SIR Transmission Model of Dengue Virus Taking Into Account Two Species of Mosquitoes and an Age Structure in the Human Population | Science Publications

American Journal of Applied Sciences

I. M. Tang¹  R. Sungchasit¹  P. Pongsumpun¹ 

关键词: Aedes Aegypti;    Aedes Albopictus;    Dengue Disease;    Endemic Disease State;    Equilibrium State;    SIR Model;   

DOI  :  10.3844/ajassp.2015.426.444

学科分类：自然科学（综合）

来源: Science Publications

【 摘 要 】

Dengue is a vector-borne disease. It is transmitted to humansby the bites of the Aedes aegypti and Aedes albopictusmosquitoes. The human population is separated into two classes, a child classand an adult class, each class being described by a SIR model. The transmissionrates of the two mosquito species are different and depend on what class thehumans belong to. We develop a single model taking into account the presence oftwo type of mosquitoes and two age classes and apply it to dengue fever. Themodel shows how it is possible for the maximum level of infected human to bereached in a short time. The nature of stability of the equilibrium state andthe trajectories of the individual classes in the model are determined by thevalues of the basic reproduction number by setting the values of the parametersin the model to different values which reflect the environment in which theepidemic is occurring in the model.

【 授权许可】

Unknown