Bifurcation and Stability in a Delayed Predator–Prey Model with Mixed Functional Responses

DOI10.1142/S0218127415400143zbMath1319.34144OpenAlexW2177112675WikidataQ115523795 ScholiaQ115523795MaRDI QIDQ2944481

Jean-Jules Tewa, Radouane Yafia, Hüseyin Merdan, Moulay Aziz-Alaoui

Publication date: 2 September 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415400143

zbMATH Keywords

Hopf bifurcationdelay differential equationspredator-prey modellocal and global stabilitymixed functional responses

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

• Delay differential equations: with applications in population dynamics
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Discrete delay, distributed delay and stability switches
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response
• Effect of seasonality on the dynamics of 2 and 3 species prey\,-\,predator systems
• Global analyses in some delayed ratio-dependent predator-prey systems
• Crisis-limited chaotic dynamics in ecological systems

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