Modelling optimal pest control of non-autonomous predator-prey interaction

被引：1
|
作者：
Rebelo, Paulo [1 ,2 ]
Rosa, Silverio [2 ,3 ]
Silva, Cesar M. [2 ,3 ]
机构：
[1] Univ Beira Interior, CMA UBI, P-6201001 Covilha, Portugal
[2] Univ Beira Interior, Dept Math, P-6201001 Covilha, Portugal
[3] Univ Beira Interior, Inst Telecomunicacoes, P-6201001 Covilha, Portugal
来源：
MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2022年 / 17卷
关键词：
Eco-epidemic model; non-autonomous systems; optimal control; numerical simulations; VACCINATION; POPULATION; DYNAMICS;
D O I：
10.1051/mmnp/2022033
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
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页数：19
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