The Qualitative Analysis Of Holling Ii Model With Constant Harvesting Of Prey And Predators

In this paper an qualitative analysis to a prey and-predators with constant prey harvesting under Holling II functional response system is given.Firstly,the existence for equilibrium points and their properties are discussed.Secondly,some conditions for the nonexistence of limit cycle are given.thirdly,some conditions for the existence and uniqueness of limit cycle are derive.Finally, it is proved that the system is permanent under appropriate conditions.Furthuer if the system is periodic,a set of easily verified sufficient conditions that guarantee the existence,uniqueness and global attractivity of strictly positive periodic solutions derived...