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A model for an SI disease in an age  structured population
1.  Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada 
[1] 
Xi Huo. Modeling of contact tracing in epidemic populations structured by disease age. Discrete & Continuous Dynamical Systems  B, 2015, 20 (6) : 16851713. doi: 10.3934/dcdsb.2015.20.1685 
[2] 
Andrea Franceschetti, Andrea Pugliese, Dimitri Breda. Multiple endemic states in agestructured $SIR$ epidemic models. Mathematical Biosciences & Engineering, 2012, 9 (3) : 577599. doi: 10.3934/mbe.2012.9.577 
[3] 
Odo Diekmann, Yi Wang, Ping Yan. Carrying simplices in discrete competitive systems and agestructured semelparous populations. Discrete & Continuous Dynamical Systems  A, 2008, 20 (1) : 3752. doi: 10.3934/dcds.2008.20.37 
[4] 
Yicang Zhou, Paolo Fergola. Dynamics of a discrete agestructured SIS models. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 841850. doi: 10.3934/dcdsb.2004.4.841 
[5] 
W. E. Fitzgibbon, M.E. Parrott, Glenn Webb. Diffusive epidemic models with spatial and age dependent heterogeneity. Discrete & Continuous Dynamical Systems  A, 1995, 1 (1) : 3557. doi: 10.3934/dcds.1995.1.35 
[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] 
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 
[8] 
Shaoli Wang, Jianhong Wu, Libin Rong. A note on the global properties of an agestructured viral dynamic model with multiple target cell populations. Mathematical Biosciences & Engineering, 2017, 14 (3) : 805820. doi: 10.3934/mbe.2017044 
[9] 
Yicang Zhou, Zhien Ma. Global stability of a class of discrete agestructured SIS models with immigration. Mathematical Biosciences & Engineering, 2009, 6 (2) : 409425. doi: 10.3934/mbe.2009.6.409 
[10] 
Zhihua Liu, Pierre Magal, Shigui Ruan. Oscillations in agestructured models of consumerresource mutualisms. Discrete & Continuous Dynamical Systems  B, 2016, 21 (2) : 537555. doi: 10.3934/dcdsb.2016.21.537 
[11] 
P. Magal, H. R. Thieme. Eventual compactness for semiflows generated by nonlinear agestructured models. Communications on Pure & Applied Analysis, 2004, 3 (4) : 695727. doi: 10.3934/cpaa.2004.3.695 
[12] 
Carlota Rebelo, Alessandro Margheri, Nicolas Bacaër. Persistence in some periodic epidemic models with infection age or constant periods of infection. Discrete & Continuous Dynamical Systems  B, 2014, 19 (4) : 11551170. doi: 10.3934/dcdsb.2014.19.1155 
[13] 
Liming Cai, Maia Martcheva, XueZhi Li. Epidemic models with age of infection, indirect transmission and incomplete treatment. Discrete & Continuous Dynamical Systems  B, 2013, 18 (9) : 22392265. doi: 10.3934/dcdsb.2013.18.2239 
[14] 
XueZhi Li, JiXuan Liu, Maia Martcheva. An agestructured twostrain epidemic model with superinfection. Mathematical Biosciences & Engineering, 2010, 7 (1) : 123147. doi: 10.3934/mbe.2010.7.123 
[15] 
Toshikazu Kuniya, Mimmo Iannelli. $R_0$ and the global behavior of an agestructured SIS epidemic model with periodicity and vertical transmission. Mathematical Biosciences & Engineering, 2014, 11 (4) : 929945. doi: 10.3934/mbe.2014.11.929 
[16] 
Yanxia Dang, Zhipeng Qiu, Xuezhi Li. Competitive exclusion in an infectionage structured vectorhost epidemic model. Mathematical Biosciences & Engineering, 2017, 14 (4) : 901931. doi: 10.3934/mbe.2017048 
[17] 
Zhilan Feng, Qing Han, Zhipeng Qiu, Andrew N. Hill, John W. Glasser. Computation of $\mathcal R $ in agestructured epidemiological models with maternal and temporary immunity. Discrete & Continuous Dynamical Systems  B, 2016, 21 (2) : 399415. doi: 10.3934/dcdsb.2016.21.399 
[18] 
Yingli Pan, Ying Su, Junjie Wei. Bistable waves of a recursive system arising from seasonal agestructured population models. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 511528. doi: 10.3934/dcdsb.2018184 
[19] 
Karl Peter Hadeler. Structured populations with diffusion in state space. Mathematical Biosciences & Engineering, 2010, 7 (1) : 3749. doi: 10.3934/mbe.2010.7.37 
[20] 
Agnieszka Bartłomiejczyk, Henryk Leszczyński. Structured populations with diffusion and Feller conditions. Mathematical Biosciences & Engineering, 2016, 13 (2) : 261279. doi: 10.3934/mbe.2015002 
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