Classical Evaluation of Zero, Incomplete and Complete Treatment Effects on SEIRS Model Dynamics
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 (Ro) of the model dynamics is obtained by using the next generation matrix approach. The disease free equilibriu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)
2020-07-01
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| Series: | Journal of Applied Sciences and Environmental Management |
| Subjects: | |
| Online Access: | https://www.ajol.info/index.php/jasem/article/view/197669 |
| _version_ | 1797228137803677696 |
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| author | A.O. Sangotola O. Oyewole |
| author_facet | A.O. Sangotola O. Oyewole |
| author_sort | A.O. Sangotola |
| collection | DOAJ |
| description |
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 (Ro) 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 Ro < 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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| first_indexed | 2024-04-24T14:51:55Z |
| format | Article |
| id | doaj.art-ec90fd6d45724c87b7ec4a4879fb4356 |
| institution | Directory Open Access Journal |
| issn | 2659-1502 2659-1499 |
| language | English |
| last_indexed | 2024-04-24T14:51:55Z |
| publishDate | 2020-07-01 |
| publisher | Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP) |
| record_format | Article |
| series | Journal of Applied Sciences and Environmental Management |
| spelling | doaj.art-ec90fd6d45724c87b7ec4a4879fb43562024-04-02T19:49:16ZengJoint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)Journal of Applied Sciences and Environmental Management2659-15022659-14992020-07-0124610.4314/jasem.v24i6.5Classical Evaluation of Zero, Incomplete and Complete Treatment Effects on SEIRS Model DynamicsA.O. SangotolaO. Oyewole 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 (Ro) 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 Ro < 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 https://www.ajol.info/index.php/jasem/article/view/197669adekunle4000@hotmail.co.uk |
| spellingShingle | A.O. Sangotola O. Oyewole Classical Evaluation of Zero, Incomplete and Complete Treatment Effects on SEIRS Model Dynamics Journal of Applied Sciences and Environmental Management adekunle4000@hotmail.co.uk |
| title | Classical Evaluation of Zero, Incomplete and Complete Treatment Effects on SEIRS Model Dynamics |
| title_full | Classical Evaluation of Zero, Incomplete and Complete Treatment Effects on SEIRS Model Dynamics |
| title_fullStr | Classical Evaluation of Zero, Incomplete and Complete Treatment Effects on SEIRS Model Dynamics |
| title_full_unstemmed | Classical Evaluation of Zero, Incomplete and Complete Treatment Effects on SEIRS Model Dynamics |
| title_short | Classical Evaluation of Zero, Incomplete and Complete Treatment Effects on SEIRS Model Dynamics |
| title_sort | classical evaluation of zero incomplete and complete treatment effects on seirs model dynamics |
| topic | adekunle4000@hotmail.co.uk |
| url | https://www.ajol.info/index.php/jasem/article/view/197669 |
| work_keys_str_mv | AT aosangotola classicalevaluationofzeroincompleteandcompletetreatmenteffectsonseirsmodeldynamics AT ooyewole classicalevaluationofzeroincompleteandcompletetreatmenteffectsonseirsmodeldynamics |