DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES
This research discusses the math model of spreading cholera disease with a mathematical strategy of math model constructed by considering a vaccination strategy. In addition, there is a population of hyperinfectious and lessinfectious bacteria so that the model of SVIR-BhiBli type, by. The model for...
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| Format: | Article |
| Language: | English |
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Universitas Pattimura
2022-03-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5003 |
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| author | Nur Safitri Abdul Lailany Yahya R. Resmawan Agusyarif Rezka Nuha |
| author_facet | Nur Safitri Abdul Lailany Yahya R. Resmawan Agusyarif Rezka Nuha |
| author_sort | Nur Safitri Abdul |
| collection | DOAJ |
| description | This research discusses the math model of spreading cholera disease with a mathematical strategy of math model constructed by considering a vaccination strategy. In addition, there is a population of hyperinfectious and lessinfectious bacteria so that the model of SVIR-BhiBli type, by. The model formed in the form of determination of fixed point, determination of basic reproductions numbers, analyzing the equilibrium point and sensitivity analysis. The equilibrium analysis produces two equilibrium points of a immediate-free equilibrium point of aceletotic local if and endemic equilibrium points will be stable local asymptotics if . Furthermore, numerical simulation that the increase in vaccination rate influences on the decline in value while increased rate of vaccine depreciation can increase the value of . In addition, sensitivity analysis shows that if the parameter is enhanced while other contrast parameters will contribute to the increase in value, as a result can increase the rate of transmission of cholera disease. Whereas if the parameter is enhanced while other contrast parameters will contribute to the decrease in value, as a result of the dissemination of the disease can be pressed very significantly. |
| format | Article |
| id | doaj-art-73ae825c57a1432eb01b885dac1cde8a |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2022-03-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-73ae825c57a1432eb01b885dac1cde8a2025-08-20T03:37:36ZengUniversitas PattimuraBarekeng1978-72272615-30172022-03-0116128129210.30598/barekengvol16iss1pp279-2905003DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIESNur Safitri Abdul0Lailany Yahya1R. Resmawan2Agusyarif Rezka Nuha3Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Negeri GorontaloMathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Negeri GorontaloMathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Negeri GorontaloMathematics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Negeri GorontaloThis research discusses the math model of spreading cholera disease with a mathematical strategy of math model constructed by considering a vaccination strategy. In addition, there is a population of hyperinfectious and lessinfectious bacteria so that the model of SVIR-BhiBli type, by. The model formed in the form of determination of fixed point, determination of basic reproductions numbers, analyzing the equilibrium point and sensitivity analysis. The equilibrium analysis produces two equilibrium points of a immediate-free equilibrium point of aceletotic local if and endemic equilibrium points will be stable local asymptotics if . Furthermore, numerical simulation that the increase in vaccination rate influences on the decline in value while increased rate of vaccine depreciation can increase the value of . In addition, sensitivity analysis shows that if the parameter is enhanced while other contrast parameters will contribute to the increase in value, as a result can increase the rate of transmission of cholera disease. Whereas if the parameter is enhanced while other contrast parameters will contribute to the decrease in value, as a result of the dissemination of the disease can be pressed very significantly.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5003choleravaccinationmathematical modelbasic reproductive numbersstability analysis |
| spellingShingle | Nur Safitri Abdul Lailany Yahya R. Resmawan Agusyarif Rezka Nuha DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES Barekeng cholera vaccination mathematical model basic reproductive numbers stability analysis |
| title | DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES |
| title_full | DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES |
| title_fullStr | DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES |
| title_full_unstemmed | DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES |
| title_short | DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES |
| title_sort | dynamic analysis of the mathematical model of the spread of cholera with vaccination strategies |
| topic | cholera vaccination mathematical model basic reproductive numbers stability analysis |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5003 |
| work_keys_str_mv | AT nursafitriabdul dynamicanalysisofthemathematicalmodelofthespreadofcholerawithvaccinationstrategies AT lailanyyahya dynamicanalysisofthemathematicalmodelofthespreadofcholerawithvaccinationstrategies AT rresmawan dynamicanalysisofthemathematicalmodelofthespreadofcholerawithvaccinationstrategies AT agusyarifrezkanuha dynamicanalysisofthemathematicalmodelofthespreadofcholerawithvaccinationstrategies |