Abstract
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.
Original language | English |
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Pages (from-to) | 1759-1783 |
Number of pages | 25 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 20 |
Issue number | 6 |
Early online date | 1 Jun 2015 |
DOIs | |
Publication status | Published - 1 Aug 2015 |
Keywords
- Integrodifference equations
- Invasive species
- Optimal control
- Pest-pathogen