NDLI: Global Dynamics of a Nonautonomous SIRC Model for Influenza A with Distributed Time Delay

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Global Dynamics of a Nonautonomous SIRC Model for Influenza A with Distributed Time Delay

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Global Dynamics of a Nonautonomous SIRC Model for Influenza A with Distributed Time Delay

Content Provider	Springer Nature Link
Author	Samanta, G. P.
Copyright Year	2010
Abstract	In this paper we have considered a nonautonomous SIRC epidemic model for Influenza A with varying total population size and distributed time delay. The individuals in the class R are those who have recovered from the dominant strain currently circulating and against which they have full immunity, and after some period of time, the individuals move to the class C of cross-immune individuals. In the compartment C, the individuals are exposed to the currently dominant strain at the same contact rate of the susceptible, when they are in contact with infective, however, only a fraction of the exposed cross-immune individuals are enrolled per unit time into the infective compartment I. Here, we have established some sufficient conditions on the permanence and extinction of the disease by using inequality analytical technique. By Lyapunov functional method, we have also obtained some sufficient conditions for global asymptotic stability of this model. Moreover, we have observed that the time delay decreases the lower bound of the infective. Computer simulations are carried out to explain the analytical findings. The aim of the analysis of this model is to identify the parameters of interest for further study, with a view to informing and assisting policy-maker in targeting prevention and treatment resources for maximum effectiveness.
Starting Page	341
Ending Page	362
Page Count	22
File Format	PDF
ISSN	09713514
Journal	Differential Equations and Dynamical Systems
Volume Number	18
Issue Number	4
e-ISSN	09746870
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-01-04
Publisher Place	India
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Cross-immunity and boosting Epidemics Time delay Permanence Extinction Lyapunov functional Global stability Computer Science Engineering Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

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