@Article{JNMA-6-3, author = {Zhuoru, Han and Shanbing, Li}, title = {Positive Solutions for a Stationary Prey-Predator Model with Density-Dependent Diffusion and Hunting Cooperation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {3}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.612}, url = {https://global-sci.com/article/91171/positive-solutions-for-a-stationary-prey-predator-model-with-density-dependent-diffusion-and-hunting-cooperation} }