| Issue |
Math. Model. Nat. Phenom.
Volume 17, 2022
Ecology and evolution
|
|
|---|---|---|
| Article Number | 28 | |
| Number of page(s) | 19 | |
| DOI | https://doi.org/10.1051/mmnp/2022033 | |
| Published online | 18 August 2022 | |
Research Article
Modelling optimal pest control of non-autonomous predator–prey interaction
1
CMA-UBI and Department of Mathematics, University of Beira Interior, Covilhã 6201-001, Portugal
2
Instituto de Telecomunicações and Department of Mathematics, University of Beira Interior, Covilhã 6201-001, Portugal
* Corresponding author: rosa@ubi.pt
Received:
23
March
2022
Accepted:
19
July
2022
An ecological system comprehended by a pest and its natural enemy, the predator, is considered. Parameters of system are time dependent in order to accompany their variations associated to climate evolutions. Combining the use of pesticides and of extra supply of food to predators, we propose the eradication of pest through optimal control having those two measures as controls. Is established that the resulting problem has a unique solution. Uniqueness is obtained on the whole interval using a recursive argument. The usefulness of model to tackle the pest population is backed by numerical simulation results.
Mathematics Subject Classification: 92D30 / 37B55 / 34H05
Key words: Eco-epidemic model / non-autonomous systems / optimal control / numerical simulations
© The authors. Published by EDP Sciences, 2022
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