Dynamics of a Predator-Prey Ecological System with Nonlinear Harvesting Rate

作     者：LIU Weiyi LI Biwen FU Chaojin CHEN Boshan 

作者机构：Institute of Technology Xianning Vocational Technical College College of Mathematics and Statistics Hubei Normal University College of Arts and Science Hubei Normal University 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2015年第20卷第1期

页      面：25-33页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 071101[理学-系统理论] 

基　　金：Supported by the National Natural Science Foundation of China(61304057) the Research Program of Hubei Normal University(ky201302) the Young and Middle-Aged Elitists’Scientific and Technological Innovation Team Project of the Institutions of Higher Education in Hubei Province(T2014212) 

主　　题：differential-algebraic equation stability Hopf bifurcation nonlinear harvesting rate 

摘      要：In this paper, a predator-prey ecological economic system with nonlinear harvesting rate is formulated and studied. This system is described by a differential-algebraic equation. By employing local parameterization method, an equivalent differen- tial system with parameter is obtained. Then by normal form the-ory and bifurcation theory, the complex dynamics of the system are investigated, including the local stability of equilibrium point and Hopf bifurcation. Finally, MATLAB simulation illustrates the effectiveness of our results.