窦艺萌,何泽荣
窦艺萌,何泽荣. 非线性年龄等级结构种群系统的边界控制问题[J]. 系统科学与数学, 2023, 43(2): 295-309.
DOU Yimeng, HE Zerong. Boundary Control Problems for a Nonlinear Hierarchical Age-Structured Population System[J]. Journal of Systems Science and Mathematical Sciences, 2023, 43(2): 295-309.
DOU Yimeng, HE Zerong
MR(2010)主题分类:
分享此文:
[1] Medhin N G. Optimal harvesting in age-structured populations. J. Optim. Theor. Appl., 1992, 74(3):413-423. [2] 于景元, 郭宝珠, 朱广田. 人口分布参数系统控制理论. 武汉:华中理工大学出版社, 1999.(Yu J, Guo B, Zhu G. Control Theory of Distributed ParametersPopulation Systems. Wuhan:Press of Central China University ofScience and Technology, 1999.) [3] Barbu V, Iannelli M, Martcheva M. On the controllability of the Lotka-McKendrick model of population dynamics. J. Math. Anal. Appl., 2000, 253:142-165. [4] Anita S. Analysis and Control of Age-Dependent PopulationDynamics. Dordrecht/Boston/London:Kluwer Academic Publishers,2000. [5] Ainseba B. Exact and approximate controllabilityof the age and space structured population dynamics model. J.Math. Anal. Appl., 2002, 275:562-574. [6] Ainseba B, Iannelli M. Exact controllability of a nonlinear population-dynamics problem. J. Math. Anal. Appl., 2003, 16(11):1369-1384. [7] Luo Z, Li W T, Wang M. Optimal harvesting control problem forlinear periodic age-dependent population dynamics. Applied Mathematics and Computation, 2004, 151:789-800. [8] Zhao C, Wang M S, Zhao P. Optimal harvesting problems forage-dependent interacting species with diffusion. AppliedMathematics and Computation, 2005, 163:117-129. [9] Zhao C, Zhao P, Wang M S. Optimal harvesting for nonlinear age-dependent population dynamics. Mathematical and Computer Modelling, 2006, 43:310-319. [10] Fister K R, Lenhart S. Optimal harvesting inage-structured predator-prey model. Appl. Math. Optim., 2006, 54:1-15. [11] 付军, 陈任昭. 年龄相关的时变种群系统的边界能控性. 东北师大学报(自然科学版), 2007, 39(1):1-6.(Fu J, Chen R Z. Boundary controllability for time-varyingpopulation system with age dependence. Journal of NortheastNormal University (Natural Science Edition), 2007, 39(1):1-6.) [12] Dewsbury D A. Dominance rank, copulatory behavior, and differential reproduction. The Quarterly Review of Biology, 1982, 57(2):135-159. [13] 何泽荣, 倪冬冬, 王淑平. 一类等级结构种群系统的调控问题. 系统科学与数学, 2018, 38(10):1140-1148.(He Z R, Ni D, Wang S. Control problems of a kind of hierarchical population system. Journal of Systems Science and Mathematical Sciences, 2018, 38(10):1140-1148.) [14] He Z R, Ni D, Wang S P. Optimal harvesting of a hierarchical age-structured population system. International Journal of Biomathematics, 2019, 12(8):195009101-195009125. [15] 何泽荣, 王淑平, 章春国. 