Modelling and Analysis of a Host-Parasitoid Impulsive Ecosystem under Resource Limitation
Joint Authors
Tang, Guangyao
Wang, Peipei
Qin, Wenjie
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-14
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
With a long history of theoretical development, biological model has focused on the interaction of a parasitoid and its host.
In this paper, two Nicholson-Bailey models with a nonlinear pulse control strategy are proposed and analyzed to examine how limited resource affects the pest control.
For a fixed-time discrete impulsive model, the existence and stability of the host-free periodic solution are derived.
Threshold analysis suggests that it is critical to release parasitoid in an optimal number in case of the happening of the intra-specific competition, which will seriously affect the pest control.
Bifurcation analysis reveals that the model exists complex dynamics including period doubling, chaotic solutions, coexistence of multiple attractors, and so on.
For a state-dependent discrete impulsive model, the numerical simulations for bifurcation analysis are studied, the results show that how the key parameters and the initial densities of both populations affect the pest outbreaks, and consequently the relative biological implications with respect to pest control are discussed.
American Psychological Association (APA)
Wang, Peipei& Qin, Wenjie& Tang, Guangyao. 2019. Modelling and Analysis of a Host-Parasitoid Impulsive Ecosystem under Resource Limitation. Complexity،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1133221
Modern Language Association (MLA)
Wang, Peipei…[et al.]. Modelling and Analysis of a Host-Parasitoid Impulsive Ecosystem under Resource Limitation. Complexity No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1133221
American Medical Association (AMA)
Wang, Peipei& Qin, Wenjie& Tang, Guangyao. Modelling and Analysis of a Host-Parasitoid Impulsive Ecosystem under Resource Limitation. Complexity. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1133221
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133221