仅食饵染病的离散捕食系统的分支分析  

Bifurcation analysis of discrete predator-prey system with only prey infection

作　　者：李航航 胡新利[1] LI Haaihaai;HU Xinli(School of Sciences,Xi'an Polytechnic University,Xi'an 710048,China)

机构地区：[1]西安工程大学理学院,西安710048

出　　处：《黑龙江大学自然科学学报》2023年第1期25-33,共9页Journal of Natural Science of Heilongjiang University

基　　金：陕西省自然科学基金(2021JM-445)。

摘　　要：研究了食饵具有双线性疾病发生率的染病捕食者-食饵离散系统的分支分析与混沌控制。通过前向欧拉法对系统离散化,获得了离散系统平衡点的存在性和正平衡点的稳定性条件。应用n维离散系统发生分支的显式判据,得到了系统正平衡点处Neimark-Sacker分支和Flip分支产生的条件。采用状态反馈和参数扰动的混合控制策略来控制分支和混沌行为。利用数值模拟验证支持了理论结果和控制策略的有效性。The bifurcation analysis and chaos control of infected predator-prey discrete system with bilinear disease incidence are studied. The existence and the stability of equilibrium point of discrete system discretized by forward Euler method are obtained. The conditions for the existence of Neimark-Sacker bifurcation and Flip bifurcation at the positive equilibrium of the system are obtained using explicit criteria for bifurcation of n-dimensional discrete systems. A hybrid control strategy of state feedback and parameter disturbance is used to control bifurcation and chaotic behavior. Numerical simulations are used to verify the theoretical results and the effectiveness of the control strategy.

关 键 词：捕食者-食饵系统 Neimark-Sacker分支 Flip分支 混沌控制 

分 类 号：Q939.97[生物学—微生物学]