Work

Turing pattern formation in a fractional-order reaction-diffusion Holling-IV predator-prey model

Year: 2025

Type: article

Abstract: It is well known that there is nonexistence of Turing instability in the integer-order Holling type-IV reaction-diffusion predator-prey model. In this paper, we investigate the spatiotemporal dynamics of the effect of the fractional-order derivative and diffusion on the reaction-diffusion predator-prey model with Holling type-IV functional response. Additionally, we give the conditions that Turing instability occurs in the model, which is induced by the fractional-order and diffusion together. Via numerical simulations, we present the evolutionary processes that involve organism distribution and the interaction of spatially distributed prey with local diffusion, and find that the model dynamics exhibits rich and complex Turing patterns.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-025-03998-6

Authors: Zhaohua Wu, Zhiming Wang, Yongli Cai, Weiming Wang

Institutions: Huaiyin Normal University, Nantong University

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: $1,890

Funder: National Natural Science Foundation of China