An impulsive diffusion predator-prey system in three-species with Beddington-DeAngelis response
This paper is purported to investigate an impulsive diffusion predator-prey system in three-species with Beddington-DeAngelis response in a bounded domain with no flux boundary condition. Employing the upper and lower solution method and compare theory, we investigate the sufficient conditions of the upper ultimate boundedness and permanence of this system which imply that impulse always changes the situation of survival for species. The conditions for the existence of unique globally stable positive periodic solution are also obtained.
permanence periodic solution 35k57 92b05