Teng, Zhidong Some new results of two-dimensional periodic Lotka-Volterra systems. (Chinese. English summary) Zbl 0913.34038 Acta Math. Sci. (Chin. Ed.) 18, No. 2, 169-175 (1998). Summary: The author studies boundedness and persistence of solutions and existence and global stability of positive periodic solutions to two-dimensional periodic Lotka-Volterra predator-prey systems. He extends the obtained results to two-dimensional periodic Lotka-Volterra predator-prey systems with prey supplement and two-dimensional periodic Lotka-Volterra competition systems. A series of new criteria is obtained. The main results in [S. Ahmad, J. Math. Anal. Appl. 127, 377-387 (1987; Zbl 0648.34037), C. Alvarez, A. C. Lazer, J. Aust. Math. Soc., Ser. B 28, 202-219 (1986; Zbl 0625.92018)] are improved and extended. Cited in 1 Document MSC: 34C25 Periodic solutions to ordinary differential equations 92D25 Population dynamics (general) Keywords:boundedness; persistence; existence; global stability; positive periodic solutions; Lotka-Volterra predator-prey systems; periodic Lotka-Volterra competition systems Citations:Zbl 0648.34037; Zbl 0625.92018 PDFBibTeX XMLCite \textit{Z. Teng}, Acta Math. Sci. (Chin. Ed.) 18, No. 2, 169--175 (1998; Zbl 0913.34038)