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Indexed by:期刊论文

Date of Publication:2014-03-01

Journal:INTERNATIONAL JOURNAL OF BIOMATHEMATICS

Included Journals:SCIE

Volume:7

Issue:2

ISSN No.:1793-5245

Key Words:Geometric approach; order-one periodic solution; semi-continuous dynamic system; stability

Abstract:Integrated pest management (IPM) is a long-term management strategy and has been proved to be more effective in pest control. To well-understand the mechanism and effect of the action of IPM, the geometric theory of the involved semi-continuous dynamic systems is becoming more and more important. In this work, a geometric approach is applied to analyze the stability of the positive order-one periodic solution in semi-continuous dynamic systems. A stability criterion to test the stability of the order-one periodic solution is established. As an application, a stage-structure model involved chemical control is presented to show the efficiency of the proposed method. The sufficient conditions to insure the existence of the periodic solution are provided. In addition, the number and the stability of the periodic solutions are discussed accordingly. The simulations are carried out to verify the results.