The effect of cannibalism on the dynamical behavior of age-structured prey-predator systems

العناوين الأخرى

تأثير الافتراس الذاتي على السلوك الديناميكي لنظم الفريسة-المفترس ذات المراحل العمرية

مقدم أطروحة جامعية

Abd al-Jabbar, Umar Abd al-Sattar

مشرف أطروحة جامعية

Naji, Raid Kamil

أعضاء اللجنة

Ahmad, Buthaynah Abd al-Hassun
Fadil, Fadil Subhi
Husayn, Shawqi Sh.

الجامعة

جامعة بغداد

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

العراق

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2011

الملخص الإنجليزي

In this thesis, a study has been made about the effect of cannibalism on two age-structure prey-predator systems.

Two types of age-structure prey-predator systems are proposed and analyzed analytically as well as numerically.

In the first system, it is assumed that there is one prey interacting with a predator that divided into two classes: adults and juveniles according to Holing type-II functional response.

However, in the second system it is assumed that there are two competing preys interacting with a predator, which divided into two classes: adults and juveniles, according to unlimited linear type of functional response.

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

The local stability analysis for both the systems has been carried out using Linearization method and / or Lyapunov method.

Suitable Lyapunov functions have been used for study the global stability.

Numerical simulations have been made for both the systems and the obtained results have been overviewed

التخصصات الرئيسية

الرياضيات

عدد الصفحات

101

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-601812