Work

Delayed Metapopulation models with general dispersion matrix and nonlocal interactions

Year: 2025

Type: article

Abstract: This paper provides sharp criteria of local and global attraction for classical metapopulation models. Our analysis allows any arrangement of patches, nonlocal effects, and bistable nonlinearities. To our knowledge, this is the first general methodology for handling nonautonomous metapopulation models with bistable nonlinearities. From a biological perspective, we review some classical results in metapopulation theory when nonlocal effects are included. The conclusion is that the interplay between diffusion and nonlocal effects generates new dynamical behaviors.

Source: Discrete and Continuous Dynamical Systems

DOI: 10.3934/dcds.2025151

Authors: Juan Quevedo, Alfonso Ruiz-Herrera

Institution: Universidad de Oviedo

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: diamond

Funder: Ministerio de Ciencia, Innovación y Universidades

Award: G56680445