Yang, Ruizhi and Song, Qiannan and An, Yong (2021) Spatiotemporal Dynamics in a Predator–Prey Model with Functional Response Increasing in Both Predator and Prey Densities. Mathematics, 10 (1). p. 17. ISSN 2227-7390
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Abstract
In this paper, a diffusive predator–prey system with a functional response that increases in both predator and prey densities is considered. By analyzing the characteristic roots of the partial differential equation system, the Turing instability and Hopf bifurcation are studied. In order to consider the dynamics of the model where the Turing bifurcation curve and the Hopf bifurcation curve intersect, we chose the diffusion coefficients d1 and β as bifurcating parameters. In particular, the normal form of Turing–Hopf bifurcation was calculated so that we could obtain the phase diagram. For parameters in each region of the phase diagram, there are different types of solutions, and their dynamic properties are extremely rich. In this study, we have used some numerical simulations in order to confirm these ideas.
Item Type: | Article |
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Subjects: | Journal Eprints > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 20 Jan 2023 06:39 |
Last Modified: | 25 Sep 2023 05:19 |
URI: | http://repository.journal4submission.com/id/eprint/109 |
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- Spatiotemporal Dynamics in a Predator–Prey Model with Functional Response Increasing in Both Predator and Prey Densities. (deposited 20 Jan 2023 06:39) [Currently Displayed]