TITLE:
Mathematical Study of Dengue Disease Transmission in Multi-Patch Environment
AUTHORS:
Ganga Ram Phaijoo, Dil Bahadur Gurung
KEYWORDS:
Dengue, Patch, Basic Reproduction Number, Equilibrium Point, Stability
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.14,
August
24,
2016
ABSTRACT: Dengue disease is the most common vector
borne infectious disease transmitted to humans by infected adult female Aedes
mosquitoes. Over the past several years the disease has been increasing
remarkably and it has become a major public health concern. Dengue viruses have
increased their geographic range into new human population due to travel of
humans from one place to the other. In the present paper, we have proposed a
multi patch SIR-SI model to study the host-vector dynamics of dengue disease in
different patches including the travel of human population among the patches.
We have considered different disease prevalences in different patches and
different travel rates of humans. The dimensionless number, basic reproduction
number R0 which shows that the disease dies out if R0