Stability Analysis of a Ratio-Dependent Predator-Prey Model | Zendy

Pei Yao | Zendy; Zuocheng Wang | Zendy; Lingshu Wang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability Analysis of a Ratio-Dependent Predator-Prey Model

Author(s) -

Pei Yao,

Zuocheng Wang,

Lingshu Wang

Publication year - 2022

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2022/4605267

Subject(s) - hopf bifurcation , stability (learning theory) , predator , mathematics , predation , boundary (topology) , bifurcation , control theory (sociology) , thermodynamics , mathematical analysis , physics , biology , ecology , economics , nonlinear system , computer science , control (management) , management , quantum mechanics , machine learning

In this study, a ratio-dependent predator-prey model is investigated. The local stability and global stability of the nonnegative boundary equilibrium and positive equilibrium of the model are discussed, respectively. Sufficient condition is obtained for the existence of Hopf bifurcation at the positive equilibrium.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research