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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

A mathematical model for control of vector borne diseases through media campaigns

Pages: 1909 - 1927, Volume 18, Issue 7, September 2013      doi:10.3934/dcdsb.2013.18.1909

 
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A. K. Misra - Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221 005, India (email)
Anupama Sharma - Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221 005, India (email)
Jia Li - Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, United States (email)

Abstract: Vector borne diseases spread rapidly in the population. Hence their control intervention must work quickly and target large area as well. A rational approach to combat these diseases is mobilizing people and making them aware through media campaigns. In the present paper, a non-linear mathematical model is proposed to assess the impact of creating awareness by the media on the spread of vector borne diseases. It is assumed that as a response to awareness, people will not only try to protect themselves but also take some potential steps to inhibit growth of vectors in the environment. The model is analyzed using stability theory of differential equations and numerical simulation. The equilibria and invasion threshold for infection i.e., basic reproduction number, has been obtained. It is found that the presence of awareness in the population makes the disease invasion difficult. Also, continuous efforts by the media along with the swift dissemination of awareness can completely eradicate the disease from the system.

Keywords:  Epidemic model, vector borne diseases, media campaigns, awareness, stability.
Mathematics Subject Classification:  Primary: 92D30, 92B05.

Received: June 2012;      Revised: October 2012;      Available Online: May 2013.

 References