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Optimal control for management of an invasive plant species
1.  Department of Mathematics, University of Tennessee, Knoxville, Tennessee 379961300, United States 
2.  Department of Mathematics, University of Tennessee, Knoxville, TN 379961300 
3.  Department of Mathematics & Department of Ecology and Evolutionary Biology, University of Tennessee, Knoxville, TN 379961300, United States 
[1] 
Linhao Xu, Marya Claire Zdechlik, Melissa C. Smith, Min B. Rayamajhi, Don L. DeAngelis, Bo Zhang. Simulation of posthurricane impact on invasive species with biological control management. Discrete & Continuous Dynamical Systems, 2020, 40 (6) : 40594071. doi: 10.3934/dcds.2020038 
[2] 
Paula A. GonzálezParra, Sunmi Lee, Leticia Velázquez, Carlos CastilloChavez. A note on the use of optimal control on a discrete time model of influenza dynamics. Mathematical Biosciences & Engineering, 2011, 8 (1) : 183197. doi: 10.3934/mbe.2011.8.183 
[3] 
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 
[4] 
Lars Grüne, Matthias A. Müller, Christopher M. Kellett, Steven R. Weller. Strict dissipativity for discrete time discounted optimal control problems. Mathematical Control & Related Fields, 2020 doi: 10.3934/mcrf.2020046 
[5] 
David GonzálezSánchez, Onésimo HernándezLerma. On the Euler equation approach to discretetime nonstationary optimal control problems. Journal of Dynamics & Games, 2014, 1 (1) : 5778. doi: 10.3934/jdg.2014.1.57 
[6] 
Jumpei Inoue, Kousuke Kuto. On the unboundedness of the ratio of species and resources for the diffusive logistic equation. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 24412450. doi: 10.3934/dcdsb.2020186 
[7] 
Erin N. Bodine, Louis J. Gross, Suzanne Lenhart. Optimal control applied to a model for species augmentation. Mathematical Biosciences & Engineering, 2008, 5 (4) : 669680. doi: 10.3934/mbe.2008.5.669 
[8] 
Sie Long Kek, Mohd Ismail Abd Aziz, Kok Lay Teo, Rohanin Ahmad. An iterative algorithm based on modelreality differences for discretetime nonlinear stochastic optimal control problems. Numerical Algebra, Control & Optimization, 2013, 3 (1) : 109125. doi: 10.3934/naco.2013.3.109 
[9] 
Agnieszka B. Malinowska, Tatiana Odzijewicz. Optimal control of the discretetime fractionalorder CuckerSmale model. Discrete & Continuous Dynamical Systems  B, 2018, 23 (1) : 347357. doi: 10.3934/dcdsb.2018023 
[10] 
Vladimir Gaitsgory, Alex Parkinson, Ilya Shvartsman. Linear programming based optimality conditions and approximate solution of a deterministic infinite horizon discounted optimal control problem in discrete time. Discrete & Continuous Dynamical Systems  B, 2019, 24 (4) : 17431767. doi: 10.3934/dcdsb.2018235 
[11] 
Sie Long Kek, Kok Lay Teo, Mohd Ismail Abd Aziz. Filtering solution of nonlinear stochastic optimal control problem in discretetime with modelreality differences. Numerical Algebra, Control & Optimization, 2012, 2 (1) : 207222. doi: 10.3934/naco.2012.2.207 
[12] 
Yadong Shu, Bo Li. Linearquadratic optimal control for discretetime stochastic descriptor systems. Journal of Industrial & Management Optimization, 2021 doi: 10.3934/jimo.2021034 
[13] 
Yuefen Chen, Yuanguo Zhu. Indefinite LQ optimal control with process state inequality constraints for discretetime uncertain systems. Journal of Industrial & Management Optimization, 2018, 14 (3) : 913930. doi: 10.3934/jimo.2017082 
[14] 
Vladimir Gaitsgory, Alex Parkinson, Ilya Shvartsman. Linear programming formulations of deterministic infinite horizon optimal control problems in discrete time. Discrete & Continuous Dynamical Systems  B, 2017, 22 (10) : 38213838. doi: 10.3934/dcdsb.2017192 
[15] 
Sie Long Kek, Mohd Ismail Abd Aziz. Output regulation for discretetime nonlinear stochastic optimal control problems with modelreality differences. Numerical Algebra, Control & Optimization, 2015, 5 (3) : 275288. doi: 10.3934/naco.2015.5.275 
[16] 
Zhen Wu, Feng Zhang. Maximum principle for discretetime stochastic optimal control problem and stochastic game. Mathematical Control & Related Fields, 2021 doi: 10.3934/mcrf.2021031 
[17] 
Abhyudai Singh, Roger M. Nisbet. Variation in risk in singlespecies discretetime models. Mathematical Biosciences & Engineering, 2008, 5 (4) : 859875. doi: 10.3934/mbe.2008.5.859 
[18] 
Chaohong Pan, Hongyong Wang, Chunhua Ou. Invasive speed for a competitiondiffusion system with three species. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021194 
[19] 
Daniel Franco, Chris Guiver, Phoebe Smith, Stuart Townley. A switching feedback control approach for persistence of managed resources. Discrete & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021109 
[20] 
V.N. Malozemov, A.V. Omelchenko. On a discrete optimal control problem with an explicit solution. Journal of Industrial & Management Optimization, 2006, 2 (1) : 5562. doi: 10.3934/jimo.2006.2.55 
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