Impulsive Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on the Unification of Discrete and Continuous Systems

• 作者: Ay?e Feza Güvenilir Billur Kaymak?alan Neslihan Nesliye Pelen
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Time Scales CALCULUS PREDATOR-PREY Dynamic Systems Periodic Solutions COINCIDENCE Degree Theory BEDDINGTON-DEANGELIS TYPE Functional Response
• 年，卷（期）: yysxyw_2015,（9）
• 页码范围: 1649-1664
• 页数: 16页
• 分类号: O1

摘要

In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessary for the periodic solution of the predator-prey dynamic systems with Beddington-DeAngelis type functional response. For this study the main tools are time scales calculus and coincidence degree theory. Also the findings are beneficial for continuous case, discrete case and the unification of both these cases. Additionally, unification of continuous and discrete case is a good example for the modeling of the life cycle of insects.