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Mathematical Modeling and Analysis of Malaria Propagation
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| dc.contributor.author | BOUGHRARA, Assia | |
| dc.date.accessioned | 2025-12-02T09:46:51Z | |
| dc.date.available | 2025-12-02T09:46:51Z | |
| dc.date.issued | 2025-06-03 | |
| dc.identifier.uri | http//localhost:8080/jspui/handle/123456789/13648 | |
| dc.description.abstract | The aim of this thesis is to study the dynamics model of the malaria parasite. The mathematical model was developed based on the SEIR model for humans and the SI model for mosquitoes. The basic reproduction number was calculated, and then the stability of the disease-free equilibrium point was studied. If R0>1, it is unstable, but if R0<1, it is locally asymptotically stable. This was proven using the Poincaré-Lyapunov theorem and globally asymptotically stable. This was proven using the Lyapunov function. The existence and uniqueness of the endemic equilibrium point were studied, and it was proven to be globally asymptotically stable if R0>1, also using the Lyapunov function, and otherwise unstable. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | University of Echahid Cheikh Larbi Tébessi -Tébessa | en_US |
| dc.subject | Basic Reproduction Number, Global and Local Asymptotic Stabilitiy, and Disease-Free Equilibrium, Endemic Equilibrium, Lyapunov Function, SEIR and SI Model. | en_US |
| dc.title | Mathematical Modeling and Analysis of Malaria Propagation | en_US |
| dc.type | Thesis | en_US |
