Allee optimal control of a system in ecology
DOI10.1142/S021820251840002XzbMath1411.93198OpenAlexW2799606422WikidataQ129748168 ScholiaQ129748168MaRDI QIDQ4630556
Jia-Min Zhu, Enrique Zuazua, Emmanuel Trélat
Publication date: 27 March 2019
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021820251840002x
optimal controlstochastic processtravelling wavediffusion-reaction equationinteracting particle systemAllee effectecological systemdirect computational methodpiecewise control strategy
Stochastic programming (90C15) Reaction-diffusion equations (35K57) Optimal stochastic control (93E20) Ecology (92D40) Stochastic systems in control theory (general) (93E03)
Related Items (11)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Modeling Language for Mathematical Programming
- A Fokker-Planck control framework for multidimensional stochastic processes
- Towards fully probabilistic control design
- Markovian models and algorithms
- Derivation of hyperbolic models for chemosensitive movement
- Reaction-diffusion equations for interacting particle systems
- Escape from the unstable equilibrium in a random process with infinitely many interacting particles
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- Mathematical physiology
- Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
- Propagating waves in discrete bistable reaction-diffusion systems
- Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
- Sparse optimal control of the Schlögl and Fitzhugh-Nagumo systems
- Kinetic models for chemotaxis and their drift-diffusion limits
- Parabolic equations in biology. Growth, reaction, movement and diffusion
- Allee dynamics and the spread of invading organisms
- Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign
- Local controllability of 1D Schrödinger equations with bilinear control and minimal time
- Reduction to a Single Closed Equation for 2-by-2 Reaction-Diffusion Systems of Lotka--Volterra Type
- From the Microscale to Collective Crowd Dynamics
- Approximating travelling waves by equilibria of non local equations
- A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
- Multiscale Modeling of Granular Flows with Application to Crowd Dynamics
- Optimal boundary control of a system of reaction diffusion equations
- Crabgrass, measles and gypsy moths: An introduction to modern probability
- A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
- A Primal-Dual Interior-Point Method for Nonlinear Programming with Strong Global and Local Convergence Properties
- Mathematical tools for kinetic equations
- The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems
- The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
- Phase portrait control for 1D monostable and bistable reaction–diffusion equations
- Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations
- Interior Methods for Nonlinear Optimization
- Controllability properties for the one-dimensional Heat equation under multiplicative or nonnegative additive controls with local mobile support
- Finite-time blow-up in a degenerate chemotaxis system with flux limitation
- GLOBAL STEADY-STATE STABILIZATION AND CONTROLLABILITY OF 1D SEMILINEAR WAVE EQUATIONS
- Numerical optimization. Theoretical and practical aspects. Transl. from the French
- From reactive Boltzmann equations to reaction-diffusion systems
This page was built for publication: Allee optimal control of a system in ecology