تحليل الاستقرار لنظام فولتيرا – لوتكا بنمو لوجيستي باستخدام طريقتي ليابونوف

Authors

  • أحمد الكردي

Abstract

النماذج الرياضية للتنافس بين الأنواع هي من بين المسائل الهامة لديناميكا السكان بعدة أنواع. في هذه المقالة، نجري تحليلا رياضيا موضحا بأشكال بيانية باستخدام Matlab لإعطاء تبصر عن حالة التعايش بين نوعين يخضعان لنظام فولتيرا – لوتكا بنمو لوجيستي, كما نقدم تحليل الاستقرار لنظام فولتيرا – لوتكا بنمو لوجيستي باستخدام طريقتي ليابونوف الأولى والثانية. نقترح في طريقة ليابونوف الثانية تابع ليابونوف جديداً يخص النموذج المدروس. نجري العديد من تجارب المحاكاة الحاسوبية باستخدام نظام جبر الحاسوب Matlab لتوضيح سلوك النظام المدروس على المدى الطويل.

The mathematical models of competition between species are one of the most important problems for population dynamics with multi species. In this paper, we give stability analysis for a Lotka-Volterra system with logistic growth by Lyapunov methods. We also present new Lyapunov functions for second Lyapunov method. Many numerical simulations have been carried out on computer algebra system: Maple and Matlab to illustrate the behavior of the considered system for a long time.

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Published

2018-12-05

How to Cite

1.
الكردي أ. تحليل الاستقرار لنظام فولتيرا – لوتكا بنمو لوجيستي باستخدام طريقتي ليابونوف. TUJ-BA [Internet]. 2018Dec.5 [cited 2024Nov.24];30(4). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/5082

Issue

Vol. 30 No. 4 (2008): العلوم الأساسية

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