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.
1.Institute of Systems Science, Northeastern University, Shenyang 110004, China 2.State Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyang 110004, China 3.Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110004, China
Recommended Citation:
Liu C,Zhang QL,Li JN. Global Stability Analysis and Optimal Control of a Harvested Ecoepidemiological Prey Predator Model with Vaccination and Taxation[J]. ABSTRACT AND APPLIED ANALYSIS,2013:1-16.
