International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Combating Leishmaniasis through Awareness Campaigning: A Mathematical Study on Media Efficiency

Dibyendu Biswas
Centre for Mathematical Biology and Ecology Department of Mathematics, Jadavpur University, Kolkata - 700032, India.

Abhirup Datta
Centre for Mathematical Biology and Ecology Department of Mathematics, Jadavpur University, Kolkata - 700032, India.

Priti Kumar Roy
Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata - 700032, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2016.1.3-015

Received on July 28, 2016
  ;
Accepted on August 27, 2016

Abstract

Leishmaniasis is a complex vector-borne disease that is originated by protozoa of the genus Leishmania. The disease is transmitted to human or animals through bites of infected female Phlebotominae sand-fly. Awareness campaign plays a significant role to restrict the spreading of disease cutaneous leishmaniasis. Here, we have considered a mathematical model of cutaneous leishmaniasis (CL) consisting susceptible and infected population of human and vector. Increase in growth of aware population impulsively leading to reduction of incompetence for environmental factors. Our analytical and numerical results reveal that circulating of the campaigning periodically minimizes the disease prevalence. The efficiency of the awareness programme contributes a better regime on the system moving towards healthy and hygienic environment.

Keywords- Vector-borne disease, Cutaneous leishmaniasis (CL), Awareness programme, Impulsive approach.

Citation

Biswas, D., Datta, A., & Roy, P. K (2016). Combating Leishmaniasis through Awareness Campaigning: A Mathematical Study on Media Efficiency. International Journal of Mathematical, Engineering and Management Sciences, 1(3), 139-149. https://dx.doi.org/10.33889/IJMEMS.2016.1.3-015.

Conflict of Interest

Acknowledgements

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