Dynamics analysis and control optimization of a pest management predator–prey model with an integrated control strategy

Kaibiao Sun, Tonghua Zhang and Yuan Tian

Applied Mathematics and Computation, 2017, vol. 292, issue C, 253-271

Abstract: Pest management is a complex issue in real applications, and a practical program in pest control in general involves two pest thresholds, where the biological control and chemical control are activated respectively. Aiming at providing a good balance between the biological control and chemical control, this work presented an integrated pest management predator–prey model, where the yield of releases of predator and the strength of pesticide spraying are linearly dependent on the selected control level. Firstly, to determine the frequency of spraying chemical pesticide and releasing of predator, the existence of the order-1 periodic orbit of the proposed model is discussed by the successor function method. And then, to ensure a certain robustness of adopted control, the stability of the order-1 periodic orbit is verified by a stability criterion extracted for a general semi-continuous dynamical system. In addition, to minimize the total cost (i.e. culturing predators and spraying pesticide) in pest control, an optimization problem is formulated and the optimum pest control level is obtained. At last, to complement the theoretical results, the numerical simulations with a specific model are carried out step by step.

Keywords: Integrated pest management; Optimization; Order-1 periodic orbit; Predator–prey system; Stability (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316304842
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:292:y:2017:i:c:p:253-271

DOI: 10.1016/j.amc.2016.07.046

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().