Mathematical analysis of harvested predator-prey system with prey refuge and intraspecific competition

In this paper, a predator-prey relationship in the presence of prey refuge was studied. The analysis dependence locally stable equilibrium points on parameters problem carried out. Bifurcation and limit cycles for model were analyzed to show dynamical behaviour system. results showed that system is at constant m = 0.3 harvesting rate H 0.3. However, increasing decreasing or vice versa, remains stable. It further observed ≥ 0.78, predator population undergoes extinction. Therefore, found be bifurcation parameter 0.78 value.
 Keywords: Prey refuge, bifurcation, harvesting, intraspecific competition, phase portrait