Predator-prey　interactions　are　among　the　most　common　and　crucial　ecological　phenomena　in　nature.　Over　the　course　of　long-term　evolution,　prey　populations　have　developed　various　anti-predation　strategies　to　cope　with　the　threat　of　predators,　with　population　dispersal　being　one　of　the　most　common　strategies.　In　traditional　ecological　models,　the　prey　population　is　typically　constrained　by　direct　predation.　However,　an　increasing　body　of　empirical　evidence　suggests　that　the　fear　effect　from　the　predator　significantly　alters　the　physiological　behavior　of　prey,　leading　to　a　decrease　in　reproduction　rate　and　an　increase　in　mortality　rate.　In　this　paper,　we　investigate　a　predator-prey　system　incorporating　asymmetric　dispersal　and　the　fear　effect,　which　influences　the　birth　and　death　rates　of　the　prey　species.　We　rigorously　establish　the　existence　and　local　stability　of　equilibrium　points,　derive　sufficient　conditions　for　global　stability,　and　prove　the　occurrence　of　a　transcritical　bifurcation　at　the　boundary　equilibrium.　Our　analysis　reveals　an　optimal　dispersal　rate　that　maximizes　prey　population　density;　beyond　this　threshold,　increased　dispersal　drives　both　populations　to　extinction.　Furthermore,　the　fear　effect　and　its　maximum　cost　exhibit　significant　negative　impacts　on　predator　abundance,　though　they　do　not　alter　the　equilibrium　stability　or　existence.　These　findings　provide　critical　insights　for　designing　habitat　corridors　in　endangered　species　conservation　and　underscore　the　pivotal　role　of　prey　dispersal　in　shaping　population　dynamics.