The cyclicity and period function of a class of quadratic reversible Lotka–Volterra system of genus one

In this paper, we investigate a class of quadratic reversible Lotka–Volterra system of genus one z ˙ = i z + z 2 + b z ¯ 2 with b = 3 / 5 . It is proved that the cyclicity of the period annulus under quadratic perturbations is equal to two. Moreover, we prove that the period function of its period trajectories is monotone increasing.