... 2009.20 W. Wang and J. Shen, “Existence of solutions for anti-periodic boundary value problems,” Nonlinear Analysis, vol. 70, no. 2, pp. 598–605, 2009.21 Y. Li and L. Huang, “Anti-periodic ... M. Fan, and J. Zhang, “Existence of periodic solutions in predator-prey and competitiondynamic systems,” Nonlinear Analysis, vol. 7, no. 5, pp. 1193–1204, 2006.37 D. Oregan, Y. J. Cho, and ... theexistence of the anti-periodic solutions of system 1.1.InSection 4, we give the criteria of global exponential stability of the anti-periodic solutions of system 1.1.InSection 5 ,an example...