Chen, Meijun and Fu, Shengmao (2023) Global boundedness and stabilization in a predator-prey model with cannibalism and prey-evasion. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (58). pp. 1-23. ISSN 1417-3875
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Abstract
This paper is concerned with a predator-prey model with cannibalism and prey-evasion. The global existence and boundedness of solutions to the system in bounded domains of 1D and 2D are proved for any prey-evasion sensitivity coefficient. It is also shown that prey-evasion driven Turing instability when the prey-evasion coefficient surpasses the critical value. Besides, the existence of Hopf bifurcation, which generates spatiotemporal patterns, is established. And, numerical simulations demonstrate the complex dynamic behavior.
| Item Type: | Article |
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| Uncontrolled Keywords: | predator-prey, cannibalism, prey-evasion, global existence, Turing instability, Hopf bifurcation |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Kotegelt Import |
| Date Deposited: | 18 Jan 2024 09:44 |
| Last Modified: | 28 Mar 2024 13:36 |
| URI: | https://real.mtak.hu/id/eprint/185182 |
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