Lyapunov Functionals and Stochastic Stability Analyses for Highly Random Nonlinear Functional Epidemic Dynamical Systems with Multiple Distributed Delays

Authors

Divine Wanduku, Georgia Southern UniversityFollow

Document Type

Contribution to Book

Publication Date

1-3-2020

Publication Title

Mathematical Methods in Engineering and Applied Sciences

DOI

10.1201/9780429343537-9

ISBN

9780429343537

Abstract

Random and non-random (deterministic) dynamical systems governed by systems of delay ordinary differential equation (ODE) and delay stochastic differential equation (SDE) play an important role in the investigation of infectious disease systems. For instance, several ecological models consist of delay SDE and delay ODE representing the dynamics of infectious diseases of humans, animals, and plants (cf. [11,12,18,27,29,30,32,41,42,47]); they also represent dynamics of malicious signals (or worms) on wireless sensory networks (WSN)(cf. [20,56]); they represent dynamics of rumors and malicious ideas on complex social networks (cf. [19]), etc. Note that the term disease is used both technically and metaphorically to represent a condition that is prevalent in a system.

Comments

Copyright belongs to Taylor & Francis Group

Recommended Citation

Wanduku, Divine. 2020. "Lyapunov Functionals and Stochastic Stability Analyses for Highly Random Nonlinear Functional Epidemic Dynamical Systems with Multiple Distributed Delays." Mathematical Methods in Engineering and Applied Sciences, Hemen Dutta (Ed.) Boca Raton, FL: CRC Press and Taylor & Francis Group. doi: 10.1201/9780429343537-9 isbn: 9780429343537
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/742