The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact
We propose a novel SIR epidemic dynamical control model with media impact, where the state dependent pulse vaccination and medication treatment control strategies are being introduced to prevent the spread of disease at different control threshold values. By using the geometry theory of differential...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/532494 |
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| _version_ | 1832559923305644032 |
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| author | Zhi-Long He Lin-Fei Nie |
| author_facet | Zhi-Long He Lin-Fei Nie |
| author_sort | Zhi-Long He |
| collection | DOAJ |
| description | We propose a novel SIR epidemic dynamical control model with media impact, where the state dependent pulse vaccination and medication treatment control strategies are being introduced to prevent the spread of disease at different control threshold values. By using the geometry theory of differential equation and method of successor function, the existence of positive order-1 periodic solution is studied. Further, some sufficient conditions of the orbitally asymptotical stability for positive order-1 periodic solution are given by the analog Poincaré criterion. Furthermore, numerical simulations are carried to illustrate the feasibility of our main results presented here. |
| format | Article |
| id | doaj-art-a347050756f1469ea0446fca6856a38d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a347050756f1469ea0446fca6856a38d2025-02-03T01:28:50ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/532494532494The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media ImpactZhi-Long He0Lin-Fei Nie1College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, ChinaWe propose a novel SIR epidemic dynamical control model with media impact, where the state dependent pulse vaccination and medication treatment control strategies are being introduced to prevent the spread of disease at different control threshold values. By using the geometry theory of differential equation and method of successor function, the existence of positive order-1 periodic solution is studied. Further, some sufficient conditions of the orbitally asymptotical stability for positive order-1 periodic solution are given by the analog Poincaré criterion. Furthermore, numerical simulations are carried to illustrate the feasibility of our main results presented here.http://dx.doi.org/10.1155/2015/532494 |
| spellingShingle | Zhi-Long He Lin-Fei Nie The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact Discrete Dynamics in Nature and Society |
| title | The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact |
| title_full | The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact |
| title_fullStr | The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact |
| title_full_unstemmed | The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact |
| title_short | The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact |
| title_sort | effect of pulse vaccination and treatment on sir epidemic model with media impact |
| url | http://dx.doi.org/10.1155/2015/532494 |
| work_keys_str_mv | AT zhilonghe theeffectofpulsevaccinationandtreatmentonsirepidemicmodelwithmediaimpact AT linfeinie theeffectofpulsevaccinationandtreatmentonsirepidemicmodelwithmediaimpact AT zhilonghe effectofpulsevaccinationandtreatmentonsirepidemicmodelwithmediaimpact AT linfeinie effectofpulsevaccinationandtreatmentonsirepidemicmodelwithmediaimpact |