![](/images/graphics-bg.png)
Oscillation in Pest Population and Its Management : A Mathematical Study
Joint Authors
Bhattacharyya, Samit
Ghosh, Suma
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We study the role of predation dynamics in oscillation of pest population in insect ecology.
A two-dimensional pest control model (under the use of insecticides) with time delay in predation is considered in this paper.
By the Hopf bifurcation theory, we prove the existence of the stable oscillation of the system.
We also consider the economic viability of the control process.
First we improve the Pontryagin maximum principle (PMP) where the delay in the system is sufficiently small and control function is linear, and then we apply the improved version of PMP to perform the optimal analysis of the pest control model as a special case.
American Psychological Association (APA)
Bhattacharyya, Samit& Ghosh, Suma. 2013. Oscillation in Pest Population and Its Management : A Mathematical Study. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-488502
Modern Language Association (MLA)
Bhattacharyya, Samit& Ghosh, Suma. Oscillation in Pest Population and Its Management : A Mathematical Study. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-488502
American Medical Association (AMA)
Bhattacharyya, Samit& Ghosh, Suma. Oscillation in Pest Population and Its Management : A Mathematical Study. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-488502
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488502