@Article{JPDE-36-4,
author = {Jiawei, Chen and Wang, Biao},
title = {A Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity},
journal = {Journal of Partial Differential Equations},
year = {2023},
volume = {36},
number = {4},
pages = {435--453},
abstract = {<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>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v36.n4.8},
url = {https://global-sci.com/article/88099/a-diffusive-predator-prey-model-with-spatially-heterogeneous-carrying-capacity}
}