Lie algebra method for solving biological population model

محورهای موضوعی : Journal of Theoretical and Applied Physics

Yilun Shang ¹

1 - SUTD-MIT International Design Center, Singapore University of Technology and Design

تاریخ پذیرش : 1392/09/10 تاریخ انتشار : 1392/09/10

کلید واژه: Lie algebra, Population model, Birth, death process, Time inhomogeneous, Riccati Equation, 17B80, 60J22, 92D25,

چکیده مقاله :

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.