{"title":"Mathematical Modeling for Dengue Transmission with the Effect of Season","authors":"R. Kongnuy., P. Pongsumpun","country":null,"institution":"","volume":51,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":255,"pagesEnd":260,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/218","abstract":"Mathematical models can be used to describe the\r\ntransmission of disease. Dengue disease is the most significant\r\nmosquito-borne viral disease of human. It now a leading cause of\r\nchildhood deaths and hospitalizations in many countries. Variations\r\nin environmental conditions, especially seasonal climatic parameters,\r\neffect to the transmission of dengue viruses the dengue viruses and\r\ntheir principal mosquito vector, Aedes aegypti. A transmission model\r\nfor dengue disease is discussed in this paper. We assume that the\r\nhuman and vector populations are constant. We showed that the local\r\nstability is completely determined by the threshold parameter, 0 B . If\r\n0 B is less than one, the disease free equilibrium state is stable. If\r\n0 B is more than one, a unique endemic equilibrium state exists and\r\nis stable. The numerical results are shown for the different values of\r\nthe transmission probability from vector to human populations.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 51, 2011"}