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ARPN Journal of Science and Technology >> Volume 7, Issue 2, November 2017

ARPN Journal of Science and Technology

An Epidemic Model with an Asymptotically Homogeneous Transmission Function

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Author Harsha Mehta, Bijendra Singh, Neetu Trivedi
ISSN 2225-7217
On Pages 396-401
Volume No. 3
Issue No. 4
Issue Date May 01, 2013
Publishing Date May 01, 2013
Keywords Epidemiology, stability, Biological equilibrium, Infectious diseases.


The rate of incidence plays an important role in epidemic model. In this context, an epidemic model with an asymptotically homogeneous transmission function was analyzed by Pathak [11]. They assumed that the entire interaction population becomes infectious. However, it is a little bit away from reality. In this paper, this assumption is modified by taking a part of this population as infected by introducing a new control parameter ?. We have carried out the global qualitative analysis of an SIR epidemic model. By numerical simulation, it has been observed that increasing value of ? increase I^* where as S^* and R^* decrease. The model is mathematically more general and is in full agreement with that of Pathak[11].

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