Lie algebra method for solving biological population model

Authors

Abstract

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.

Keywords

• Time inhomogeneous
• 17B80
• 60J22
• 92D25
• Birth
• Death process
• Lie algebra
• Population model
• Riccati Equation