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 |
|---|---|
| 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
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Profiles
Jane White
- Department of Mathematical Sciences - Senior Lecturer & Head of Natural Sciences Programme
- Centre for Mathematical Biology
- Centre for Networks and Collective Behaviour
- EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
Person: Research & Teaching
Cite this
Martinez, M. V., Lenhart, S., & White, K. A. J. (2015). Optimal control of integrodifference equations in a pest-pathogen system. Discrete and Continuous Dynamical Systems - Series B, 20(6), 1759-1783. https://doi.org/10.3934/dcdsb.2015.20.1759