Abstract
In this paper, we present an SEIQRS epidemic model with non-linear incidence function. The proposed model exhibits two equilibrium points, the virus free equilibrium and viral equilibrium. The model stability is connected with the basic reproduction number R0. If R0 1, then the model is locally and globally stable at viral equilibrium point. Numerical methods are used for supporting the analytical work.
Highlights
The Malicious objects are harmful codes that reproduce and spread by way of internet [1]
Global Stability of Viral Equilibrium Point. In this segment we should look at the global stability of the given system (1) at viral equilibrium point
According to which we find sufficient condition for the global stability of the model (1) at viral equilibrium point
Summary
The Malicious objects are harmful codes that reproduce and spread by way of internet [1]. As the internet has been used for a wide range of function so, the malicious objects have become a serious threat to man’s work They have hampered the economic and financial growth of man. Q. Badshah show the worm free and viral equilibrium stability locally as well as globally, which is connected to threshold quantity. We present a Propagation Model with non-linear incidence function, (susceptible, exposed, infected, quarantined, and recovered) which exhibits two equilibria the virus free and viral equilibrium point. The stability of both equilibrium points is connected with the threshold quantity.
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