
Previous Article
Modeling and prediction of HIV in China: transmission rates structured by infection ages
 MBE Home
 This Issue

Next Article
Simulation of singlespecies bacterialbiofilm growth using the GlazierGranerHogeweg model and the CompuCell3D modeling environment
SEIR epidemiological model with varying infectivity and infinite delay
1.  Analysis and Stochastics Research Group, Hungarian Academy of Sciences, Bolyai Institute, University of Szeged, H6720 Szeged, Aradi vértanúk tere 1., Hungary 
2.  Center for Disease Modeling & Dept. of Mathematics and Statistics, York University, Toronto 4700 Keele str., M3J 1P3, ON, Canada 
[1] 
C. Connell McCluskey. Global stability for an SEIR epidemiological model with varying infectivity and infinite delay. Mathematical Biosciences & Engineering, 2009, 6 (3) : 603610. doi: 10.3934/mbe.2009.6.603 
[2] 
Zhigui Lin, Yinan Zhao, Peng Zhou. The infected frontier in an SEIR epidemic model with infinite delay. Discrete and Continuous Dynamical Systems  B, 2013, 18 (9) : 23552376. doi: 10.3934/dcdsb.2013.18.2355 
[3] 
Songbai Guo, JingAn Cui, Wanbiao Ma. An analysis approach to permanence of a delay differential equations model of microorganism flocculation. Discrete and Continuous Dynamical Systems  B, 2022, 27 (7) : 38313844. doi: 10.3934/dcdsb.2021208 
[4] 
Jianghao Hao, Junna Zhang. General stability of abstract thermoelastic system with infinite memory and delay. Mathematical Control and Related Fields, 2021, 11 (2) : 353371. doi: 10.3934/mcrf.2020040 
[5] 
Yoshiaki Muroya, Yoichi Enatsu, Huaixing Li. A note on the global stability of an SEIR epidemic model with constant latency time and infectious period. Discrete and Continuous Dynamical Systems  B, 2013, 18 (1) : 173183. doi: 10.3934/dcdsb.2013.18.173 
[6] 
Brandy Rapatski, Petra Klepac, Stephen Dueck, Maoxing Liu, Leda Ivic Weiss. Mathematical epidemiology of HIV/AIDS in cuba during the period 19862000. Mathematical Biosciences & Engineering, 2006, 3 (3) : 545556. doi: 10.3934/mbe.2006.3.545 
[7] 
Shu Liao, Jin Wang. Stability analysis and application of a mathematical cholera model. Mathematical Biosciences & Engineering, 2011, 8 (3) : 733752. doi: 10.3934/mbe.2011.8.733 
[8] 
Abdul M. Kamareddine, Roger L. Hughes. Towards a mathematical model for stability in pedestrian flows. Networks and Heterogeneous Media, 2011, 6 (3) : 465483. doi: 10.3934/nhm.2011.6.465 
[9] 
Yuan Yuan, Xianlong Fu. Mathematical analysis of an agestructured HIV model with intracellular delay. Discrete and Continuous Dynamical Systems  B, 2022, 27 (4) : 20772106. doi: 10.3934/dcdsb.2021123 
[10] 
Aissa Guesmia, Nassereddine Tatar. Some wellposedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay. Communications on Pure and Applied Analysis, 2015, 14 (2) : 457491. doi: 10.3934/cpaa.2015.14.457 
[11] 
Abdelhai Elazzouzi, Aziz Ouhinou. Optimal regularity and stability analysis in the $\alpha$Norm for a class of partial functional differential equations with infinite delay. Discrete and Continuous Dynamical Systems, 2011, 30 (1) : 115135. doi: 10.3934/dcds.2011.30.115 
[12] 
Pham Huu Anh Ngoc. New criteria for exponential stability in mean square of stochastic functional differential equations with infinite delay. Evolution Equations and Control Theory, 2022, 11 (4) : 11911200. doi: 10.3934/eect.2021040 
[13] 
Julien Arino, K.L. Cooke, P. van den Driessche, J. VelascoHernández. An epidemiology model that includes a leaky vaccine with a general waning function. Discrete and Continuous Dynamical Systems  B, 2004, 4 (2) : 479495. doi: 10.3934/dcdsb.2004.4.479 
[14] 
Telma Silva, Adélia Sequeira, Rafael F. Santos, Jorge Tiago. Existence, uniqueness, stability and asymptotic behavior of solutions for a mathematical model of atherosclerosis. Discrete and Continuous Dynamical Systems  S, 2016, 9 (1) : 343362. doi: 10.3934/dcdss.2016.9.343 
[15] 
Zhisheng Shuai, P. van den Driessche. Impact of heterogeneity on the dynamics of an SEIR epidemic model. Mathematical Biosciences & Engineering, 2012, 9 (2) : 393411. doi: 10.3934/mbe.2012.9.393 
[16] 
M. H. A. Biswas, L. T. Paiva, MdR de Pinho. A SEIR model for control of infectious diseases with constraints. Mathematical Biosciences & Engineering, 2014, 11 (4) : 761784. doi: 10.3934/mbe.2014.11.761 
[17] 
Zhiting Xu. Traveling waves for a diffusive SEIR epidemic model. Communications on Pure and Applied Analysis, 2016, 15 (3) : 871892. doi: 10.3934/cpaa.2016.15.871 
[18] 
Qun Liu, Daqing Jiang, Ningzhong Shi, Tasawar Hayat, Ahmed Alsaedi. Stationarity and periodicity of positive solutions to stochastic SEIR epidemic models with distributed delay. Discrete and Continuous Dynamical Systems  B, 2017, 22 (6) : 24792500. doi: 10.3934/dcdsb.2017127 
[19] 
Hongfu Yang, Xiaoyue Li, George Yin. Permanence and ergodicity of stochastic GilpinAyala population model with regime switching. Discrete and Continuous Dynamical Systems  B, 2016, 21 (10) : 37433766. doi: 10.3934/dcdsb.2016119 
[20] 
Shangzhi Li, Shangjiang Guo. Permanence and extinction of a stochastic SIS epidemic model with three independent Brownian motions. Discrete and Continuous Dynamical Systems  B, 2021, 26 (5) : 26932719. doi: 10.3934/dcdsb.2020201 
2018 Impact Factor: 1.313
Tools
Metrics
Other articles
by authors
[Back to Top]