Mathematical Model of Seasonal Influenza with Treatment in Constant Population

3rd International Conference on Mathematics, Science and Education 2016

数学;自然科学;教育

Kharis, M.^1 ; Arifudin, R.^2

Mathematics Department, Universitas Negeri Semarang, Indonesia^1

Computer Science Department, Universitas Negeri Semarang, Indonesia^2

关键词: Analysis process;    Disease outbreaks;    Economic aspects;    Economic growths;    Equilibrium point;    Production quantity;    Short periods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/824/1/012034/pdf
DOI  :  10.1088/1742-6596/824/1/012034

来源: IOP

【 摘 要 】

Seasonal Influenza is one of disease that outbreaks periodically at least once every year. This disease caused many people hospitalized. Many hospitalized people as employers would infect production quantities, distribution time, and some economic aspects. It will infect economic growth. Infected people need treatments to reduce infection period and cure the infection. In this paper, we discussed about a mathematical model of seasonal influenza with treatment. Factually, the disease was held in short period, less than one year. Hence, we can assume that the population is constant at the disease outbreak time. In this paper, we analyzed the existence of the equilibrium points of the model and their stability. We also give some simulation to give a geometric image about the results of the analysis process.