In this paper, we thoroughly investigate the local and 2-local derivations of a flow of quantumgenetic Lotka-Volterra algebras on M2(C) (FQGLV-A). The analysis is mainly geared towards understanding how specific parameter values influence the properties of these derivations. Our findings elucidate the structural intricacies of FQGLV-A algebras and bridge gaps in the current understanding of local and 2-local derivations. We prove that any local derivation is indeed a derivation. Furthermore, the set of2-local deviations coincide with the set of deviations.
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Qaralleh et al. (2024) studied this question.
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