Rosita Yuliana, ,- and Cicik Alfiniyah, ,- and Windarto, ,- Stability analysis of SIVS epidemic model with vaccine ineffectiveness. In: INTERNATIONAL CONFERENCE ON MATHEMATICS, COMPUTATIONAL SCIENCES AND STATISTICS 2020. AIP Publishing.
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Abstract
Vaccination is the act of getting a vaccine to help the immune system develop protection from a disease. Vaccination is a good and efficient step to protect population from epidemic. However, vaccines do not necessarily provide perfect immunity to body because not all type of vaccines have 100% effectiveness. The ineffectiveness of a vaccine affects the dynamics of the spread of an infectious disease. The dynamics of the spread of infectious diseases with vaccine ineffectiveness can be approached by mathematical models. This paper aims to analyze the stability of SIVS epidemic model with vaccine ineffectiveness. Based on model analysis result, the model obtained two equilibrium points namely, the disease free-equilibrium point (E0) and endemic equilibrium point (E1). In addition, the basic reproduction number (R0) also obtained, which determines the existence and stability of equilibrium point. Disease free-equilibrium point (E0) local asymptotically stable if R0 < 1, then through phase plane simulation it conclude that endemic equilibrium point (E1) local asymptotically stable if R0 > 1. Based on numerical simulation results, it shows that vaccine ineffectiveness affects the high spread of disease.
| Item Type: | Book Section | ||||||||
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| Subjects: | Q Science > QA Mathematics > QA1 Mathematics (General) Q Science > QA Mathematics > QA297-299.4 Numerical Analysis Q Science > QA Mathematics > QA370-387 Differential Equations |
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| Divisions: | 08. Fakultas Sains dan Teknologi > Matematika | ||||||||
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| Depositing User: | Mr Vega Andi Budiman | ||||||||
| Date Deposited: | 23 Jun 2023 23:53 | ||||||||
| Last Modified: | 26 Jun 2023 04:57 | ||||||||
| URI: | http://repository.unair.ac.id/id/eprint/127577 | ||||||||
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