Year: 2025
Type: article
Abstract: In this paper, a patchy model in which the migration is induced by the fear effect on the predator was investigated. By applying dynamical theory, the complete study on persistence of the system and the local/global stability of equilibria were discussed. Choosing the diffusion coefficient $ D_1 $ as the bifurcation parameter, transcritical bifurcation occurring near the trivial equilibrium was demonstrated. We concluded that low dispersal is favorable for the coexistence of both species, but large dispersal leads to the extinction of species. There is an optimal diffusion coefficient to make the density of the prey population reach its maximum. In addition, the level of fear effect $ k $ and the maximum fear cost $ \eta $ are beneficial to the total population density of prey.
DOI: 10.3934/mbe.2025042
Authors: Jin Zhong, Yue Xia, Lijuan Chen, Fengde Chen
Institution: Fuzhou University
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: gold
Estimated APC paid: $1,000
OpenAlex ID: W4409295679