[BOOK][B] Optimal control applied to biological models
S Lenhart, JT Workman - 2007 - taylorfrancis.com
From economics and business to the biological sciences to physics and engineering,
professionals successfully use the powerful mathematical tool of optimal control to make …
professionals successfully use the powerful mathematical tool of optimal control to make …
Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control
This paper develops local stability analysis for deterministic optimal control theory for
recursive infinite horizon intertemporal optimization problems where there is a continuum of …
recursive infinite horizon intertemporal optimization problems where there is a continuum of …
Optimal control of a competitive system with age-structure
We investigate optimal control of a first order partial differential equation (PDE) system
representing a competitive population model with age structure. The controls are the …
representing a competitive population model with age structure. The controls are the …
Optimal harvesting in an age-structured predator–prey model
We investigate optimal harvesting control in a predator–prey model in which the prey
population is represented by a first-order partial differential equation with age-structure and …
population is represented by a first-order partial differential equation with age-structure and …
Optimal control of a nutrient-phytoplankton-zooplankton-fish system
MR Garvie, C Trenchea - SIAM journal on control and optimization, 2007 - SIAM
We consider the mathematical formulation, analysis, and numerical solution of an optimal
control problem for a nonlinear “nutrient-phytoplankton-zooplankton-fish” reaction-diffusion …
control problem for a nonlinear “nutrient-phytoplankton-zooplankton-fish” reaction-diffusion …
[BOOK][B] Spatial ecology
Mathematical models and concepts have been important in ecology since its inception as a
discipline. However, symbiosis between the disciplines of mathematics and ecology on any …
discipline. However, symbiosis between the disciplines of mathematics and ecology on any …
[BOOK][B] Stabilization, optimal and robust control: Theory and Applications in Biological and Physical Sciences
A Belmiloudi - 2008 - books.google.com
Systems governed by nonlinear partial differential equations (PDEs) arise in many spheres
of study. The stabilization and control of such systems, which are the focus of this book, are …
of study. The stabilization and control of such systems, which are the focus of this book, are …
Optimal control of vaccination in an age-structured cholera model
A cholera model with continuous age structure is given as a system of hyperbolic (first-order)
partial differential equations (PDEs) in combination with ordinary differential equations …
partial differential equations (PDEs) in combination with ordinary differential equations …
Optimal control of harvesting for age-dependent predator-prey system
C Zhao, M Wang, P Zhao - Mathematical and computer modelling, 2005 - Elsevier
In this paper, we consider the optimal harvesting problems for age-dependent predatorprey
system. The existence and uniqueness of solution for the system are proven using the …
system. The existence and uniqueness of solution for the system are proven using the …
Optimal fish harvesting for a population modeled by a nonlinear parabolic partial differential equation
As the human population continues to grow, there is a need for better management of our
natural resources in order for our planet to be able to produce enough to sustain us. One …
natural resources in order for our planet to be able to produce enough to sustain us. One …