Year: 2021
Author: Shuhao Wu, Yongli Song
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 2 : pp. 321–334
Abstract
In this paper, we are concerned with the dynamics of a diffusive predator-prey model that incorporates the functional response concerning hunting cooperation. First, we investigate the stability of the semi-trivial steady state. Then, we investigate the influence of the diffusive rates on the stability of the positive constant steady state. It is shown that there exists diffusion-driven Turing instability when the diffusive rate of the predator is smaller than the critical value, which is dependent on the diffusive rate of the prey, and the semi-trivial steady state and the positive constant steady state are both locally asymptotically stable when the diffusive rate of the predator is larger than the critical value. Finally, the nonexistence of nonconstant steady states is discussed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.321
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 2 : pp. 321–334
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Predator-prey model Hunting cooperation Stability Turing bifurcation.