GLOBAL ATTRACTIVITY AND PERMANENCE OF A STAGE-STRUCTURED PEST MANAGEMENTSIMODEL WITH TIME DELAY AND DISEASED PESTS IMPULSIVE TRANSMISSION

Jianjun Jiao () and Lansun Chen ()
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Jianjun Jiao: School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang 550004, People's Republic of China;
Lansun Chen: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China

Advances in Complex Systems (ACS), 2007, vol. 10, issue 04, 479-494

Abstract: In this work, we consider a stage-structured pest managementSImodel with time delay and diseased pests impulsive transmission. Sufficient conditions which guarantee the global attractivity of pest-extinction periodic solution and permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactic basis for the practical pest management.

Keywords: Stage-structured; time delay; impulsive; global attractivity; permanence; pest-extinction (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0219525907001240

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