Examinando por Autor "Sivoli, Zoraida"

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A lemma on C0-semigroups on time scales and approximate controllability of the heat dynamic equation
(Quaestiones Mathematicae, 2020) Bohner, Martin; Sivoli, Zoraida; Leiva, Hugo
In this paper, we present a lemma that allows us to characterize a broad class of C0-semigroups on time scales, which can be applied to prove existence and uniqueness of solutions of systems of partial differential equations where the time domain is a time scale. The result obtained is applied to study the controllability of the heat equation on time scales. The lemma presented in this paper can be seen as a unification of the one proved by H. Leiva in [28], for semigroups in [0,∞).
Qualitative Analysis of a Leslie-GowerPredator-Prey Model with Delay Revista: Bolletin of computational Applied Mathematics
(Applications and Applied Mathematics: An International Journal (AAM), 2021-06) Sivoli, Zoraida
The article aims to study a modified Leslie-Gower predator-prey model with Allee effect II, affect ing the functional response with the assumption that the extent to which the environment provides protection to both predator and prey is the same. The model has been studied analytically as well as numerically, including stability and bifurcation analysis. Compared with the predator-prey model without Allee effect, it is found that the weak Allee effect II can bring rich and complicated dy namics, such as the model undergoes to a series of bifurcations (Homoclinic, Hopf, Saddle-node and Bogdanov-Takens). The existence of Hopf bifurcation has been shown for models with (with out) Allee effect and the local existence and stability of the limit cycle emerging through Hopf bifurcation has also been studied. The phase portrait diagrams are sketched to validate analytical and numerical findings. Extraído de: https://digitalcommons.pvamu.edu/cgi/viewcontent.cgi?article=1126&context=aam