Positive periodic solutions of a discrete ratio-dependent predator-prey model with impulsive effects

Authors

  • Cosme Duque Universidad de Los Andes, Facultad de Ciencias, Departamento de Matem´aticas, Mérida, Venezuela
  • José L. Herrera Diestra Universidad de Los Andes, CeSiMo, M´erida, Venezuela, and Universidade Estadual Paulista, Instituto de Física Teórica, S˜ao Paulo, Brazil

DOI:

https://doi.org/10.33044/revuma.2058

Abstract

Studies of the dynamics of predator-prey systems are abundant in the literature. In an attempt to account for more realistic models, previous studies have opted for the use of discrete predator-prey systems with ratio-dependent functional response. In the present research we go a step further with the inclusion of impulsive effects in the dynamics. More concretely, by assuming that the coefficients involved in the system and the impulses are periodic, we obtain sufficient conditions for the existence of periodic solutions. We present some numerical examples to
illustrate the effectiveness of our results.

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Published

2022-05-07

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