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  DOI Prefix   10.20431


 

International Journal of Scientific and Innovative Mathematical Research
Volume 5, Issue 7, 2017, Page No: 14-28

Simulation of Dengue Disease with Control

Nita H.Shah1,Foram A.Thakkar2,Bijal M.Yeolekar3

1.Professor, Department of Mathematics, Gujarat University, Ahmedabad, India.
2.Research Scholar, Department of Mathematics, Gujarat University, Ahmedabad, India.
3.Research Scholar, Department of Mathematics, Gujarat University, Ahmedabad, India.

Citation :Nita H.Shah,Foram A.Thakkar,Bijal M.Yeolekar, Simulation of Dengue Disease with Control International Journal of Scientific and Innovative Mathematical Research 2017,5(7) : 14-28

Abstract

These Dengue is a disease which is transmitted to humans by a female mosquito named 'Aedes Aegypti'. In this paper, a mathematical model has been developed to study the spread of dengue disease. Population of human, mosquitoes and their eggs are taken into consideration. To study the dynamics of the disease a compartmental model involving non-linear ordinary differential equations has been formulated for human, mosquitoes and egg population. Stability analysis has been carried out at dengue free and endemic equilibrium points. Control in terms of preventive measures, spraying insecticides, and killing their eggs which is food for guppy fish are to be taken/applied to humans, mosquitoes and eggs respectively. Numerical Simulation has been carried out to show the impact of control on different compartments.


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