| This paper is planed to study an impulsive reaction-diffusion periodic n-species food-chain system with Hollingll type. The text is divided into five parts. Part one outlines an introduction to the origin and development of the model. Part two is to make a systematic illustration about the related symbols, lemmas and definitions used for the convenience of the following investigations. Part III, we establish sufficient conditions for the ultimate boundedness, permanence and the extinction of the predatorun of the food-chain system based on the upper and lower solution method and comparison theory of differential equation. Part IV, The conditions for the existence of a unique globally stable periodic solution are presented, by constructing V function. Part V, Numerical illustrations. |
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