
Mathematical Biosciences and Engineering, 2017, 14(4): 975999. doi: 10.3934/mbe.2017051.
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Stability analysis on an economic epidemiological model with vaccination
1. Department of Statistical and Actuarial Sciences, University of Western Ontario, London, N6A 5B7, Canada
2. Department of Mathematics, Trent University, Peterborough, K9L 0G2, Canada
Received: , Accepted: , Published:
In this paper, an economic epidemiological model with vaccination is studied. The stability of the endemic steadystate is analyzed and some bifurcation properties of the system are investigated. It is established that the system exhibits saddlepoint and perioddoubling bifurcations when adult susceptible individuals are vaccinated. Furthermore, it is shown that susceptible individuals also have the tendency of opting for more number of contacts even if the vaccine is inefficacious and thus causes the disease endemic to increase in the long run. Results from sensitivity analysis with specific disease parameters are also presented. Finally, it is shown that the qualitative behaviour of the system is affected by contact levels.
Keywords: Dynamical system; economic epidemiology; equilibrium; eigenvalue; stability; vaccination
Citation: Wisdom S. Avusuglo, Kenzu Abdella, Wenying Feng. Stability analysis on an economic epidemiological model with vaccination. Mathematical Biosciences and Engineering, 2017, 14(4): 975999. doi: 10.3934/mbe.2017051
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Copyright Info: 2017, Wenying Feng, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)
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