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Optimal birth control problems for nonlinear agestructured population dynamics
1.  Sciences College, Hangzhou Institute of Electronic Engineering, Hangzhou, 310018, China 
2.  Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an, 710049, China, China 
[1] 
C. Connell McCluskey. Global stability for an SEI epidemiological model with continuous agestructure in the exposed and infectious classes. Mathematical Biosciences & Engineering, 2012, 9 (4) : 819841. doi: 10.3934/mbe.2012.9.819 
[2] 
Rong Liu, FengQin Zhang, Yuming Chen. Optimal contraception control for a nonlinear population model with size structure and a separable mortality. Discrete & Continuous Dynamical Systems  B, 2016, 21 (10) : 36033618. doi: 10.3934/dcdsb.2016112 
[3] 
Yueding Yuan, Zhiming Guo, Moxun Tang. A nonlocal diffusion population model with age structure and Dirichlet boundary condition. Communications on Pure & Applied Analysis, 2015, 14 (5) : 20952115. doi: 10.3934/cpaa.2015.14.2095 
[4] 
Sebastian Aniţa, AnaMaria Moşsneagu. Optimal harvesting for agestructured population dynamics with sizedependent control. Mathematical Control & Related Fields, 2019, 9 (4) : 607621. doi: 10.3934/mcrf.2019043 
[5] 
HangChin Lai, JinChirng Lee, ShuhJye Chern. A variational problem and optimal control. Journal of Industrial & Management Optimization, 2011, 7 (4) : 967975. doi: 10.3934/jimo.2011.7.967 
[6] 
Jacek Banasiak, Eddy Kimba Phongi, MirosŁaw Lachowicz. A singularly perturbed SIS model with age structure. Mathematical Biosciences & Engineering, 2013, 10 (3) : 499521. doi: 10.3934/mbe.2013.10.499 
[7] 
Fred Brauer. A model for an SI disease in an age  structured population. Discrete & Continuous Dynamical Systems  B, 2002, 2 (2) : 257264. doi: 10.3934/dcdsb.2002.2.257 
[8] 
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 
[9] 
Hongyong Zhao, Peng Wu, Shigui Ruan. Dynamic analysis and optimal control of a threeageclass HIV/AIDS epidemic model in China. Discrete & Continuous Dynamical Systems  B, 2020, 25 (9) : 34913521. doi: 10.3934/dcdsb.2020070 
[10] 
Jacques Henry. For which objective is birth process an optimal feedback in age structured population dynamics?. Discrete & Continuous Dynamical Systems  B, 2007, 8 (1) : 107114. doi: 10.3934/dcdsb.2007.8.107 
[11] 
Suxia Zhang, Xiaxia Xu. A mathematical model for hepatitis B with infectionage structure. Discrete & Continuous Dynamical Systems  B, 2016, 21 (4) : 13291346. doi: 10.3934/dcdsb.2016.21.1329 
[12] 
Toshikazu Kuniya, Jinliang Wang, Hisashi Inaba. A multigroup SIR epidemic model with age structure. Discrete & Continuous Dynamical Systems  B, 2016, 21 (10) : 35153550. doi: 10.3934/dcdsb.2016109 
[13] 
C. Connell McCluskey. Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds. Mathematical Biosciences & Engineering, 2016, 13 (2) : 381400. doi: 10.3934/mbe.2015008 
[14] 
BinGuo Wang, WanTong Li, Liang Zhang. An almost periodic epidemic model with age structure in a patchy environment. Discrete & Continuous Dynamical Systems  B, 2016, 21 (1) : 291311. doi: 10.3934/dcdsb.2016.21.291 
[15] 
Zhihua Liu, Hui Tang, Pierre Magal. Hopf bifurcation for a spatially and age structured population dynamics model. Discrete & Continuous Dynamical Systems  B, 2015, 20 (6) : 17351757. doi: 10.3934/dcdsb.2015.20.1735 
[16] 
Diène Ngom, A. Iggidir, Aboudramane Guiro, Abderrahim Ouahbi. An observer for a nonlinear agestructured model of a harvested fish population. Mathematical Biosciences & Engineering, 2008, 5 (2) : 337354. doi: 10.3934/mbe.2008.5.337 
[17] 
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 
[18] 
Linlin Li, Bedreddine Ainseba. Largetime behavior of matured population in an agestructured model. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020195 
[19] 
Zaidong Zhan, Shuping Chen, Wei Wei. A unified theory of maximum principle for continuous and discrete time optimal control problems. Mathematical Control & Related Fields, 2012, 2 (2) : 195215. doi: 10.3934/mcrf.2012.2.195 
[20] 
Shi'an Wang, N. U. Ahmed. Optimal control and stabilization of building maintenance units based on minimum principle. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2020041 
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