Dynamics of an SEIR Epidemic Model with Time Delay

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K. Madhusudhan Reddy, K. Lakshmi Narayan and B. Ravindra Reddy

Abstract

A model involving SEIR epidemic type was the object of investigation and comprehensive analysis. Time delay as a parameter was reckoned with alongside saturated incidence rate when examining the model and the assumption held was growth rate of susceptibles is influenced by logistic equation. The parameter determining threshold 0Rwas taken into account to establish if the disease blighted away or was detained in the population as an endemic condition. On the basis of some conditions, one could sense the ramifications of the prevalence of the disease. If 01,R the condition was endemic, hinting strongly at the permanence of the disease. Making use of time delay as a parameter for bifurcation, the local stability of the steady state imagined to be endemic was mathematically looked into, while also deriving essential conditions for Hopf bifurcation. To determine if the results were experimentally sound, numerical simulations were also done and the validity of the assumptions established.

Volume 11 | Issue 1

Pages: 102-108

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