R_0\). (English) Zbl 1156.92326 Math. Biosci. 215, No. 1, 84-104 (2008). MSC: 92D30 93C95 92C60 PDFBibTeX XMLCite \textit{S.-Z. Huang}, Math. Biosci. 215, No. 1, 84--104 (2008; Zbl 1156.92326) Full Text: DOI
Gao, Shujing; Teng, Zhidong; Xie, Dehui The effects of pulse vaccination on SEIR model with two time delays. (English) Zbl 1143.92024 Appl. Math. Comput. 201, No. 1-2, 282-292 (2008). MSC: 92C60 34K60 34K45 92D30 34K13 PDFBibTeX XMLCite \textit{S. Gao} et al., Appl. Math. Comput. 201, No. 1--2, 282--292 (2008; Zbl 1143.92024) Full Text: DOI
Gao, Shujing; Chen, Lansun; Teng, Zhidong Pulse vaccination of an SEIR epidemic model with time delay. (English) Zbl 1144.34390 Nonlinear Anal., Real World Appl. 9, No. 2, 599-607 (2008). MSC: 34K60 34K20 34K25 92D30 PDFBibTeX XMLCite \textit{S. Gao} et al., Nonlinear Anal., Real World Appl. 9, No. 2, 599--607 (2008; Zbl 1144.34390) Full Text: DOI
Allen, Linda J. S.; McCormack, Robert K.; Jonsson, Colleen B. Mathematical models for hantavirus infection in rodents. (English) Zbl 1334.92387 Bull. Math. Biol. 68, No. 3, 511-524 (2006). MSC: 92D30 PDFBibTeX XMLCite \textit{L. J. S. Allen} et al., Bull. Math. Biol. 68, No. 3, 511--524 (2006; Zbl 1334.92387) Full Text: DOI Link
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