【摘要】：討論了具有比率依賴型功能反應(yīng)函數(shù)以及捕食者具有可替換食物源特征的時(shí)間離散捕食者-食餌系統(tǒng)的穩(wěn)定性和Neimark-Sacker分岔.通過Jury判據(jù)確定了離散系統(tǒng)不動(dòng)點(diǎn)的穩(wěn)定性條件;運(yùn)用中心流形定理和分岔理論分析了Neimark-Sacker分岔的存在性條件;通過數(shù)值模擬揭示了由Neimark-Sacker分岔所引起的通往混沌的路徑以及混沌路徑上的倍周期過程.
[Abstract]:The stability and Neimark-Sacker bifurcation of a time discrete predator-prey system with a ratio dependent functional response function and a predator with the characteristics of alternative food sources are discussed. The stability condition of fixed point of discrete system is determined by Jury criterion, and the existence condition of Neimark-Sacker bifurcation is analyzed by using center manifold theorem and bifurcation theory. The path to chaos caused by Neimark-Sacker bifurcation and the periodic doubling process on chaotic path are revealed by numerical simulation.
【作者單位】： 華北電力大學(xué)工程生態(tài)學(xué)與非線性科學(xué)研究中心;
【基金】：國家水體污染控制與治理科技重大專項(xiàng)(2009ZX07210-009,2015ZX07203-011,2015ZX07204-007) 國家自然科學(xué)基金項(xiàng)目(39560023) 山東省環(huán)境瓶頸解析與突破項(xiàng)目(SDHBPJ-ZB-08)
【分類號(hào)】：O175
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本文編號(hào)：2172712