Abstract
AbstractThis research aimed to determine the equilibrium point and analyze the stability of VSEIR model on Anthrax Disease with vaccination and treatment effects. It also aimed at measuring the level sensitivity of Anthrax disease deployment to proportion vaccination effect and proportion treatment effect by using . The writer used qualitative method to achieve the above objectives. The steps were: Reproduction Base Numbers, The R0, was analyzed using stability of disease-free equilibrium points, where the equilibrium point of both is said to asymptotically stable if and unstable if that originally based on the next generation method. Next, the writer also analyze the stability of equilibrium point that was obtained by using the Routh-Hurwitz Criteria and Numeric Simulation. After analyze the sensitivity, the writer finds the proportion of vaccination effects on new-born animal and the treatment of infected animal can reduce the spread of Anthrax Virus and also to terminate the endemic conditions. The numeric simulation is involved to describe the level of vaccination effect new-born animal, and the treatment of infected animal at Anthrax disease deployment.
Highlights
measure the sensitivity level of anthrax disease deployment to proportion vaccination effect and proportion treatment effect through the amount of The research method used is a qualitative method by determining the basic reproduction number
endemic equilibrium points are obtained by using the Routh-Hurwitz criteria
The sensitivity analysis shows that the proportion of vaccination effects
Summary
Antraks adalah penyakit menular yang disebabkan oleh bakteri Bacillus anthracis. Penyakit ini menyerang hewan domestik maupun liar, terutama hewan herbivora seperti sapi, domba, kambing, dan dapat menyerang manusia (zoonosis) [1]. [5], membuat dan menyelesaikan suatu model penyebaran dan pengendalian antraks pada populasi hewan dengan mempelajari efek dari pengendalian bangkai terhadap bilangan reproduksi dasar. [6], memperkenalkan model umum dinamika transmisi penyakit antraks pada populasi hewan dengan mempelajari efek dari vaksinasi dan pengendalian bangkai terhadap bilangan reproduksi dasar. [7], melakukan analisis model kualitatif dan kuantitatif untuk menjelaskan dinamika transmisi penyakit antraks pada populas hewan dan manusia, menganalisis dan menentukan solusi steady state model, mempelajari efek dari pengendalian vaksin terhadap bilangan reproduksi dasar. Secara khusus [4] mempelajari model SIAC penyebaran penyakit antraks, dengan pengendalian terhadap bangkai hewan sebagai strategi untuk mengurangi penyebaran penyakit, selanjutnya model yang terkait dengan antraks dikembangkan menjadi model SEIACP-MV dengan penambahan kelas exposed, kelas vektor [5], dan penambahan kelas vaksinasi [6]. Analisis kestabilannya ditentukan melalui bilangan reproduksi dasar yang diperoleh dari metode generation matrix
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
