一类食饵-捕食模型的稳定性和Hopf分支的存在性

Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (2): 225-230.

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Stability of a Class of Prey-Predator Model and Existence of Hopf Bifurcation

YAO Jiajia, SHEN Wei

School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China

Received:2021-07-09 Online:2022-03-26 Published:2022-03-26

Abstract

Abstract: By analyzing the position of the root of characteristic equation on the complex plane, we gave the local asymptotic stability and global stability of unique positive equilibrium point of the model and the existence of Hopf bifurcation, and numerically verified the obtained theoretical results by using the MATLAB software package and numerical methods for solving initial value problems of ordinary differential equations.

Key words: delay, prey-predator model, global stability, Hopf bifurcation

CLC Number:

O175.26

YAO Jiajia, SHEN Wei. Stability of a Class of Prey-Predator Model and Existence of Hopf Bifurcation[J].Journal of Jilin University Science Edition, 2022, 60(2): 225-230.

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Stability of a Class of Prey-Predator Model and Existence of Hopf Bifurcation

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