Positive Solutions for a Stationary Prey-Predator Model with Density-Dependent Diffusion and Hunting Cooperation
Year: 2024
Author: Zhuoru Han, Shanbing Li
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 612–622
Abstract
This paper concerns a stationary prey-predator model with density-dependent diffusion and hunting cooperation under homogeneous Dirichlet boundary conditions. Based on the spectral analysis, the asymptotic stability of trivial and semi-trivial solutions is obtained. Moreover, the sufficient conditions for the existence of positive solutions are established by using degree theory in cones. Our analytical results suggest that density-dependent diffusion and hunting cooperation obviously influence on the positive solutions.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.612
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 3 : pp. 612–622
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Prey-predator model density-dependent diffusion hunting cooperation positive solutions.