In this paper, we give through tile analysis for periodic Bautin chemical oscillation system. It is shown that, there exists a unique positive periodic solution of such a system.
The periodic Volterra predator-prey model with undercrowding effect is considered. A set sufficient conditions for the existence of the globally asymptotically stable positive periodic solution which is easy to verify is obtained. Finally, an example is given to illustrate the feasibility of these conditions.
This paper investigates a nonautonomous Volterra predator Prey system with undercrowding effect. A set of sufficient conditions for the existence and globally asymptotic stability of positive solution, which is easy to be verified, is obtained.