Stability analysis on an economic epidemiological model with vaccination
In this paper, an economic epidemiological model with vaccination is studied. The stability of the endemic steady-state is analyzed and some bifurcation properties of the system are investigated. It is established that the system exhibits saddle-point and period-doubling bifurcations when adult susc...
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| Format: | Article |
| Language: | English |
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AIMS Press
2017-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017051 |
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| author | Wisdom S. Avusuglo Kenzu Abdella Wenying Feng |
| author_facet | Wisdom S. Avusuglo Kenzu Abdella Wenying Feng |
| author_sort | Wisdom S. Avusuglo |
| collection | DOAJ |
| description | In this paper, an economic epidemiological model with vaccination is studied. The stability of the endemic steady-state is analyzed and some bifurcation properties of the system are investigated. It is established that the system exhibits saddle-point and period-doubling 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. |
| format | Article |
| id | doaj-art-69f02c18d49346a08f25498068fdae23 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2017-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-69f02c18d49346a08f25498068fdae232025-01-24T02:39:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182017-07-0114497599910.3934/mbe.2017051Stability analysis on an economic epidemiological model with vaccinationWisdom S. Avusuglo0Kenzu Abdella1Wenying Feng2Department of Statistical and Actuarial Sciences, University of Western Ontario, London, N6A 5B7, CanadaDepartment of Mathematics, Trent University, Peterborough, K9L 0G2, CanadaDepartment of Mathematics, Trent University, Peterborough, K9L 0G2, CanadaIn this paper, an economic epidemiological model with vaccination is studied. The stability of the endemic steady-state is analyzed and some bifurcation properties of the system are investigated. It is established that the system exhibits saddle-point and period-doubling 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.https://www.aimspress.com/article/doi/10.3934/mbe.2017051dynamical systemeconomic epidemiologyequilibriumeigenvaluestabilityvaccination |
| spellingShingle | Wisdom S. Avusuglo Kenzu Abdella Wenying Feng Stability analysis on an economic epidemiological model with vaccination Mathematical Biosciences and Engineering dynamical system economic epidemiology equilibrium eigenvalue stability vaccination |
| title | Stability analysis on an economic epidemiological model with vaccination |
| title_full | Stability analysis on an economic epidemiological model with vaccination |
| title_fullStr | Stability analysis on an economic epidemiological model with vaccination |
| title_full_unstemmed | Stability analysis on an economic epidemiological model with vaccination |
| title_short | Stability analysis on an economic epidemiological model with vaccination |
| title_sort | stability analysis on an economic epidemiological model with vaccination |
| topic | dynamical system economic epidemiology equilibrium eigenvalue stability vaccination |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017051 |
| work_keys_str_mv | AT wisdomsavusuglo stabilityanalysisonaneconomicepidemiologicalmodelwithvaccination AT kenzuabdella stabilityanalysisonaneconomicepidemiologicalmodelwithvaccination AT wenyingfeng stabilityanalysisonaneconomicepidemiologicalmodelwithvaccination |