Analysis of difference serotypes of dengue disease model

Abstract

Dengue disease has four serotypes such as DEN1, DEN2, DEN3 and DEN4. The transmission of dengue disease is occurred by the biting of infected Aedes mosquitoes. The person who has been dengue infected will have lifelong immunity to that serotype. They will have immunity to other serotypes in the short term, about 3 – 12 months. In this research, we describe the transmission of dengue disease by formulating the differential equations considering the serotypes of this disease. The populations are separated into human and mosquitoes. Human population are divided into susceptible, Infectious, and recovered. Mosquitoes are divided into susceptible and infectious population. We analyze our differential equations by standard dynamical modeling method. The numerical solutions are shown to confirm our analytical methods. The way for reducing dengue patients is showed.