Positive periodic solution for generalized Basener-Ross model

Abstract

This paper is devoted to the existence of at least one positive periodic solution for generalized Basener-Ross model with time-dependent coefficients. Our proof is based on Manásevich-Mawhin continuation theorem, Leray-Schauder alternative principle, fixed point theorem in cones. Moreover, we obtain that there are at least two positive periodic solutions for this model.2010 Mathematics Subject Classification. Primary: 34B16, 34B18; Secondary: 34C25.