@article{Lie algebra method for solving biological population model_2023, volume={7}, url={https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/lie-algebra-method-for-solving-biological-population-model/}, DOI={10.1186/2251-7235-7-67}, abstractNote={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.  }, number={1}, journal={Journal of Theoretical and Applied Physics}, publisher={OICC Press}, year={2023}, month={Nov.}, keywords={Population model, Riccati Equation, Time inhomogeneous, 17B80, 60J22, 92D25, Birth, Death process, Lie algebra} }