Bifurcation and Chaos in a Parasitoid-Host-Parasitoid Model

• 作者: Xijuan Liu Yun Liu
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: ECOLOGICAL MODEL Stability BIFURCATION NUMERICAL Simulation
• 年，卷（期）: xdfxxllyyyyw_2018,（1）
• 页码范围: 1-15
• 页数: 15页
• 分类号: O1

摘要

This paper discusses a parasitoid-host-parasitoid ecological model and its dynamical behaviors. On the basis of the center manifold theorem and bi-furcation theory, the existence conditions of the flip bifurcation and Neimark-Sacker bifurcation are derived. In the end of the paper, some typical numerical experiments are performed, which illustrate that the theoretical method is effective.