IJPAM: Volume 76, No. 3 (2012)
WITH SATURATING INCIDENCE RATE




University of Malakand
Chakdara Dir (Lower), Khyber Pakhtunkhwa, PAKISTAN

National University of Sciences and Technology
H-12, Islamabad, PAKISTAN

University College
Al Buraimi, OMAN
Abstract. In this paper we present the dynamical feature of dengue disease
which is now endemic in more than 100 countries in the world. We
develop a mathematical model taking into account the hospitalized
compartment to present transmission of mosquitoes (Aedes aegypti)
virus and its existence in human population. It is shown that the
stability of the equilibria in the proposed model can be controlled
by the basic reproduction number of the disease transmission. We use
Lyapunove function theory to present global asymptotical stability.
Finally, we show parameter estimation that characterize the natural
history of this disease with numerical simulations.
Received: December 1, 2011
AMS Subject Classification: 92D25, 49J15, 93D20
Key Words and Phrases: stability, dengue fever, population dynamics, numerical simulation
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 3