Dynamics in a Competitive Nicholson’s Blowflies Model with Continuous Time Delays

In this study, we examine a competitive Nicholson blowflies model with time-varying coefficients and continuous time delays. the case of coincidence degree theory, constructing appropriate Lyapunov functionals using several inequalities, conditions on extinction, periodic solution, permanence, global attractiveness system are derived. Finally, three examples numerical simulations presented to validate practicability feasibility obtained theoretical results.