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This work aims to analyze a fifth-order nonlinear ordinary differential equations that describe the glucoregulatory model system based on intravenous injection of glucose via in-vivo experimentation in rats reported previously in the literature. A mathematical analysis shows that existence of an invariant plane condition associated with insulin can determine a type 1 or type 2 diabetes classification. The bounded positive invariant domain (BPID) by applying the Lyapunov direct methoddoi:10.21203/rs.3.rs-323028/v1 fatcat:pigeqgzg5baqjmeddsn56pljcq