Work

Complex bifurcation phenomena seized in a discrete ratio-dependent Holling-Tanner predator-prey system

Year: 2024

Type: article

Abstract: Using the semi-discretization method, one revisits a predator-prey model with a ratio-dependent Holling-Tanner functional response, which was previously explored using the forward Euler method. Some complex bifurcation phenomena are found in a new discrete system. In particular, one observes some dynamical differences between the two discrete methods not only in the type of fixed point but also in the existence of bifurcation. Numerical simulations are presented to illustrate the derived results.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-024-03855-y

Authors: Dongmei Chen, Xianyi Li

Institutions: Shenzhen University, Zhejiang University of Science and Technology

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

Estimated APC paid: $1,790

Funder: National Natural Science Foundation of China