Hopf bifurcation and Turing instability in a modified Leslie-Gower prey-predator model

摘要：

　　In this paper,we study a modified Leslie-Gower prey-predator model in the presence of nonlinear harvesting in prey subject to the Neumann boundary condition.Our results reveal the conditions on the parameters so that the periodic solution exist surrounding the interior equilibrium.Furthermore,the direction of Hopf bifurcation and the stability of bifurcated periodic solutions are investigated.For the model with the Neumann boundary condition,Turing instability of the interior equilibrium solution is studied.In particular,Turing instability region regarding the parameters is established.Numerical simulations are carried out to demonstrate the results obtained.

关键词： Hopf bifurcation Turing instability Leslie-Gower prey-predator model

作者: Yan Meng Guangwu Wen Lequan Min

作者单位: School of Mathematics and physics,University of Science and Technology Beijing Beijing,100083, PR China

会议类型: 国际会议

会议名称: 7th International Conference on Systems Biology(第7届计算系统生物学国际研讨会)(ISB2013)

会议地点: 安徽黄山

会议语种:英文

页码: 80-85

在线出版日期: 2013-08-22（万方平台首次上网日期，不代表论文的发表时间）