Abstract
An initial formal analysis of the analytic solution (C.M. Evans and G.L. Findley, J. Math. Chem. 25 (1999) 105–110.) to the Lotka–Volterra (LV) dynamical system is presented. A family of first‐order autonomous ordinary differential equations related to the LV system is derived, and the analytic solutions to these systems are given. Invariants for the latter systems are introduced, and a simple transformation which allows these systems to be reduced to Hamiltonian form is provided.
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Evans, C., Findley, G. Analytic solutions to a family of Lotka–Volterra related differential equations. Journal of Mathematical Chemistry 25, 181–189 (1999). https://doi.org/10.1023/A:1019184417025
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DOI: https://doi.org/10.1023/A:1019184417025