Abstract
The classical functional response function is generalized to a generalized functional response function for a three-group mixed non-autonomous predator system with both predator and competitive relationships. Through the constructor and the qualitative knowledge of ordinary differential equations, this paper studies the continuity and global asymptotic stability of the system and further discusses the existence and stability of the positive almost periodic solution of the system, and obtains sufficient conditions for the existence of unique, globally asymptotically stable positive almost periodic solutions of the system, and the existing conclusions has been extended to a large extent.
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