Simulation and parameterization of longitudinal development in extensive air showers for different hadronic interaction models

The simulation analysis of the Extensive Air Showers (EAS) was executed by exploring longitudinal development employing AIRES system (version 19.04.00) for several hadronic interaction models (SIBYLL, QGSJET, and EPOS) high energies. performed different energies (1017, 1018, 1019) eV two dissimilar primary particles, proton as well iron nuclei, with zenith angles values (0o, 10o, 30o). shower size parameterized using sigmoidal function (Boltzmann model) gave a new four parameters functions energy between extent (1017-1019) eV. comparison among acquired results data (the number particles) along experimental (Pierre Auger experiment) had offered fascinating matching at fixed 1019 vertical EAS showers.