Yang, Zhichun; Xu, Daoyi Periodic solutions and stability of impulsive competitive systems with infinitely distributed delays and feedback controls. (Chinese. English summary) Zbl 1199.34445 Acta Math. Appl. Sin. 32, No. 1, 132-142 (2009). Summary: A class of impulsive competitive systems with infinitely distributed delays and feedback controls is considered. By using the continuation theorem of coincidence degree theory, homotopy invariance property and Lyapunov’s approach, some sufficient conditions ensuring the existence and stability of positive periodic solutions of the system are obtained. Cited in 1 Document MSC: 34K60 Qualitative investigation and simulation of models involving functional-differential equations 34K45 Functional-differential equations with impulses 34K13 Periodic solutions to functional-differential equations 34K20 Stability theory of functional-differential equations 92D25 Population dynamics (general) Keywords:feedback control; competition system; periodic solution; stability PDFBibTeX XMLCite \textit{Z. Yang} and \textit{D. Xu}, Acta Math. Appl. Sin. 32, No. 1, 132--142 (2009; Zbl 1199.34445)