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Journal of Applied Sciences and Environmental Management
World Bank assisted National Agricultural Research Project (NARP) - University of Port Harcourt
ISSN: 1119-8362
Vol. 24, No. 6, 2020, pp. 975-978
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Bioline Code: ja20141
Full paper language: English
Document type: Research Article
Document available free of charge
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Journal of Applied Sciences and Environmental Management, Vol. 24, No. 6, 2020, pp. 975-978
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Classical Evaluation of Zero, Incomplete and Complete Treatment Effects on SEIRS Model Dynamics
SANGOTOLA, AO & OYEWOLE, O
Abstract
In this research work, we extend the classical SEIR model to accommodate the effect of zero,
incomplete and complete treatment on the dynamics of the model. The basic reproduction number (R0) of the model dynamics is obtained by using the next generation matrix approach. The disease free equilibrium point of the model is found to be locally asymptotically stable if R0 < 1. A suitable Lyapunov function is constructed to determine the global stability of the disease free equilibrium point. Numerical simulation is carried out to determine the effect on the compliance to the treatment prescription.
Keywords
Equilibrium; Lyapunov function; Global stability; Simulation
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© Copyright 2020 - Sangotola and Oyewole.
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