Dynamical behavior for the nonautonomous logistic equation
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.
Authors
- Mingming Fan (ORCID: https://orcid.org/0000-0002-0356-4712)
- You-Hui Su (ORCID: https://orcid.org/0000-0001-5216-8663)
- Jian‐Wen Sun (ORCID: https://orcid.org/0000-0002-8384-553X)
Institutions
- Lanzhou University of Technology (CN)
- Lanzhou University of Finance and Economics (CN)
- Lanzhou University (CN)
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems - B
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/dcdsb.2025122
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- National Natural Science Foundation of China