Global Stability Analysis of a Three Species Ammensalism Model with Harvesting Affect

The Present model is devoted to an analytical investigation of affect of Harvesting on three species syn-ecological model during which the species of 1st kind (N1) is ammensal on thespecies of 2nd kind (N2), the species of 2rd kind (N2) is on the species of 3rd kind (N3) and thespecies of 3rd kind (N3) is on the species of 1st kind (N1).Herespecies of 1st kind (N1) and species of 2nd kind (N2) are harvested at a rate proportional to their population sizes. Co-existing state is known and its native stability is mentioned. Solutions of linearized equation are applied. Further, with the help of suitable Lyapunov function global stability was discussed. In support of analytical results, numerical simulations were carried out using Mat Lab.