Mathematical Modeling for Exploring the Influence of Infectious Diseases
| dc.contributor.author | Rania, Saadi | |
| dc.contributor.author | Supervisor: Bilal, Basti | |
| dc.date.accessioned | 2025-07-07T11:29:34Z | |
| dc.date.available | 2025-07-07T11:29:34Z | |
| dc.date.issued | 2025-06-14 | |
| dc.description.abstract | This thesis explores the role of mathematical modeling in understanding the spread of infectious diseases, with a focus on individuals with chronic conditions. It builds on classical models SI, SIS, SIR, SIRS and develops an extended SECIR model that accounts for chronic health status. The study shows how chronic diseases can increase infection risk and accelerate epidemic spread among vulnerable populations. It analyzes key indicators like the basic reproduction number Rp, considering social, environmental, and health factors. The findings highlight the importance of using mathematical models to guide public health policies, especially in vaccination planning and prioritizing care for high-risk groups. The thesis underscores the value of collaboration between mathematicians and epidemiologists for effective epidemic preparedness. | |
| dc.identifier.uri | https://repository.univ-msila.dz/handle/123456789/46705 | |
| dc.language.iso | en | |
| dc.publisher | Mohamed Boudiaf University of M'sila | |
| dc.subject | Mathematical modeling | |
| dc.subject | MEDICINE::Microbiology, immunology, infectious diseases::Infectious diseases | |
| dc.subject | Chronic diseases | |
| dc.subject | Epidemiological models | |
| dc.subject | Equilibrium Points | |
| dc.subject | Stability of Equilibrium Points | |
| dc.subject | Basic Reproduction Number | |
| dc.subject | Fixed Point Theorem | |
| dc.title | Mathematical Modeling for Exploring the Influence of Infectious Diseases | |
| dc.type | Thesis |