یک طرح تفاضلی متناهی غیر استاندارد برای حل شبکه ی غذایی سه بعدی با مدل لوتکا-ولترا مرتبه ی کسری

Iranian Journal of Numerical Analysis and Optimization

Article 3, Volume 6, Issue 1 - Serial Number 9, January 0, Pages 53-79   

Document Type: Research Article

DOI: 10.22067/ijnao.v6i1.41619

Abstract

در این مقاله ما یک مدل مرتبه‌ی کسری از شبکه‌ی غذایی سه بعدی لوتکا-ولترا را معرفی می‌کنیم. ما تحلیل پایداری سیستم کسری را شرح می‌دهیم. طرح تفاضلی متناهی غیراستانداردی بیان می‌شود که رفتار دینامیکی سیستم لوتکا-ولترا مرتبه‌ی کسری را مورد مطالعه قرار می‌دهد. نتایج عددی نشان می‌دهند که تقریبات طرح تفاضلی متناهی غیر استاندارد زمانی که برای سیستم لوتکا-ولترا مرتبه‌ی کسری استفاده می‌شوند‏، بسیار دقیق هستند.

Keywords

معادلات دیفرانسیل کسری; مدل لوتکا-ولترا; سیستم شکار-شکارچی; طرح تفاضلی متناهی غیراستاندارد; پایداری

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