10.1186/2251-7235-7-67

Lie algebra method for solving biological population model

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  • OICC Press Authors*1,
  1. Various OICC Press Authors

Published in Issue 2023-11-17

How to Cite

1.
Press Authors O. Lie algebra method for solving biological population model. J Theor Appl phys. 2023 Nov. 17;7(1). Available from: https://oiccpress.com/jtap/article/view/2123
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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

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