Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay
An epidemic model with time delay has been proposed and analyzed. In this model the effect of awareness programs driven by media on the prevalence of an infectious disease is studied. It is assumed that pathogens are transmitted via direct contact between the susceptible and the infective population...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/940841 |
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| _version_ | 1832556319133925376 |
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| author | Lixia Zuo Maoxing Liu |
| author_facet | Lixia Zuo Maoxing Liu |
| author_sort | Lixia Zuo |
| collection | DOAJ |
| description | An epidemic model with time delay has been proposed and analyzed. In this model the effect of awareness programs driven by media on the prevalence of an infectious disease is studied. It is assumed that pathogens are transmitted via direct contact between the susceptible and the infective populations and further assumed that the growth rate of cumulative density of awareness programs increases at a rate proportional to the infective population. The model is analyzed by using stability theory of differential equations and numerical simulations. Both equilibria have been proved to be globally asymptotically stable. The results we obtained and numerical simulations suggest the increasing of the dissemination rate and implementation rate can reduce the proportion of the infective population. |
| format | Article |
| id | doaj-art-259712a68e9d4ff0ae8da742944e903a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-259712a68e9d4ff0ae8da742944e903a2025-02-03T05:45:41ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/940841940841Effect of Awareness Programs on the Epidemic Outbreaks with Time DelayLixia Zuo0Maoxing Liu1Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, ChinaDepartment of Mathematics, North University of China, Taiyuan, Shanxi 030051, ChinaAn epidemic model with time delay has been proposed and analyzed. In this model the effect of awareness programs driven by media on the prevalence of an infectious disease is studied. It is assumed that pathogens are transmitted via direct contact between the susceptible and the infective populations and further assumed that the growth rate of cumulative density of awareness programs increases at a rate proportional to the infective population. The model is analyzed by using stability theory of differential equations and numerical simulations. Both equilibria have been proved to be globally asymptotically stable. The results we obtained and numerical simulations suggest the increasing of the dissemination rate and implementation rate can reduce the proportion of the infective population.http://dx.doi.org/10.1155/2014/940841 |
| spellingShingle | Lixia Zuo Maoxing Liu Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay Abstract and Applied Analysis |
| title | Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay |
| title_full | Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay |
| title_fullStr | Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay |
| title_full_unstemmed | Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay |
| title_short | Effect of Awareness Programs on the Epidemic Outbreaks with Time Delay |
| title_sort | effect of awareness programs on the epidemic outbreaks with time delay |
| url | http://dx.doi.org/10.1155/2014/940841 |
| work_keys_str_mv | AT lixiazuo effectofawarenessprogramsontheepidemicoutbreakswithtimedelay AT maoxingliu effectofawarenessprogramsontheepidemicoutbreakswithtimedelay |