Modelagem matemática aplicada ao controle da invasão do peixe-leão (pterois volitans)

Abstract

In this study we intend to discuss the possible impacts caused by the lionfish, a marine fish of the Pterois volitans species, which over recent years has been responsible for causing damage to several native marine species, due to its high reproduction capacity, and for presenting a high predation rate. In this context, initially two mathematical models will be presented, one with density-dependent capture, and the other with constant capture, where situations will be demonstrated and compared to predict a possible scenario in which capture is greater than the growth of the species. In practical terms, a completely efficient capture method is not yet known, however there are studies that aim to develop a drone capable of capturing lionfish; The proposal is that this equipment will be able to capture 95% of lionfish in each delimited area, having the ability to distinguish lionfish from other species that may be present in the same location. Next, another study will be presented that describes the growth dynamics of the species considering the introduction of a variety of lionfish with YY chromosomes, called supermales, resulting from modified lionfish with inverted sex containing two Y chromosomes, with the objective interfering with the reproductive process of the species Pterois volitans. Scenarios obtained by numerical simulations will illustrate the dynamics of the models presented.