TY - EJOUR PY - 2023 DA - November TI - Lie algebra method for solving biological population model T2 - Journal of Theoretical and Applied Physics VL - 7 L1 - https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/lie-algebra-method-for-solving-biological-population-model/ DO - 10.1186/2251-7235-7-67 N2 - AbstractIn this paper, the Lie algebraic method is applied to solve biological population models described by time-inhomogeneous birth-death processes. Notwithstanding no obvious symmetry, the solution is expressed by matrix exponentials through suitably generated low-dimensional Lie algebras. This methodology may offer useful insights for other biological and ecological applications.   IS - 1 PB - OICC Press KW - Time inhomogeneous, 17B80, 60J22, 92D25, Birth, Death process, Lie algebra, Population model, Riccati Equation EN -