Printechapat T.Aiewsakun P.Krityakierne T.Mahidol University2025-08-222025-08-222025-01-01Mathematics and Computers in Simulation (2025)03784754https://repository.li.mahidol.ac.th/handle/123456789/111735Printechapat et al. [1] presented a framework for modeling a bivariate Markov process in which the transition mechanism of one Markov process is constrained by another freely-evolving Markov process. Definition 3.3 and the discussion immediately following the definition are only for infinitesimally small [Formula presented]. Proposition 3.4 and Theorem 3.5 are still valid with this modification. Tanes Printechapat: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft, Writing – review & editing. Pakorn Aiewsakun: Conceptualization, Formal analysis, Investigation, Methodology, Resources, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing. Tipaluck Krityakierne: Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Resources, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing.MathematicsComputer ScienceErratumSCOPUS10.1016/j.matcom.2025.06.0342-s2.0-105013112879