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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] 
Hassan Tahir, Asaf Khan, Anwarud Din, Amir Khan, Gul Zaman. Optimal control strategy for an agestructured SIR endemic model. Discrete & Continuous Dynamical Systems  S, 2021, 14 (7) : 25352555. doi: 10.3934/dcdss.2021054 
[5] 
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 
[6] 
Miaomiao Chen, Rong Yuan. Maximum principle for the optimal harvesting problem of a sizestagestructured population model. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021245 
[7] 
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 
[8] 
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 
[9] 
Laurent Di Menza, Virginie JoanneFabre. An age group model for the study of a population of trees. Discrete & Continuous Dynamical Systems  S, 2021, 14 (8) : 28232835. doi: 10.3934/dcdss.2020464 
[10] 
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 
[11] 
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 
[12] 
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 
[13] 
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 
[14] 
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 
[15] 
Linlin Li, Bedreddine Ainseba. Largetime behavior of matured population in an agestructured model. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 25612580. doi: 10.3934/dcdsb.2020195 
[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] 
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 
[19] 
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 
[20] 
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 
2020 Impact Factor: 1.327
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