Fluctuating Role of Parameters in the Analysis of the Continues and Discrete Version of a Susceptible-Incubated-Infected Model

Prasenjit Das, Debasis Mukherjee, Kalyan Das, A. Sabarmathi

Baikunthapur High School, Maipith, India.
Department of Mathematics, National Institute of Food Technology Entrepreneurship and Management, HSIIDC Industrial Estate, Kundli India.
Department of Mathematics, School of Advanced Sciences, VIT University, Vellore, India.
Department of Mathematics, Vivekananda College, Kolkata, India.

DOI: 10.4236/ijmnta.2012.12006                

Abstract

The article concentrates on the role of fluctuating parameters for removable population from the incubated class in a susceptible-incubated-infected model. The discrete analogous of this model is also investigated. Conditions for local asymptotic stability are derived for both the disease free and endemic cases. Numerical simulations are performed to validate the theoretical results.

Keywords

Incubated Class; Stability; Schur-Cohn Criterion

Conflicts of Interest

The authors declare no conflicts of interest.

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