Positive Periodic Solutions of A Generalized Gilpin-Ayala Competitive System With Time Delays

Existence of positive periodic solutions for a class of Gilpin-Ayala ecological models with discrete and distributed time delays

Multiple positive periodic solutions for a food-limited two-species Gilpin-Ayala competition patch system with periodic harvesting terms

Global analysis of almost periodic positive solution of a multispecies discrete Gilpin-Ayala mutualism system with feedback controls

This paper discusses a multispecies discrete Gilpin-Ayala mutualism system with feedback controls. We firstly obtain the permanence of the system. Assuming that the coefficients in the system are almost periodic positive sequences, we obtain the sufficient conditions for the existence of a unique almost periodic positive solution which is globally attractive.

Persistence in mean and extinction on stochastic competitive Gilpin-Ayala systems with regime switching

We are interested in the persistence in mean and extinction for a stochastic competitive Gilpin-Ayala system with regime switching. Based on the stochastic LaSalle theorem and the space-decomposition method, we derive generalized sufficient criteria on persistence in mean and extinction. By constructing a novel Lyapunov function we establish sufficient criteria on partial persistence in mean an...

Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs

This paper deals with fuzzy cellular neural networks (FCNNs) with leakage delays and proportional delays. Applying the differential inequality strategy, fixed point theorem and almost periodic function principle, some sufficient criteria which ensure the existence and global attractivity of a unique almost periodic solution for fuzzy cellular neuralnetworks with leakage delays and p...