Oscillations and coexistence generated by discrete delays in a two-species competition model

One of the shortcomings classical Lotka-Volterra competition model is that both species' births are assumed to be instantaneous, whereas developmental and maturation processes may cause time delays. We extend a delayed based on single species in this paper. The effects two discrete delays outcomes investigated. Our theoretical numerical results show can loss stability equilibria emergence periodic solutions (i.e., population density oscillations) via Hopf bifurcation, lead exclusion by changing coexistence equilibrium, boost even if equilibrium point does not exist.