We develop the theory of optimal control for a system of integrodifference equations modelling a pest-pathogen system. Integrodifference equations incorporate continuous space into a system of discrete time equations. We design an objective functional to minimize the damaged cost generated by an invasive species and the cost of controlling the population with a pathogen. Existence, characterization, and uniqueness results for the optimal control and corresponding states have been completed. We use a forwardbackward sweep numerical method to implement our optimization which produces spatio-temporal control strategies for the gypsy moth case study.
|Number of pages||25|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|Early online date||1 Jun 2015|
|Publication status||Published - 1 Aug 2015|
- Integrodifference equations
- Invasive species
- Optimal control