In　this　paper,　a　type　of　predator-prey　model　with　simplified　Holling　type　IV　functional　response　is　improved　by　adding　the　nonlinear　Michaelis-Menten　type　prey　harvesting　to　explore　the　dynamics　of　the　predator-prey　system.　Firstly,　the　conditions　for　the　existence　of　different　equilibria　are　analyzed,　and　the　stability　of　possible　equilibria　is　investigated　to　predict　the　final　state　of　the　system.　Secondly,　bifurcation　behaviors　of　this　system　are　explored,　and　it　is　found　that　saddle-node　and　transcritical　bifurcations　occur　on　the　condition　of　some　parameter　values　using　Sotomayor＇s　theorem;　the　first　Lyapunov　constant　is　computed　to　determine　the　stability　of　the　bifurcated　limit　cycle　of　Hopf　bifurcation;　repelling　and　attracting　Bogdanov-Takens　bifurcation　of　codimension　2　is　explored　by　calculating　the　universal　unfolding　near　the　cusp　based　on　two-parameter　bifurcation　analysis　theorem,　and　hence　there　are　different　parameter　values　for　which　the　model　has　a　limit　cycle,　or　a　homoclinic　loop;　it　is　also　predicted　that　the　heteroclinic　bifurcation　may　occur　as　the　parameter　values　vary　by　analyzing　the　isoclinic　of　the　improved　system.　Finally,　numerical　simulations　are　done　to　verify　the　theoretical　analysis.