Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 97608, 11 pages
doi:10.1155/2007/97608

Stage-Structured Impulsive SI Model for Pest Management

Abstract

An SI epidemic model with stage structure is investigated. In the model, impulsive biological control is taken, that is, we release infected pests to the field at a fixed time periodically. We get a sufficient condition for the global asymptotical stability of the pest-eradication periodic solution (0,0,I˜(t)), and a condition for the permanence of the system. At last, a brief discussion shows that our results will be helpful for pest management.