Dynamics of N-Species Cooperation Models with Feedback Controls and Continuous Delays

This paper studies N-species Lotka-Volterra cooperation models with feedback controls and continuous delays. Several conditions for the global attractiveness, permanence and periodic solution of the model are obtained by applying the integral inequality techniques, comparison principle and Lyapunov-Razumikhin method. Finally, a numerical example is also carried out to validate the feasibility and practicability of our proposed results.

Automated summary

This paper investigates N-species Lotka-Volterra cooperation models with feedback controls and continuous delays. The global attractiveness, permanence, and periodic solutions of the model are analyzed using integral inequality techniques, a comparison principle, and the Lyapunov-Razumikhin method. Additionally, a numerical example is conducted to validate the feasibility and practicality of the proposed results.