@Article{JNMA-6-612, author = {Han , Zhuoru and Li , Shanbing}, 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 = {http://global-sci.org/intro/article_detail/jnma/23352.html} }