非线性年龄等级结构种群系统的近似能控性. 系统科学与数学, 2020, 40(5):775-782.(He Z R, Wang S P, Zhang C G. Approximate controllability for a nonlinear hierarchical age-structured population system. Journal of Systems Science and Mathematical Sciences, 2020, 40(5):775-782.) [16] He Z R, Han M. Theoretical results of optimalharvesting in a hierarchical size-structured population system withdelay. International Journal of Biomathematics, 2021, 14(7):215005401-215005419.%\newpage [17] 何泽荣, 周楠. 基于等级结构的两种群系统的最优初始分布控制. 系统科学与数学, 2021, 41(8):2063-2076.(He Z R, Zhou N. Optimal control of initial distributions in a hierarchical two age-structured population system. Journal of Systems Science and Mathematical Sciences, 2021, 41(8):2063-2076.) [18] He Z, Ni D, Liu Y. Theory and approximation ofsolutions to a controlled hierarchical age-structured population model. Journal of Applied Analysis and Computation, 2018, 8(5):1326-1341. [19] Zeidler E. Nonlinear Functional Analysis and Its Applications (Translated by Peter R. Wadsack). Berlin:Springer-Verlag, 1986. [20] Yosida K. Functional Analysis. Beijing:Beijing World Publishing Corporation, 1999. [21] Barbu V, Iannelli M. Optimal control of population dynamics. J. Optim. Theo. Appl., 1999, 102:1-14. [22] Ekeland I. On the variational principle. J. Math. Anal. Appl., 1974, 47:324-353. |
[1] | 钟佳岐, 陈晓雷, 曾诚. 具有执行器饱和的多智能体系统$H_\infty$边界一致性控制[J]. 系统科学与数学, 2023, 43(1): 29-43. |
[2] | 何泽荣, 秦婉玉. 融合空间扩散与等级结构的种群系统的最优收获控制[J]. 系统科学与数学, 2022, 42(2): 240-254. |
[3] | 党佳丽, 王树波. 含齿隙非线性的双电机伺服系统最优控制[J]. 系统科学与数学, 2022, 42(12): 3189-3200. |
[4] | 何泽荣, 周楠. 年龄等级结构捕食系统模型的最优控制[J]. 系统科学与数学, 2021, 41(5): 1191-1202. |
[5] | 李丹,唐应辉. 基于 Min$\left( N,D,V \right)$- 策略和单重休假且休假不中断的~$M/G/1$ 排队系统[J]. 系统科学与数学, 2021, 41(2): 533-556. |
[6] | 吴功兴, 阙凌燕, 琚春华. 基于帕累托前沿的双目标两阶段电网电压优化方法[J]. 系统科学与数学, 2021, 41(11): 3207-3217. |
[7] | 王冬妮,翟金刚,冯恩民. 一类连续发酵的分数阶建模及参数辨识[J]. 系统科学与数学, 2020, 40(9): 1517-1530. |
[8] | 何泽荣,王淑平,章春国. 非线性年龄等级结构种群系统的近似能控性[J]. 系统科学与数学, 2020, 40(5): 775-782. |
[9] | 张海森,张旭. 随机最优控制的二阶必要条件综述[J]. 系统科学与数学, 2019, 39(2): 228-265. |
[10] | 刘康生,黄景芳,于欣. 抛物系统时间最优控制问题有限维逼近的误差估计[J]. 系统科学与数学, 2019, 39(2): 311-325. |
[11] | 王敏,唐应辉. 基于~${\rm Min}\left( N,D,V \right)$- 策略和单重休假的~$M/G/1$ 排队系统的最优控制策略[J]. 系统科学与数学, 2018, 38(9): 1067-1084. |
[12] | 贾彦娜. 自抗扰控制处理边界带有干扰的具有尖端质量的 Timoshenko 梁方程的稳定性[J]. 系统科学与数学, 2018, 38(11): 1252-1266. |
[13] | 何泽荣,倪冬冬,王淑平. 一类等级结构种群系统的调控问题[J]. 系统科学与数学, 2018, 38(10): 1140-1148. |
[14] | 何泽荣,倪冬冬,郑敏. 具有尺度结构和时滞的种群系统遍历性与最优控制[J]. 系统科学与数学, 2018, 38(1): 1-15. |
[15] | 杨剑锋,姚华实,石戈. 并联型APF抗启动冲击的时间最优控制算法研究[J]. 系统科学与数学, 2017, 37(9): 1904-1914. |
阅读次数 | ||||||
全文 |
|
|||||
摘要 |
|
|||||