Modelling optimal pest control of non-autonomous predator–prey interaction
Rebelo, P. Rebelo
;
Rosa, S.
; Silva, C.
Mathematical Modelling of Natural Phenomena Vol. 17, Nº 28, pp. 1 - 19, August, 2022.
ISSN (print): 0973-5348
ISSN (online): 1760-6101
Scimago Journal Ranking: 0,45 (in 2022)
Digital Object Identifier: 10.1051/mmnp/2022033
Abstract
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.
