JIAO Jian-jun, CHEN Lan-sun. Nonlinear Incidence Rate of a Pest Management S-I Model With Biological and Chemical Control Concern[J]. Applied Mathematics and Mechanics, 2007, 28(4): 487-496.
Citation: JIAO Jian-jun, CHEN Lan-sun. Nonlinear Incidence Rate of a Pest Management S-I Model With Biological and Chemical Control Concern[J]. Applied Mathematics and Mechanics, 2007, 28(4): 487-496.

Nonlinear Incidence Rate of a Pest Management S-I Model With Biological and Chemical Control Concern

  • Received Date: 2006-08-11
  • Rev Recd Date: 2007-01-23
  • Publish Date: 2007-04-15
  • A pest management S-I model with impulsive releases of infective pests and spraying pesticides is proposed and investigated. It was proved that all solutions of the model are uniformly ultimately bounded. The sufficient conditions of globally asymptotic stability periodic solution of pest-extinction and permanence of the model were also obtained.The approach of combining impulsive releasing infective pests with impulsive spraying pesticides provides reliable tactical basis for the practical pest management.
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