Abstract
A classical Lotka-Volterra system of two rst-order nonlinear dierential equations modeling predator prey competition in population biology has been known to have an algebraic relation between two dependent variables for its periodic behavior in the phase plane since pioneering works by Lotka [12] on chemical reaction, Lotka [13] on parasitology, and Volterra [24] on shing activity in the upper Adriatic Sea. The techniques of Volterra [24], Hsu [10], Waldvogel [25, 26], Rothe [19], and Shih [22] in obtaining an integral representation of the period of Lotka-Volterra system are surveyed. These integrals are then shown to be equivalent.
Citation
Shagi-Di Shih. "THE PERIOD OF A LOTKA-VOLTERRA SYSTEM1." Taiwanese J. Math. 1 (4) 451 - 470, 1997. https://doi.org/10.11650/twjm/1500406122
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