Year: 2023
Author: Jiawei Chen, Biao Wang
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 4 : pp. 435–453
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v36.n4.8
Journal of Partial Differential Equations, Vol. 36 (2023), Iss. 4 : pp. 435–453
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Predator-prey model carrying capacity spatial heterogeneity stability.