The　generalized　Gause　model　of　Predator-Prey　system　is　proposed　with　all　introduction　of　viral　infection　on　prey　population　and　anorexia　response　on　predator　population.　By　using　the　comparison　theorem　and　constructing　suitable　Lyapunov　function,　we　study　such　modified　Predator-Prey　system　with　almost　periodic　coefficients.　Some　sufficient　conditions　are　obtained　for　the　existence　of　a　unique　almost　periodic　solution.　Numerical　simulations　of　Predator-Prey　system　with　anorexia　response　and　the　one　without　anorexia　response　are　performed.　Our　observations　suggest　that　anorexia　response　on　predator　population　has　a　destabilizing　effect　oil　the　persistence　of　such　eco-epiderniological　Predator-Prey　system.　(c)　2005　Elsevier　Inc.　All　rights　reserved.