Work

Pattern formation in a fractional-order reaction-diffusion predator-prey model with Holling-III functional response

Year: 2025

Type: article

Abstract: In this paper, we investigate the spatiotemporal dynamics of a fractional-order predator-prey reaction-diffusion model (frPDE) with Holling-type III functional response. We prove that this is not the integer-order reaction-diffusion model, but the frPDE model exhibits fraction-diffusion-induced instability (i.e., Turing instability), which is induced by the fractional-order and diffusion together. Furthermore, via numerical simulations, the frPDE model dynamics exhibits both fractional-order and diffusion controlled Turing pattern formation, which shows that the dynamics of the frPDE model is not simple, but rich and complex.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-025-03891-2

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

Institutions: Huaiyin Normal University, Nantong University, Xuzhou University of 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: $1,890

Funder: National Natural Science Foundation of China