Mathematical Modelling Of An Epidemic In Scale free Network With Imperfect Vaccination

الموضوعات

علوم بحتة وطبيعية

الملخص

In light of the recent COVID-19 pandemic, the mathematical epidemiological model has proven to be essential for understanding the disease dynamic and finding the best control tool to help contain the disease and minimize its impact. This thesis investigates the dynamics of an infectious disease spread with latent infection and vaccination. The aim is to study this model’s dynamic in a network that reflects the heterogeneity of the environment where the disease spreads. The vaccination is assumed to be not perfect, which means that vaccinated persons are likely to be infected and that the vaccinated person could lose their immunity, i.e., the waning rate of the vaccination. Using an extended version of the SEIR model with an additional vaccination compartment model, we first studied the single patch model, and we showed the basic properties in terms of the existence of a solution and its feasibility, as well as the basic reproduction number and stability results. The study was extended to scale-free networks to model the non-uniform connectivity of real-world populations, reflecting the varied susceptibility and contact rates among different groups. The findings highlight the critical thresholds for disease control and emphasize the complex interplay between network topology and disease dynamics. This study advances our understanding of epidemic control and underscores the importance of considering network structures in public health strategies.

روابط وملفات

التعريف والنوع

رقم الوثيقة

0c580a54-6929-44d6-95fb-d4192cdbd5f0

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

840829_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"Abdessamad Tridane","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"Heba Hameed","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

English

المصدر والدورية

اسم المصدر

Mathematical Modelling Of An Epidemic In Scale free Network With Imperfect Vaccination

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

Abdessamad Tridane

الإعداد

Heba Hameed

الاقتباسات الببليوغرافية