Periodic solution for intraguild predation system with impulsive and strong Allee effect

With strong Allee effect and a periodic coefficient, an impulsive intraguild predation model is established．Persistence of the model is proved．Existence of periodic solutions is studied using Mawhin’s coincidence degree theory and analysis tools．The stability of periodic solutions is discussed．Sufficient conditions are obtained for existence and global stability of positive periodic solutions．Validity of theoretical results is verified by numerical simulations．