On the almost sure, and pth moment exponential convergence and stochastic exponential stabilities for nonlinear stochastic epidemic models

Authors

Divine Wanduku, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

11-25-2020

Publication Title

Mathematics in Engineering, Science and Aerospace (MESA)

Abstract

In this paper the almost sure exponential convergence and pth mean exponential convergence of a general nonlinear stochastic epidemic model are investigated. The stochastic epidemic model consists of Ito-stochastic differential equations with multiple-delays and general nonlinear incidence rate. The stochastic convergence and exponential stabilities of the epidemic model are examined and applied to find control measures for the disease. Moreover, the basic reproduction number for the disease is computed.

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Recommended Citation

Wanduku, Divine. 2020. "On the almost sure, and pth moment exponential convergence and stochastic exponential stabilities for nonlinear stochastic epidemic models." Mathematics in Engineering, Science and Aerospace (MESA), 11 (4): 719-737: Mathematics in Engineering, Science and Aerospace (MESA). source: http://nonlinearstudies.com/index.php/mesa/article/view/2410
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/762