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14 results on '"Ghaleb, Shafeek A."'

4. Global Stability of Generalized Within-host Chikungunya Virus Dynamics Models

Author

Ghaleb, Shafeek A., Tunç, Cemil, Abidemi, Afeez, and Alade, Taofeek O.

Subjects
virus diseases
Abstract

This paper proposes two models of a general nonlinear within-host Chikungunya virus (CHIKV) dynamics. The production, incidence, proliferation and removal rates of all compartments are modeled by general nonlinear functions that satisfy a set of reasonable conditions. The second model takes into consideration two forms of infected host cells: (i) latently infected cells which do not produce the CHIKV, (ii) actively infected cells which generate the CHIKV particles. We show that all the solutions of the models are nonnegative and bounded. The global stability of the steady states of the models is proven by applying Lyapunov method and LaSalle's invariance principle. We perform numerical simulations to complement the obtained theoretical results.

Published
2021

5. Global Stability of Generalized Within-host Chikungunya Virus Dynamics Models.

Author

Alade, Taofeek O., Abidemi, Afeez, Tunç, Cemil, and Ghaleb, Shafeek A.

Subjects
CHIKUNGUNYA virus, NONLINEAR functions, LYAPUNOV functions, COMPUTER simulation
Abstract

This paper proposes two models of a general nonlinear within-host Chikungunya virus (CHIKV) dynamics. The production, incidence, proliferation and removal rates of all compartments are modeled by general nonlinear functions that satisfy a set of reasonable conditions. The second model takes into consideration two forms of infected host cells: (i) latently infected cells which do not produce the CHIKV, (ii) actively infected cells which generate the CHIKV particles. We show that all the solutions of the models are nonnegative and bounded. The global stability of the steady states of the models is proven by applying Lyapunov method and LaSalle’s invariance principle. We perform numerical simulations to complement the obtained theoretical results. [ABSTRACT FROM AUTHOR]

Published
2021

13. A modified generalized projective Riccati equation method

Author

Wazzan, Luwai, Ghaleb, Shafeek A, Wazzan, Luwai, and Ghaleb, Shafeek A

Abstract

A modification of the generalized projective Riccati equation method is proposed to treat some nonlinear evolution equations and obtain their exact solutions. Some known methods are obtained as special cases of the proposed method. In addition, the method is implemented to find new exact solutions for the well-known Dreinfelds-Sokolov-Wilson system of nonlinear partial differential equations.

Published
2016

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