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2013 Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation
Chao Liu, Qingling Zhang, Jinna Li
Abstr. Appl. Anal. 2013(SI41): 1-16 (2013). DOI: 10.1155/2013/950396

Abstract

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.

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Chao Liu. Qingling Zhang. Jinna Li. "Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation." Abstr. Appl. Anal. 2013 (SI41) 1 - 16, 2013. https://doi.org/10.1155/2013/950396

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095530
MathSciNet: MR3090264
Digital Object Identifier: 10.1155/2013/950396

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI41 • 2013
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