Insights into Nonlinear Diffusion Problems and Implications for Biological Systems

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dc.contributor.authorFARIDA, BOUZID
dc.contributor.authorSupervisor: Bilal, Basti
dc.date.accessioned2025-07-07T11:21:41Z
dc.date.available2025-07-07T11:21:41Z
dc.date.issued2025-06-14
dc.description.abstractThis thesis aims to study and analyze nonlinear partial differential equations used in modeling diffusion phenomena in physical and biological systems. The focus is placed on the porous medium equation, non-divergence form equations, and reaction-diffusion systems in the context of disease spread. The research employs mathematical techniques such as Banach's fixed-point theorem and self-similarity to analyze the existence and behavior of solutions. The results demonstrate the ability of these models to provide accurate descriptions of the complex dynamics of natural systems in heterogeneous environments, enhancing their application in fields such as environmental pollution monitoring and epidemic spread modeling
dc.identifier.urihttps://repository.univ-msila.dz/handle/123456789/46704
dc.language.isoen
dc.publisherMohamed Boudiaf University of M'sila
dc.subjectNonlinear partial differential equations
dc.subjectdiffusion problems
dc.subjectself-similar solutions
dc.subjectexistence and uniqueness
dc.subjectbiological systems
dc.subjectequilibrium points
dc.subjectbasic reproduction number
dc.titleInsights into Nonlinear Diffusion Problems and Implications for Biological Systems
dc.typeThesis

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