TY - JOUR
T1 - A Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity
AU - Chen , Jiawei
AU - Wang , Biao
JO - Journal of Partial Differential Equations
VL - 4
SP - 435
EP - 453
PY - 2023
DA - 2023/11
SN - 36
DO - http://doi.org/10.4208/jpde.v36.n4.8
UR - https://global-sci.org/intro/article_detail/jpde/22139.html
KW - Predator-prey model, carrying capacity, spatial heterogeneity, stability.
AB - <p style="text-align: justify;">We study local dynamics of a diffusive predator-prey model in a spatially
heterogeneous environment, where intrinsic growth rate of the prey is spatially homogeneous, whereas carrying capacity of the habitat is spatially inhomogeneous. In
comparison with the existing predator-prey models, the stability of semi-trivial steady
state of this model displays distinct properties. For example, for certain intermediate
ranges of the death rate of the predator, the semi-trivial steady state can change its
stability at least once as the dispersal rate of the prey varies from small to large, while
the stability of the semi-trivial steady state is immune from the dispersal rate of the
predator.</p>