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Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation
Joint Authors
Liu, Chao
Li, Jinna
Zhang, Qingling
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-30
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We propose an ecoepidemiological prey predator model, where selective harvest effort on predator population is considered.
Vaccination and taxation are introduced as control instruments, which are utilized to control number of susceptible prey population and protect predator population from overexploitation, respectively.
Conditions which influence nonnegativity and boundedness of solutions are studied.
Global stability analysis around disease-free equilibrium is discussed based on robust Bendixson criterion, which is theoretically beneficial to studying coexistence and interaction mechanism of population within harvested ecoepidemiological system.
By using Pontryagin’s maximum principle, an optimal control strategy is derived to maximize the total discounted net economic revenue to society as well as protect prey population from infectious disease.
Numerical simulations are carried out to show the consistency with theoretical analysis.
American Psychological Association (APA)
Liu, Chao& Zhang, Qingling& Li, Jinna. 2013. Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-510733
Modern Language Association (MLA)
Liu, Chao…[et al.]. Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation. Abstract and Applied Analysis No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-510733
American Medical Association (AMA)
Liu, Chao& Zhang, Qingling& Li, Jinna. Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-510733
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510733