A new transformation for the Lotka–Volterra problem

@article{Evans1999ANT,
  title={A new transformation for the Lotka–Volterra problem},
  author={C. M. Evans and G. L. Findley},
  journal={Journal of Mathematical Chemistry},
  year={1999},
  volume={25},
  pages={105-110}
}
AbstractThe 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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