Modeling the Mathematical Transmission of a Pneumonia Epidemic Model with Awareness
A new model for the transmission of a pneumonia epidemic, considering awareness and a mass action incidence function, is presented. Stability analyses for disease-free and endemic equilibrium points are conducted. The Basic Reproduction Number (Ro) for pneumonia with awareness is defined and analyz...
| 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)
2024-02-01
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| Series: | Journal of Applied Sciences and Environmental Management |
| Subjects: | |
| Online Access: | https://www.ajol.info/index.php/jasem/article/view/265447 |
| _version_ | 1827308095442780160 |
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| author | I. A. Olopade E. I. Akinola M. E. Philemon I. T. Mohammed S. O. Ajao S. O. Sangoniyi G. A. Adeniran |
| author_facet | I. A. Olopade E. I. Akinola M. E. Philemon I. T. Mohammed S. O. Ajao S. O. Sangoniyi G. A. Adeniran |
| author_sort | I. A. Olopade |
| collection | DOAJ |
| description |
A new model for the transmission of a pneumonia epidemic, considering awareness and a mass action incidence function, is presented. Stability analyses for disease-free and endemic equilibrium points are conducted. The Basic Reproduction Number (Ro) for pneumonia with awareness is defined and analyzed, showing stability when (Ro < 1) and transitioning to an endemic state when (Ro > 1) . Additionally, a special case is highlighted where the Basic Reproduction Number (Ro*) (without awareness) is greater than (Ro). Basic Reproduction Number with awareness, i.e. (Ro* = 1.0965 > Ro = 0.8772). Furthermore, a numerical simulation is provided to depict how awareness influences the dynamic management of the disease. The results underscore the crucial role of awareness in educating the public about infection risks, ultimately contributing to a decrease in the health burden by mitigating the epidemic peak.
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| first_indexed | 2024-04-24T18:51:25Z |
| format | Article |
| id | doaj.art-26e7ca93a433439bab5ca34fd4ae9841 |
| institution | Directory Open Access Journal |
| issn | 2659-1502 2659-1499 |
| language | English |
| last_indexed | 2024-04-24T18:51:25Z |
| publishDate | 2024-02-01 |
| 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-26e7ca93a433439bab5ca34fd4ae98412024-03-26T20:06:35ZengJoint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)Journal of Applied Sciences and Environmental Management2659-15022659-14992024-02-0128210.4314/jasem.v28i2.11Modeling the Mathematical Transmission of a Pneumonia Epidemic Model with AwarenessI. A. OlopadeE. I. AkinolaM. E. PhilemonI. T. MohammedS. O. AjaoS. O. SangoniyiG. A. Adeniran A new model for the transmission of a pneumonia epidemic, considering awareness and a mass action incidence function, is presented. Stability analyses for disease-free and endemic equilibrium points are conducted. The Basic Reproduction Number (Ro) for pneumonia with awareness is defined and analyzed, showing stability when (Ro < 1) and transitioning to an endemic state when (Ro > 1) . Additionally, a special case is highlighted where the Basic Reproduction Number (Ro*) (without awareness) is greater than (Ro). Basic Reproduction Number with awareness, i.e. (Ro* = 1.0965 > Ro = 0.8772). Furthermore, a numerical simulation is provided to depict how awareness influences the dynamic management of the disease. The results underscore the crucial role of awareness in educating the public about infection risks, ultimately contributing to a decrease in the health burden by mitigating the epidemic peak. https://www.ajol.info/index.php/jasem/article/view/265447Equilibrium Points; Epidemic; Basic Reproduction Number; Stability; Sensitivity; Simulations |
| spellingShingle | I. A. Olopade E. I. Akinola M. E. Philemon I. T. Mohammed S. O. Ajao S. O. Sangoniyi G. A. Adeniran Modeling the Mathematical Transmission of a Pneumonia Epidemic Model with Awareness Journal of Applied Sciences and Environmental Management Equilibrium Points; Epidemic; Basic Reproduction Number; Stability; Sensitivity; Simulations |
| title | Modeling the Mathematical Transmission of a Pneumonia Epidemic Model with Awareness |
| title_full | Modeling the Mathematical Transmission of a Pneumonia Epidemic Model with Awareness |
| title_fullStr | Modeling the Mathematical Transmission of a Pneumonia Epidemic Model with Awareness |
| title_full_unstemmed | Modeling the Mathematical Transmission of a Pneumonia Epidemic Model with Awareness |
| title_short | Modeling the Mathematical Transmission of a Pneumonia Epidemic Model with Awareness |
| title_sort | modeling the mathematical transmission of a pneumonia epidemic model with awareness |
| topic | Equilibrium Points; Epidemic; Basic Reproduction Number; Stability; Sensitivity; Simulations |
| url | https://www.ajol.info/index.php/jasem/article/view/265447 |
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