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J. J. Jiao, X. Z. Meng ang L. S. Chen, “Global Attra- ctivity and Permanence of a Stage-Structured Pest Mana- gement SI Model with Time Delay and Diseased Pest Impulsive Transmission,” Chaos, Solitons and Fractals, Vol. 38, No. 3, 2008, pp. 658-668.

has been cited by the following article:

• TITLE: A Pest Management Epidemic Model with Time Delay and Stage-Structure

  AUTHORS: Yumin Ding, Shujing Gao, Yujiang Liu, Yun Lan

  KEYWORDS: Pest Management, Stage Structure, Impulsive System, Permanence

  JOURNAL NAME: Applied Mathematics, Vol.1 No.3, September 29, 2010

  ABSTRACT: In this paper, an SI epidemic model with stage structure is investigated. In this model, impulsive biological control which release infected pest to the field at a fixed time periodically is considered, and obtained the sufficient conditions for the global attractivity of pest-extinction periodic solution and permanence of the system. We also prove that all solutions of the model are uniformly ultimately bounded. The sensitive analysis on the two thresholds and to the changes of the releasing amounts of infected pest is shown by numerical simulations. Our results provide a reliable tactic basis for the practice of pest management.