Further Studies on the Dynamics of a Lotka–Volterra Competitor–Competitor–Mutualist System with Time-Varying Delays

In this paper, a Lotka–Volterra (L-V) competitor–competitor–mutualist system with time-varying delays is studied. Some dynamical behaviors of the considered are investigated. Firstly, we obtain boundedness, permanence and periodic solution using comparison principle differential equations inequality estimation method. Then, global attractiveness analyzed by multiple Lyapunov functionals. Meanwhile, existence attractivity positive solutions derived. third section, in order to validate practicability feasibility obtained theoretical results, conducted numerical simulations MATLAB function ddesd. Finally, fourth section where conclusions drawn.