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Mathematical Transmission of SEIR Epidemic Model with Natural Immunity | Asian Journal of Pure and..

This research investigates the SEIR mathematical and epidemiological model with natural immunity and treatment rate. For a disease-free equilibrium point, both local and global stability were examined. Using the next generation matrix method (NGM), the threshold quantity "Basic Reproduction Number" () with natural immunity was derived, and it was shown that the disease-free equilibrium point is locally and globally asymptotically stable whenever the basic reproduction number is less than unity, i.e. (), while endemic whenever the basic reproduction number is greater than unity, i.e. ( ). Strong natural immunity, according to numerical models, decreases the dynamical spread of epidemic illnesses.



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