
Previous Article
The stability of stationary fronts for a discrete nerve axon model
 MBE Home
 This Issue

Next Article
Alternative models for cyclic lemming dynamics
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 and 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 and Related Fields, 2012, 2 (2) : 195215. doi: 10.3934/mcrf.2012.2.195 
[4] 
David GonzálezSánchez, Onésimo HernándezLerma. On the Euler equation approach to discretetime nonstationary optimal control problems. Journal of Dynamics and Games, 2014, 1 (1) : 5778. doi: 10.3934/jdg.2014.1.57 
[5] 
Lars Grüne, Matthias A. Müller, Christopher M. Kellett, Steven R. Weller. Strict dissipativity for discrete time discounted optimal control problems. Mathematical Control and Related Fields, 2021, 11 (4) : 771796. doi: 10.3934/mcrf.2020046 
[6] 
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 
[7] 
Jumpei Inoue, Kousuke Kuto. On the unboundedness of the ratio of species and resources for the diffusive logistic equation. Discrete and Continuous Dynamical Systems  B, 2021, 26 (5) : 24412450. doi: 10.3934/dcdsb.2020186 
[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 and 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 and 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 and 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 and Optimization, 2012, 2 (1) : 207222. doi: 10.3934/naco.2012.2.207 
[12] 
Yuefen Chen, Yuanguo Zhu. Indefinite LQ optimal control with process state inequality constraints for discretetime uncertain systems. Journal of Industrial and Management Optimization, 2018, 14 (3) : 913930. doi: 10.3934/jimo.2017082 
[13] 
Vladimir Gaitsgory, Alex Parkinson, Ilya Shvartsman. Linear programming formulations of deterministic infinite horizon optimal control problems in discrete time. Discrete and Continuous Dynamical Systems  B, 2017, 22 (10) : 38213838. doi: 10.3934/dcdsb.2017192 
[14] 
Sie Long Kek, Mohd Ismail Abd Aziz. Output regulation for discretetime nonlinear stochastic optimal control problems with modelreality differences. Numerical Algebra, Control and Optimization, 2015, 5 (3) : 275288. doi: 10.3934/naco.2015.5.275 
[15] 
Zhen Wu, Feng Zhang. Maximum principle for discretetime stochastic optimal control problem and stochastic game. Mathematical Control and Related Fields, 2022, 12 (2) : 475493. doi: 10.3934/mcrf.2021031 
[16] 
Yadong Shu, Bo Li. Linearquadratic optimal control for discretetime stochastic descriptor systems. Journal of Industrial and Management Optimization, 2022, 18 (3) : 15831602. doi: 10.3934/jimo.2021034 
[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 and Continuous Dynamical Systems  B, 2022, 27 (6) : 35153532. doi: 10.3934/dcdsb.2021194 
[19] 
Georgios I. Papayiannis. Robust policy selection and harvest risk quantification for natural resources management under model uncertainty. Journal of Dynamics and Games, 2022, 9 (2) : 203217. doi: 10.3934/jdg.2022004 
[20] 
V.N. Malozemov, A.V. Omelchenko. On a discrete optimal control problem with an explicit solution. Journal of Industrial and Management Optimization, 2006, 2 (1) : 5562. doi: 10.3934/jimo.2006.2.55 
2018 Impact Factor: 1.313
Tools
Metrics
Other articles
by authors
[Back to Top]