×

Periodic solutions and stability of impulsive competitive systems with infinitely distributed delays and feedback controls. (Chinese. English summary) Zbl 1199.34445

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.

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)
PDFBibTeX XMLCite