Stability Analysis of a Harvested Prey-Predator Model with Stage Structure and Maturation Delay
Joint Authors
Liu, Chao
Huang, James
Zhang, Qingling
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A harvested prey-predator model with density-dependent maturation delay and stage structure for prey is proposed, where selective harvest effort on predator population is considered.
Conditions which influence positiveness and boundedness of solutions of model system are analytically investigated.
Criteria for existence of all equilibria and uniqueness of positive equilibrium are also studied.
In order to discuss effects of maturation delay and harvesting on model dynamics, local stability analysis around all equilibria of the proposed model system is discussed due to variation of maturation delay and harvest effort level.
Furthermore, global stability of positive equilibrium is investigated by utilizing an iterative technique.
Finally, numerical simulations are carried out to show consistency with theoretical analysis.
American Psychological Association (APA)
Liu, Chao& Zhang, Qingling& Huang, James. 2013. Stability Analysis of a Harvested Prey-Predator Model with Stage Structure and Maturation Delay. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1031813
Modern Language Association (MLA)
Liu, Chao…[et al.]. Stability Analysis of a Harvested Prey-Predator Model with Stage Structure and Maturation Delay. Mathematical Problems in Engineering No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-1031813
American Medical Association (AMA)
Liu, Chao& Zhang, Qingling& Huang, James. Stability Analysis of a Harvested Prey-Predator Model with Stage Structure and Maturation Delay. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-1031813
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031813