Abstract

This paper is devoted to the monotonicity of period function of the planar generalized quadratic Lotka-Volterra systems. By taking two invariant lines as new coordinate axes and making a constant time scale change to transform the systems and simplify the first integrals, it is proved for the case without complex invariant lines that the period function is monotone increasing, which gives a positive answer to some cases of the conjecture proposed by Chicone [4].

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