Mathematical Analysis of a Swine Flu Model with Mixed Transmission
Nidhi Nirwani *
School of Studies in Mathematics, Vikram University, Ujjain (M.P.), India.
V. H. Badshah
School of Studies in Mathematics, Vikram University, Ujjain (M.P.), India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we proposed and analyzed an SEIR compartment model of Swine flu with mixing transmission. The stability of the disease-free equilibrium and the endemic equilibrium is obtained by Routh-Hurwitz criteria. The Basic Reproduction number R0 has also been discussed, when R0 < 1 , the disease free equilibrium point is stable. In case R0 > 1 , there exists endemic equilibrium. Numerical simulations are carried out for different values of contact rate to understand the transmission behavior of the disease.
Keywords: Epidemic model, swine flu, compartment model, stability