Work

Dynamical behavior for the nonautonomous logistic equation

Year: 2025

Type: article

Abstract: This paper is concerned with the dynamical behavior of some nonautonomous diffusive logistic equations. By means of the upper-lower solutions method, we obtain the dynamical behavior of solutions when the linear reaction term is nonautonomous. When the nonautonomous nonlinear term disappears, we prove that there appears a blow up phenomenon. In addition, we study the corresponding nonlocal dispersal problem and obtain quite different dynamical behavior corresponding to the local diffusion problem.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2025122

Authors: Ming-Ming Fan, Yi-Fei Su, Jian-Wen Sun

Institution: Lanzhou 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: diamond

Funders: National Science Foundation, National Natural Science Foundation of China

Awards: G1196617980, G4540577185, G5601576990