A new method to construct model structures from left Frobenius pairs in extriangulated categories

<abstract><p>Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact triangulated categories. In this paper, we first introduce the concept left Frobenius pairs on an extriangulated category $ \mathcal{C} $, then establish bijective correspondence between certain cotorsion in $. As application, some new admissible model structures are established from under conditions, which generalizes result Hu et al. (J. Algebra 551 (2020) 23–60).</p></abstract>