Liu D, Wang B, Guo S. Stability analysis of a novel epidemics model with vaccination and nonlinear infectious rate.
APPLIED MATHEMATICS AND COMPUTATION 2013;
221:786-801. [PMID:
32287496 PMCID:
PMC7132752 DOI:
10.1016/j.amc.2013.07.016]
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Abstract
In this paper, by considering pathogen evolution and human interventions behaviors with vaccines or drugs, we build up a novel SEIRW model with the vaccination to the newborn children. The stability of the SEIRW model with time-varying perturbation to predict the evolution tendency of the disease is analyzed. Furthermore, we introduce a time-varying delay into the susceptible and infective stages in the model and give some global exponential stability criteria for the time-varying delay system. Finally, numerical simulations are presented to verify the results.
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