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

JIAO Jian-jun; CHEN Lan-sun

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(4): 487-496

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.

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.

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

JIAO Jian-jun^1,2,
CHEN Lan-sun¹

1.
Department of Applied Mathematics, Dalian University of Technology, Dalian, Liaoning 116024, P. R. China;

Received Date: 2006-08-11
Rev Recd Date: 2007-01-23
Publish Date: 2007-04-15

Abstract

Abstract

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.
- impulsive,
- infective,
- chemical control,
- uniform permanence,
- pest-extinction

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References(34)

References

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