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An agestructured twostrain epidemic model with superinfection
1.  Department of Mathematics, Xinyang Normal University, Xinyang 464000, China, China 
2.  Department of Mathematics, 358 Little Hall, University of Florida, Gainesville, FL 32611, United States 
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Hui Cao, Yicang Zhou. The basic reproduction number of discrete SIR and SEIS models with periodic parameters. Discrete & Continuous Dynamical Systems  B, 2013, 18 (1) : 3756. doi: 10.3934/dcdsb.2013.18.37 
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Junyuan Yang, Yuming Chen, Jiming Liu. Stability analysis of a twostrain epidemic model on complex networks with latency. Discrete & Continuous Dynamical Systems  B, 2016, 21 (8) : 28512866. doi: 10.3934/dcdsb.2016076 
[3] 
Tom Burr, Gerardo Chowell. The reproduction number $R_t$ in structured and nonstructured populations. Mathematical Biosciences & Engineering, 2009, 6 (2) : 239259. doi: 10.3934/mbe.2009.6.239 
[4] 
Azmy S. Ackleh, Keng Deng, Yixiang Wu. Competitive exclusion and coexistence in a twostrain pathogen model with diffusion. Mathematical Biosciences & Engineering, 2016, 13 (1) : 118. doi: 10.3934/mbe.2016.13.1 
[5] 
Nicolas Bacaër, Xamxinur Abdurahman, Jianli Ye, Pierre Auger. On the basic reproduction number $R_0$ in sexual activity models for HIV/AIDS epidemics: Example from Yunnan, China. Mathematical Biosciences & Engineering, 2007, 4 (4) : 595607. doi: 10.3934/mbe.2007.4.595 
[6] 
Geni Gupur, XueZhi Li. Global stability of an agestructured SIRS epidemic model with vaccination. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 643652. doi: 10.3934/dcdsb.2004.4.643 
[7] 
Gerardo Chowell, R. Fuentes, A. Olea, X. Aguilera, H. Nesse, J. M. Hyman. The basic reproduction number $R_0$ and effectiveness of reactive interventions during dengue epidemics: The 2002 dengue outbreak in Easter Island, Chile. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : 14551474. doi: 10.3934/mbe.2013.10.1455 
[8] 
Yu Yang, Shigui Ruan, Dongmei Xiao. Global stability of an agestructured virus dynamics model with BeddingtonDeAngelis infection function. Mathematical Biosciences & Engineering, 2015, 12 (4) : 859877. doi: 10.3934/mbe.2015.12.859 
[9] 
Jianxin Yang, Zhipeng Qiu, XueZhi Li. Global stability of an agestructured cholera model. Mathematical Biosciences & Engineering, 2014, 11 (3) : 641665. doi: 10.3934/mbe.2014.11.641 
[10] 
Georgi Kapitanov. A double agestructured model of the coinfection of tuberculosis and HIV. Mathematical Biosciences & Engineering, 2015, 12 (1) : 2340. doi: 10.3934/mbe.2015.12.23 
[11] 
Hossein Mohebbi, Azim Aminataei, Cameron J. Browne, Mohammad Reza Razvan. Hopf bifurcation of an agestructured virus infection model. Discrete & Continuous Dynamical Systems  B, 2018, 23 (2) : 861885. doi: 10.3934/dcdsb.2018046 
[12] 
Hisashi Inaba. Mathematical analysis of an agestructured SIR epidemic model with vertical transmission. Discrete & Continuous Dynamical Systems  B, 2006, 6 (1) : 6996. doi: 10.3934/dcdsb.2006.6.69 
[13] 
Xianlong Fu, Zhihua Liu, Pierre Magal. Hopf bifurcation in an agestructured population model with two delays. Communications on Pure & Applied Analysis, 2015, 14 (2) : 657676. doi: 10.3934/cpaa.2015.14.657 
[14] 
Shengqin Xu, Chuncheng Wang, Dejun Fan. Stability and bifurcation in an agestructured model with stocking rate and time delays. Discrete & Continuous Dynamical Systems  B, 2019, 24 (6) : 25352549. doi: 10.3934/dcdsb.2018264 
[15] 
Ling Xue, Caterina Scoglio. Networklevel reproduction number and extinction threshold for vectorborne diseases. Mathematical Biosciences & Engineering, 2015, 12 (3) : 565584. doi: 10.3934/mbe.2015.12.565 
[16] 
Gerardo Chowell, Catherine E. Ammon, Nicolas W. Hengartner, James M. Hyman. Estimating the reproduction number from the initial phase of the Spanish flu pandemic waves in Geneva, Switzerland. Mathematical Biosciences & Engineering, 2007, 4 (3) : 457470. doi: 10.3934/mbe.2007.4.457 
[17] 
HeeDae Kwon, Jeehyun Lee, Myoungho Yoon. An agestructured model with immune response of HIV infection: Modeling and optimal control approach. Discrete & Continuous Dynamical Systems  B, 2014, 19 (1) : 153172. doi: 10.3934/dcdsb.2014.19.153 
[18] 
Jinliang Wang, Jiying Lang, Yuming Chen. Global dynamics of an agestructured HIV infection model incorporating latency and celltocell transmission. Discrete & Continuous Dynamical Systems  B, 2017, 22 (10) : 37213747. doi: 10.3934/dcdsb.2017186 
[19] 
Azizeh Jabbari, Carlos CastilloChavez, Fereshteh Nazari, Baojun Song, Hossein Kheiri. A twostrain TB model with multiple latent stages. Mathematical Biosciences & Engineering, 2016, 13 (4) : 741785. doi: 10.3934/mbe.2016017 
[20] 
E. Jung, Suzanne Lenhart, Z. Feng. Optimal control of treatments in a twostrain tuberculosis model. Discrete & Continuous Dynamical Systems  B, 2002, 2 (4) : 473482. doi: 10.3934/dcdsb.2002.2.473 
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