Constitutive relations are fundamental and essential to characterize physical systems. By utilizing the κ-deformed functions, some constitutive relations are generalized. We here show some applications of the Kaniadakis distributions, based on the inverse hyperbolic sine function, to some topics belonging to the realm of statistical physics and natural science.
Keywords: Gompertz rule; Lotka–Volterra equations; constitutive relations; contact density dynamics; κ-deformed functions.