|Table of Contents|

Integrated Pest Management Model with SprayingPesticides and Releasing Infective Pests(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2017年02期
Page:
16-
Research Field:
·数学·
Publishing date:

Info

Title:
Integrated Pest Management Model with SprayingPesticides and Releasing Infective Pests
Author(s):
Xu Weijian1; Chen Shidong2; Pang Guoping1
(1.College of Mathematics and Statistics,Guangxi Universities Key Lab of Complex System Optimization andBig Data Processing,Yulin Normal University,Yulin 537000,China)(2.College of Electronic and Communication Engineering,Yulin Normal University,Yulin 537000,China)
Keywords:
integrated pest management model; impulsive control; global stability; releasing infective pests; spraying pesticides
PACS:
O175.12
DOI:
10.3969/j.issn.1001-4616.2017.02.004
Abstract:
In this paper,a dynamical system of integrated pest management with impulsive birth and impulsive control is investigated. Using the Floquet theorem of impulsive differential equations and the comparison theorem,we obtain the conditions of the globally asymptotical stability of susceptible-pest-eradication periodic solution,and formulate the persistence of the system by numerical simulations. We also discuss the dynamical behaviors of the continuous control system,and obtain the conditions of pest eradication and pest existence as well as the threshold of pest eradication.

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Last Update: 2017-06-30