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The purpose of this paper is twofold: first we want to introduce a new typeof hadronic interaction model (NEXUS), which has a much more solid theoreticalbasis as, for example, presently used models like QGSJET and VENUS, and ensurestherefore a much more reliable extrapolation towards high energies. Secondly,we want to promote an extensive air shower (EAS) calculation scheme, based oncascade equations rather than explicit Monte Carlo simulations, which is veryaccurate in calculations of main EAS characteristics and extremely fastconcerning computing time. We employ the NEXUS model to provide the necessarydata on particle production in hadron-air collisions and present the averageEAS characteristics for energies 10^14 - 10^17 eV. The experimental data of thecasa-blanka group are analyzed in the framework of the new model.Comment: 15 pages, 8 figure

Cosmic ray air shower characteristics in the framework of the parton-based Gribov-Regge model NEXUS