Work

Traveling-wave solutions for a temporally discrete predator–prey-type model with time delays and spatial diffusion

Year: 2025

Type: article

Abstract: This study is concerned with the existence of traveling-wave solutions to a temporally discrete predator–prey model with time delays and spatial diffusion. To overcome the difficulties caused by nonmonotone and discrete features, a new type of partial quasimonotone condition is introduced. By using the cross-iteration method and Schauder’s fixed-point theorem, the existence of traveling-wave solutions is reduced to the existence of a pair of upper and lower solutions to the corresponding profile equation. The obtained results can be well applied to temporally discrete reaction–diffusion Lotka–Volterra systems with delays.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-025-03932-w

Authors: Qing Zhu, Huaqin Peng

Institution: Guangxi Normal 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

Funders: Natural Science Foundation of Guangxi Zhuang Autonomous Region, National Natural Science Foundation of China