TY - JOUR
T1 - Positive Solutions for a Stationary Prey-Predator Model with Density-Dependent Diffusion and Hunting Cooperation
AU - Han , Zhuoru
AU - Li , Shanbing
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 612
EP - 622
PY - 2024
DA - 2024/08
SN - 6
DO - http://doi.org/10.12150/jnma.2024.612
UR - https://global-sci.org/intro/article_detail/jnma/23352.html
KW - Prey-predator model, density-dependent diffusion, hunting cooperation, positive solutions.
AB - <p style="text-align: justify;">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.</p>