Global solutions near homogeneous steady states in a fully cross-diffusive predator–prey system with density-dependent motion
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00033-023-02127-1.pdf
Reference28 articles.
1. Amann, H.: Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. In: Function Spaces, Differential Operators and Nonlinear Analysis (Friedrichroda,: vol. 133 of Teubner-Texte Math. Teubner, Stuttgart, vol. 1993, pp. 9–126 (1992)
2. Chu, J., Jin, H.-Y.: Predator–prey systems with defense switching and density-suppressed dispersal strategy. Math. Biosci. Eng. 19, 12472–12499 (2022)
3. Feng, T., Wu, L.: Global dynamics and pattern formation for predator–prey system with density-dependent motion. Math. Biosci. Eng. 20, 2296–2320 (2023)
4. Fuest, M.: Global solutions near homogeneous steady states in a multidimensional population model with both predator- and prey-taxis. SIAM J. Math. Anal. 52, 5865–5891 (2020)
5. Fuest, M.: Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity. Nonlinearity 35, 608–657 (2022)
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