Abstract
Invasive species cause huge amounts of environmental, economic, social and
cultural damage in Europe and worldwide. Improving measures to control them is
an ongoing challenge, and mathematical modeling and optimization are becoming increasingly popular as a tool to assist management (1; 2; 4). We analyse
an optimal control model for the control of invasive species which aims to find
the best temporal resource allocation strategy for the population reduction, under
a budget constraint (3). We derive the optimality system in the state and control
variables and we use the phase-space analysis to provide qualitative insights about
the behaviour of the optimal solution. We pay special attention to the nature of the
optimal trajectories in long time intervals and the explore the Turnpike property
of the problem (5). Finally, we introduce a numerical scheme for the solution of
the state-costate nearly-Hamiltonian system, based on exponential-Lawson symplectic Runge-Kutta schemes applied in a forward-backward procedure.
Anno
2020
Autori IAC
Tipo pubblicazione
Altri Autori
Martiradonna, A.