An analysis of an impulsive stage structured integrated pest management model with refuge effect. (June 2018)

• Record Type: Journal Article
• Authors: Akman, Olcay; Comar, Timothy; Henderson, Miranda
• Is Part Of: Chaos, solitons and fractals. Volume 111(2018)
• Page Start: 44
• Page End: 54
• Publication Date: 2018-06
• Subjects: Impulsive differential equations -- Eradication -- Permanence -- Predator-prey interaction -- Biological pest control -- Chemical pest control; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2018.03.039
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: Integrated pest management (IPM) utilizes a combination of control methods in order to control pest populations in agricultural systems. Here, we construct a stage structured impulsive integrated pest management with added prey refuge. By considering the ability of pests to hide from management strategies, we establish properties for pest eradication and permanence of the proposed system. Simulations of eradicated and permanent solutions are also included in order to illustrate the behavior of pest and predator populations.