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View all- Chen ZLi SZhang X(2022)Analysis of a Delayed Reaction-Diffusion Predator–Prey System with Fear Effect and Anti-Predator BehaviourMathematics10.3390/math1018327010:18(3270)Online publication date: 8-Sep-2022
Hopf Bifurcation Analysis in a Diffusive Food-Chain Model with Two Time Delays
Pages 48 - 56
Abstract
In this paper, a food chain model with two time delays and diffusion is investigated. The local stability of the positive equilibrium is analyzed. By choosing the two time delays as the bifurcation parameter, the existence of Hopf bifurcation is studied. Using the normal form method and center manifold theorem, we can derive explicit formulas to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solution. Numerical simulations are carried out to illustrate our theoretical results.
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Index Terms
- Hopf Bifurcation Analysis in a Diffusive Food-Chain Model with Two Time Delays
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Published In
May 2017
123 pages
ISBN:9781450348799
DOI:10.1145/3093293
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- Department of Computer Science, University of Szeged: Department of Computer Science, University of Szeged
- University of Lisbon: University of Lisbon
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Association for Computing Machinery
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Published: 14 May 2017
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ICBBT '17
ICBBT '17: 9th International Conference on Bioinformatics and Biomedical Technology
May 14 - 16, 2017
Lisbon, Portugal
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View all- Chen ZLi SZhang X(2022)Analysis of a Delayed Reaction-Diffusion Predator–Prey System with Fear Effect and Anti-Predator BehaviourMathematics10.3390/math1018327010:18(3270)Online publication date: 8-Sep-2022
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