Abstract
The Lotka–Volterra dynamical system \(\left( {\dot x_1 = ax_1 - bx_1 x_2 ,\;\dot x_2 = - cx_2 + bx_1 x_2 } \right)\) is reduced to a single second‐order autonomous ordinary differential equation by means of a new variable transformation. Formal analytic solutions are presented for this latter differential equation.
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Evans, C., Findley, G. A new transformation for the Lotka–Volterra problem. Journal of Mathematical Chemistry 25, 105–110 (1999). https://doi.org/10.1023/A:1019172114300
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DOI: https://doi.org/10.1023/A:1019172114300