Stability and Bifurcation Analysis of a Discrete Predator-Prey Model with Mixed Holling Interaction  

作　　者：M.F.Elettreby Tamer Nabil A.Khawagi 

机构地区：[1]Mathematics Department,Faculty of Science,King Khalid University,Abha,9004,Saudi Arabia. [2]Mathematics Department,Faculty of Science,Mansoura University,Mansoura,35516,Egypt. [3]Basic Science Department,Faculty of Computers and Informatics,Suez Canal University,Ismailia,Egypt. [4]Mathematics Department,Faculty of Science and Arts,King Khalid University,Mohayil Asir,Saudi Arabia.

出　　处：《Computer Modeling in Engineering & Sciences》2020年第3期907-921,共15页工程与科学中的计算机建模（英文）

基　　金：the Deanship of Scientific Research at King Khalid University for funding this work through the Big Research Group Project under grant number(R.G.P2/16/40).

摘　　要：In this paper,a discrete Lotka-Volterra predator-prey model is proposed that considers mixed functional responses of Holling types I and III.The equilibrium points of the model are obtained,and their stability is tested.The dynamical behavior of this model is studied according to the change of the control parameters.We find that the complex dynamical behavior extends from a stable state to chaotic attractors.Finally,the analytical results are clarified by some numerical simulations.

关 键 词：Predator-prey model functional response of Holling type stability and bifurcation analysis chaos. 

分 类 号：O17[理学—数学]