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Optimal control applied to a model for species augmentation
1.  Department of Mathematics, University of Tennessee, Knoxville, TN 379961300, United States 
2.  Department of Mathematics & Department of Ecology and Evolutionary Biology, University of Tennessee, Knoxville, TN 379961300, United States 
[1] 
Ping Lin, Weihan Wang. Optimal control problems for some ordinary differential equations with behavior of blowup or quenching. Mathematical Control and Related Fields, 2018, 8 (3&4) : 809828. doi: 10.3934/mcrf.2018036 
[2] 
Gang Huang, Yasuhiro Takeuchi, Rinko Miyazaki. Stability conditions for a class of delay differential equations in single species population dynamics. Discrete and Continuous Dynamical Systems  B, 2012, 17 (7) : 24512464. doi: 10.3934/dcdsb.2012.17.2451 
[3] 
Lukáš Adam, Jiří Outrata. On optimal control of a sweeping process coupled with an ordinary differential equation. Discrete and Continuous Dynamical Systems  B, 2014, 19 (9) : 27092738. doi: 10.3934/dcdsb.2014.19.2709 
[4] 
Hongwei Lou, Weihan Wang. Optimal blowup/quenching time for controlled autonomous ordinary differential equations. Mathematical Control and Related Fields, 2015, 5 (3) : 517527. doi: 10.3934/mcrf.2015.5.517 
[5] 
Alfonso RuizHerrera. Chaos in delay differential equations with applications in population dynamics. Discrete and Continuous Dynamical Systems, 2013, 33 (4) : 16331644. doi: 10.3934/dcds.2013.33.1633 
[6] 
Z.R. He, M.S. Wang, Z.E. Ma. Optimal birth control problems for nonlinear agestructured population dynamics. Discrete and Continuous Dynamical Systems  B, 2004, 4 (3) : 589594. doi: 10.3934/dcdsb.2004.4.589 
[7] 
JanHendrik Webert, Philip E. Gill, SvenJoachim Kimmerle, Matthias Gerdts. A study of structureexploiting SQP algorithms for an optimal control problem with coupled hyperbolic and ordinary differential equation constraints. Discrete and Continuous Dynamical Systems  S, 2018, 11 (6) : 12591282. doi: 10.3934/dcdss.2018071 
[8] 
Pierre Magal. Global stability for differential equations with homogeneous nonlinearity and application to population dynamics. Discrete and Continuous Dynamical Systems  B, 2002, 2 (4) : 541560. doi: 10.3934/dcdsb.2002.2.541 
[9] 
Narcisa Apreutesei, Arnaud Ducrot, Vitaly Volpert. Travelling waves for integrodifferential equations in population dynamics. Discrete and Continuous Dynamical Systems  B, 2009, 11 (3) : 541561. doi: 10.3934/dcdsb.2009.11.541 
[10] 
Nguyen Thi Hoai. Asymptotic approximation to a solution of a singularly perturbed linearquadratic optimal control problem with secondorder linear ordinary differential equation of state variable. Numerical Algebra, Control and Optimization, 2021, 11 (4) : 495512. doi: 10.3934/naco.2020040 
[11] 
Bernard Dacorogna, Alessandro Ferriero. Regularity and selecting principles for implicit ordinary differential equations. Discrete and Continuous Dynamical Systems  B, 2009, 11 (1) : 87101. doi: 10.3934/dcdsb.2009.11.87 
[12] 
Zvi Artstein. Averaging of ordinary differential equations with slowly varying averages. Discrete and Continuous Dynamical Systems  B, 2010, 14 (2) : 353365. doi: 10.3934/dcdsb.2010.14.353 
[13] 
Sebastian Aniţa, AnaMaria Moşsneagu. Optimal harvesting for agestructured population dynamics with sizedependent control. Mathematical Control and Related Fields, 2019, 9 (4) : 607621. doi: 10.3934/mcrf.2019043 
[14] 
ȘtefanaLucia Aniţa. Optimal control for stochastic differential equations and related Kolmogorov equations. Evolution Equations and Control Theory, 2022 doi: 10.3934/eect.2022023 
[15] 
Tomasz Kapela, Piotr Zgliczyński. A Lohnertype algorithm for control systems and ordinary differential inclusions. Discrete and Continuous Dynamical Systems  B, 2009, 11 (2) : 365385. doi: 10.3934/dcdsb.2009.11.365 
[16] 
Attila Dénes, Gergely Röst. Single species population dynamics in seasonal environment with short reproduction period. Communications on Pure and Applied Analysis, 2021, 20 (2) : 755762. doi: 10.3934/cpaa.2020288 
[17] 
Andrew J. Whittle, Suzanne Lenhart, Louis J. Gross. Optimal control for management of an invasive plant species. Mathematical Biosciences & Engineering, 2007, 4 (1) : 101112. doi: 10.3934/mbe.2007.4.101 
[18] 
Serge Nicaise. Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations. Mathematical Control and Related Fields, 2021 doi: 10.3934/mcrf.2021057 
[19] 
Stefano Maset. Conditioning and relative error propagation in linear autonomous ordinary differential equations. Discrete and Continuous Dynamical Systems  B, 2018, 23 (7) : 28792909. doi: 10.3934/dcdsb.2018165 
[20] 
W. Sarlet, G. E. Prince, M. Crampin. Generalized submersiveness of secondorder ordinary differential equations. Journal of Geometric Mechanics, 2009, 1 (2) : 209221. doi: 10.3934/jgm.2009.1.209 
2018 Impact Factor: 1.313
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