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Journal of Advances in Mathematics and Computer Science

Journal of Advances in Mathematics and Computer Science, XXXX,Vol.: 23, Issue.: 3




Mathematical Model of Dengue Disease Transmission Dynamics with Control Measures



G. R. Phaijoo1* and D. B. Gurung1
1School of Science, Department of Natural Sciences (Mathematics), Kathmandu University, Dhulikhel, Kavre, Nepal.




Dengue disease is a mosquito-borne infectious tropical disease caused by the dengue viruses of four serotypes, DEN 1 - DEN 4. It is transmitted between people by the bite of female adult Aedes mosquitoes. In the present work, we study a vector host epidemic model of dengue disease by considering control measures of the disease. The aim of the study is to observe the effects of control measures on the dengue disease development. Explicit formula for the metric, basic reproduction number R0 is obtained using Next Generation Matrix method. Stability of the disease free equilibrium and sensitivity analysis of model's parameters are discussed in terms of basic reproduction number. It is observed that the disease free equilibrium is locally and globally stable when R0 < 1 and unstable when R0 > 1. Numerical results are carried out to illustrate the impact of control measures in the disease transmission.


Keywords :

Dengue; control measures; basic reproduction number; stability; sensitivity analysis.


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