On the dynamics of some eco-epidemiological models

العناوين الأخرى

حول ديناميكية بعض النماذج البيئية-الوبائية

مقدم أطروحة جامعية

Yasin, Rasha Majid

مشرف أطروحة جامعية

Naji, Raid Kamil

أعضاء اللجنة

Fadil, Fadil Subhi
Abd al-Hadi, Ahmad Mawlud
Husayn, Shawqi Sh.

الجامعة

جامعة بغداد

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

العراق

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2012

الملخص الإنجليزي

In this thesis, the dynamical behavior of some eco-epidemiological models is investigated.

Two types of prey-predator models involving infectious disease in predator population, which divided it into two compartments; namely susceptible population (S) and infected population (I), are proposed and analyzed.

The first proposed model deals with SIS infectious disease that transmitted directly from external sources, as well as, through direct contact between susceptible and infected individuals using linear type of incidence rate.

While, the second proposed model deals with SIS infectious disease that transmitted through the direct contact between susceptible and infected individuals only using nonlinear type of incidence rate.

Both the models are represented mathematically by the set of nonlinear differential equations.

The existence, uniqueness and boundedness of the solution of these two models are investigated.

The local and global stability conditions of all possible equilibrium points are established.

The occurrence of local bifurcation (such as saddle-node, transcritical and pitchfork) and Hopf bifurcation near each of the equilibrium points are discussed.

Finally, numerical simulation is used to study the global dynamics of the both models.

التخصصات الرئيسية

الرياضيات

الموضوعات

• علم الأحياء
• الرياضيات
• النماذج الرياضية

عدد الصفحات

137

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-602813