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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Resource and Pest Management through Continuous and Impulsive Control Strategies
verfasst von : Zhong Min, Li Changguo, Yuan Xuemei
Erschienen in: Recent Advances in Computer Science and Information Engineering
Verlag: Springer Berlin Heidelberg
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In this paper, we propose two mathematical models concerning continuous and, respectively, impulsive pest control strategies. In the case in which a continuous control is used, it is shown that the model admits a stable susceptible pest-eradication equilibrium under appropriate conditions which involve parameter estimations. In the case in which an impulsive control is used, it is observed that there exists a asymptotically stable susceptible pest-eradication periodic solution on condition that the amount of infective pests released periodically is larger than some critical value.